UNIT 3: Computer Aided Engineering Applications
A. TURBOMACHINERY ANALYSIS & DESIGN
1.0 Fundamental Concepts & Equations
Euler's Turbine Equation
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Definition: Relates the change in angular momentum of the fluid to the torque exerted on the rotor.
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Derivation: From moment of momentum principle for a steady flow through a turbomachine.
$$ \dot{W} = \dot{m} (U_2 V_{\theta 2} - U_1 V_{\theta 1}) $$
Where:
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$\dot{W}$ = Power transferred (W)
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$\dot{m}$ = Mass flow rate (kg/s)
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$U$ = Blade speed (m/s)
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$$\displaystyle V_{\theta} $$ = Tangential (whirl) component of absolute velocity (m/s)
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Subscripts 1 & 2 denote inlet and outlet.
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Significance for Reaction Turbines: For a reaction turbine ( Parsons stage), $$\displaystyle V_{\theta 1} = V_{\theta 2} $$ (symmetrical velocity diagram), simplifying to $$\displaystyle \dot{W} = \dot{m} U (V_{\theta 2} - V_{\theta 1}) $$.
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Energy Equation Interpretation: The Euler equation represents the ideal, isentropic work transfer per unit mass, assuming no losses between fluid and blades.
[!TIP] Exam often asks to derive Euler's equation from first principles. Remember the sign convention: work done by the fluid on the blades is positive for turbines.
Degree of Reaction (R)
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Definition: The ratio of the static enthalpy drop in the rotor blades to the total static enthalpy drop in the stage.
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Mathematical Expression:
$$ R = \frac{\text{Enthalpy drop in rotor}}{\text{Total stage enthalpy drop}} = \frac{h_1 - h_2}{h_0 - h_2} \quad \text{(for stage with nozzle + rotor)} $$
Alternatively, in terms of velocity diagram for symmetrical blading:
$$ R = \frac{1}{2} - \frac{(V_{\theta 2} - V_{\theta 1})}{2U \tan \beta_2} \quad \text{(for Parsons/reaction turbine)} $$
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50% Reaction Turbine (Parsons Stage):
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Rotor and stator blades are identical and symmetrical.
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Velocity diagram is symmetrical: $$\displaystyle \alpha_1 = \beta_2 $$, $$\displaystyle \beta_1 = \alpha_2 $$.
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Pressure drop occurs equally in fixed and moving blades.
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Optimal for axial thrust balance.
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Application to Steam Turbines: High reaction (R > 0.5) stages are used in the low-pressure sections of large steam turbines to improve efficiency and reduce blade speed.
Velocity Diagrams
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Construction for Impulse Turbines (e.g., Curtis):
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Draw absolute velocity $$\displaystyle V_1 $$ at nozzle angle $$\displaystyle \alpha_1 $$.
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Draw blade speed $U$ horizontally.
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Relative velocity $$\displaystyle W_1 $$ is the vector difference $$\displaystyle V_1 - U $$.
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For frictionless, symmetrical blades: $$\displaystyle W_2 = W_1 $$, $$\displaystyle \beta_1 = \beta_2 $$.
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$$\displaystyle V_2 $$ is found by adding $U$ to $$\displaystyle W_2 $$.
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Key: $$\displaystyle V_1 >> U $$, large pressure drop in nozzle only.
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Construction for Reaction Turbines (Parsons Stage):
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$$\displaystyle V_1 $$ at $$\displaystyle \alpha_1 $$, $U$ horizontal.
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$$\displaystyle W_1 $$ such that $$\displaystyle \beta_1 $$ is designed for shockless entry.
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Pressure drop in rotor causes $$\displaystyle W_2 > W_1 $$ (acceleration).
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$$\displaystyle V_2 $$ at $$\displaystyle \alpha_2 = \beta_1 $$ (symmetry for 50% reaction).
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$$\displaystyle V_{\theta 1} = V_{\theta 2} $$, so Euler work is $$\displaystyle U(V_{\theta 2} - V_{\theta 1}) = 0 $$? No: For 50% reaction, $$\displaystyle V_{\theta 1} \neq V_{\theta 2} $$ unless $$\displaystyle \alpha_1 = \beta_2 $$. Standard derivation gives $$\displaystyle V_{\theta 2} - V_{\theta 1} = 2U \cos \alpha_1 $$ for symmetrical blading.
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Relationship (Steam vs. Hydro Turbines):
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Steam Turbine: Absolute velocity changes significantly due to large pressure drop in nozzles/stators. $$\displaystyle V_1 \neq V_2 $$ generally.
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Hydro Turbine (Pelton, Francis): Pressure drop occurs entirely in volute/casing (for reaction) or nozzle (for impulse). Velocity diagrams are simpler; for Pelton (impulse), $$\displaystyle V_1 $$ is jet velocity, $$\displaystyle W_1 = V_1 - U $$, $$\displaystyle W_2 \approx W_1 $$ (ideal), $$\displaystyle V_2 \approx V_1 - 2U\cos\beta_1 $$.
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Dimensional Analysis (Buckingham Pi Theorem)
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Goal: Express efficiency $\eta$ as function of $\rho, \mu, \omega, D, Q$.
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Variables:
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$\eta$: Efficiency (dimensionless) → Repeating variable.
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$\rho$: Density ($$\displaystyle ML^{-3} $$)
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$\mu$: Viscosity ($$\displaystyle ML^{-1}T^{-1} $$)
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$\omega$: Angular speed ($$\displaystyle T^{-1} $$)
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$D$: Diameter ($L$)
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$Q$: Discharge ($$\displaystyle L^3T^{-1} $$)
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Steps:
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Total variables $$\displaystyle n=6 $$, fundamental dimensions $$\displaystyle k=3 $$ (M, L, T) → $\pi$ terms = $$\displaystyle n-k = 3 $$.
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Choose repeating variables: $\rho, \omega, D$ (cover M, L, T).
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Form $\pi$ terms for $\mu$ and $Q$:
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$$\displaystyle \pi_1 = \mu / (\rho \omega D^2) $$ → Reynolds number inverse.
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$$\displaystyle \pi_2 = Q / (\omega D^3) $$ → Flow coefficient $\phi$.
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Efficiency function:
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$$ \eta = f\left( \frac{\rho \omega D^2}{\mu}, \frac{Q}{\omega D^3} \right) = f\left( Re, \phi \right) $$
- Significance: Allows performance testing of geometrically similar turbomachines at different scales/speeds by maintaining constant $\pi$ groups.
[!TIP] Common mistake: Forgetting that efficiency is dimensionless, so it becomes the dependent $\pi$ term. Always verify dimensions of each $\pi$ term is zero.
2.0 Steam Turbines
Compounding
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Velocity Compounding (Curtis Turbine):
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Principle: High jet velocity from nozzle is compounded (divided) by multiple stages of moving blades on the same shaft (no intervening nozzles).
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Construction: One nozzle → multiple (2-3) rotor blade rings on same drum.
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Advantage: Reduces blade speed for given jet velocity, lowering centrifugal stress. Suitable for high-pressure stages.
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Disadvantage: More complex, higher leakage losses.
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Pressure Compounding (Rateau Turbine):
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Principle: Total pressure drop is divided into many small drops by alternating nozzles and moving blades (multiple stages).
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Construction: Classic multi-stage turbine: Nozzle → Moving blades → Nozzle → Moving blades...
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Advantage: Better efficiency at partial loads, lower exit velocities.
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Disadvantage: Longer shaft, more bearings.
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Comparative Analysis:
| Feature | Velocity Compounding (Curtis) | Pressure Compounding (Rateau) | |---------|-----------------------------|-----------------------------| | Pressure Drop | All in first nozzle | Distributed over stages | | Blade Speed | Lower for given $$\displaystyle V_1 $$ | Higher per stage | | Stages | Few (2-3) on one shaft | Many (10-20) | | Application | HP stages of large turbines | LP stages, industrial turbines | | Efficiency | Lower than pressure compounded | Higher, especially at part load |
Performance & Losses
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Major Losses:
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Nozzle Losses: Friction, shock, incomplete expansion.
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Blade Friction Losses: Skin friction on blade surfaces.
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Blade Exit Loss (Kinetic Energy Loss): $$\displaystyle V_2^2/2 $$ not recovered.
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Leakage Losses: Past blade tips, glands.
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Disc Friction Losses: Windage on rotating discs.
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Blade Efficiency ($$\displaystyle \eta_b $$) Optimization:
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For impulse turbine with friction: $$\displaystyle \eta_b = \frac{2 U \cos \beta_2}{V_1} \left( \cos \alpha_1 - \frac{\rho}{2} \right) $$ where $$\displaystyle \rho = \frac{V_2}{V_1} $$ (velocity coefficient).
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Condition for max $$\displaystyle \eta_b $$: $$\displaystyle U/V_1 = \frac{\cos \alpha_1}{2} $$ (for frictionless, $$\displaystyle \rho=1 $$).
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Stage Efficiency ($$\displaystyle \eta_{stage} $$): Product of nozzle efficiency $$\displaystyle \eta_n $$ and blade efficiency $$\displaystyle \eta_b $$.
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Overall Efficiency ($$\displaystyle \eta_{overall} $$): $$\displaystyle \eta_{overall} = \eta_{mech} \times \eta_{thermal} $$.
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Reheat Factor (RF):
- Definition: Ratio of cumulative isentropic enthalpy drop to total isentropic enthalpy drop for the entire turbine.
$$ RF = \frac{\sum (h_i - h_{i+1})_s}{(h_{inlet} - h_{exit})_s} $$
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Cause of Multi-stage Efficiency Improvement: In multi-stage turbines, reheat (intermediate reheating of steam in the blade rows) reduces moisture content in later stages, improving blade efficiency. RF > 1. Typical RF = 1.03 to 1.08 for large turbines.
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Relation: $$\displaystyle \eta_{multi-stage} = \eta_{single-stage} \times RF $$.
Design Parameters
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Blade Inlet/Outlet Angles for Shockless Operation:
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Condition: Relative velocity $$\displaystyle W_1 $$ must be tangent to blade inlet angle $$\displaystyle \beta_1 $$ → $$\displaystyle W_1 $$ direction = blade inlet direction.
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For impulse turbine with symmetrical blades ($$\displaystyle \beta_1 = \beta_2 $$), shockless condition: $$\displaystyle \beta_1 = \tan^{-1}\left( \frac{U}{V_1 \cos \alpha_1} \right) $$.
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Blade Speed Optimization:
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From blade efficiency formula, optimum $$\displaystyle U/V_1 = \cos \alpha_1 / 2 $$ for max efficiency.
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Practical limit: $U$ limited by centrifugal stress $$\displaystyle \sigma \propto U^2 D $$.
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Axial Thrust Calculation:
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Net axial force on blades: $$\displaystyle F_a = \dot{m} (V_{f1} - V_{f2}) + (p_1 A_1 - p_2 A_2) $$.
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For impulse turbine with symmetrical blades and neglecting pressure forces: $$\displaystyle F_a = \dot{m} V_1 (\sin \alpha_1 - \sin \alpha_2) $$.
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For reaction turbine: Pressure forces significant; must include $$\displaystyle p_1 A_1 - p_2 A_2 $$.
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Governing
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Methods:
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Throttle Governing: Main steam valve throttled to control flow. Simple, used for small load changes.
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Nozzle Governing (Group Governing): Sets of nozzles turned on/off sequentially. Used in large turbines.
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Bypass Governing: Steam bypassed to condenser.
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Slide Valve Governing: Obsolete.
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Importance: Maintains constant speed under varying load, prevents overspeeding, protects turbine from stress during load fluctuations.
3.0 Hydraulic Turbines
Pelton Wheel
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Velocity Diagram & Bucket Design:
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Single jet hits split bucket (double-cupped).
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$$\displaystyle V_1 = $$ jet velocity, $$\displaystyle U = $$ bucket speed.
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Ideal: $$\displaystyle V_2 \approx V_1 - 2U\cos\beta_1 $$; for $$\displaystyle \beta_1 \approx 0^\circ $$ (bucket shape), $$\displaystyle V_2 \approx V_1 - 2U $$.
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Optimum $$\displaystyle U/V_1 = 0.5 $$ for max efficiency.
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Power Available at Nozzle:
$$ P_{avail} = \rho g Q H $$
Where $H$ = net head, $Q$ = discharge.
- Hydraulic Efficiency ($$\displaystyle \eta_h $$):
$$ \eta_h = \frac{\text{Power developed by runner}}{\text{Power available at nozzle}} = \frac{\dot{m} U (V_1 + V_2 \cos \beta_2)}{\rho g Q H} \approx \frac{2U(V_1 - U)}{V_1^2} \quad \text{(ideal)} $$
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Effect of Side Clearance Angle:
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Bucket sides are not perfectly vertical; have clearance angle (typically $$\displaystyle 15^\circ-20^\circ $$) to prevent rubbing.
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Causes escape velocity loss: some water escapes without transferring full momentum → reduces efficiency.
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Larger clearance angle → lower efficiency.
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Draft Tubes
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Necessity & Function:
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Converts kinetic energy at runner exit to pressure head (pressure recovery).
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Allows setting turbine above tailrace level → protects from flooding, facilitates maintenance.
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Increases net head effectively: $$\displaystyle H_{net} = H_{gross} - h_f - h_{dt} $$, where $$\displaystyle h_{dt} $$ is draft tube head loss.
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Types:
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Conical Draft Tube: Simple, efficient, used for vertical shafts.
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Cylindrical Draft Tube: For low specific speed turbines.
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Elbow Draft Tube: For horizontal shafts, compact.
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Pressure Recovery: Based on Bernoulli: $$\displaystyle p_{exit} + \frac{1}{2}\rho V_3^2 = p_{tailrace} + \frac{1}{2}\rho V_4^2 + h_{loss} $$.
Cavitation
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Phenomenon: Formation and collapse of vapor bubbles in regions of local pressure below vapor pressure.
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Causes in Turbines:
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High suction head (low pressure at runner inlet, especially for reaction turbines).
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High flow velocity.
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Inadequate NPSH (Net Positive Suction Head) available.
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Effects:
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Pitting and erosion of blades (material loss).
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Vibration, noise, loss of performance.
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Reduced efficiency, eventual failure.
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Prevention Methods:
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Ensure NPSH_available > NPSH_required by design.
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Use cavitation-resistant materials (stainless steel, bronze).
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Optimize runner inlet design (larger diameter, lower speed).
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Install turbine below tailrace level (positive suction head).
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Specific Speed ($$\displaystyle N_s $$)
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Definition: The speed of a geometrically similar turbine that would develop unit power (1 kW) under unit head (1 m).
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Derivation from similarity laws:
$$ P \propto N^2 D^5, \quad H \propto N^2 D^2 \quad \Rightarrow \quad N_s = \frac{N \sqrt{P}}{H^{5/4}} \quad \text{(metric units)} $$
Where $N$ = rpm, $P$ = kW, $H$ = m.
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Significance for Turbine Selection:
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Low $$\displaystyle N_s $$ (0-30): Pelton wheel (impulse, high head, low flow).
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Medium $$\displaystyle N_s $$ (30-300): Francis turbine (reaction, medium head/flow).
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High $$\displaystyle N_s $$ (300-1000): Kaplan/Propeller (reaction, low head, high flow).
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Efficiencies
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Hydraulic Efficiency ($$\displaystyle \eta_h $$): $$\displaystyle \frac{\text{Power delivered to runner}}{\text{Water power input}} $$.
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Mechanical Efficiency ($$\displaystyle \eta_m $$): $$\displaystyle \frac{\text{Shaft power}}{\text{Power delivered to runner}} $$ (bearings, gland losses).
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Overall Efficiency ($$\displaystyle \eta_o $$): $$\displaystyle \eta_o = \eta_h \times \eta_m $$.
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Manometric Head ($$\displaystyle H_m $$):
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Definition: The head equivalent to the pressure rise produced by the pump/turbine, including losses.
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For pumps: $$\displaystyle H_m = \frac{p_{out} - p_{in}}{\rho g} + \frac{V_2^2 - V_1^2}{2g} + (z_2 - z_1) $$.
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Used to calculate pump head excluding velocity head differences.
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4.0 Compressors
Axial Flow Compressor
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Vector Diagram Construction:
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Draw axial velocity $$\displaystyle V_f $$ (constant for design).
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Draw blade speed $U$ (increases with radius).
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Relative velocity $$\displaystyle W_1 $$ enters at angle $$\displaystyle \beta_1 $$ (determined by blade inlet angle).
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Absolute velocity $$\displaystyle V_1 $$ has components $$\displaystyle V_f $$ and $$\displaystyle V_{\theta 1} $$.
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In rotor, $$\displaystyle W_2 $$ is turned by blade angle $$\displaystyle \beta_2 $$.
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$$\displaystyle V_2 = W_2 + U $$.
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In stator, $$\displaystyle V_2 $$ is turned back to $$\displaystyle V_3 $$ with $$\displaystyle V_{f3} = V_f $$ for next stage.
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Surging: System instability at low flow rates. Flow separation on compressor blades → reversed flow → pressure drop → flow re-establishes → cycle repeats. Causes vibration, damage.
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Choking: Mass flow limit at high flow rates. Sonic velocity reached at blade throat ($$\displaystyle V_f / \sin \beta_{min} = a $$). Flow cannot increase further; pressure ratio drops.
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Stage Efficiency ($$\displaystyle \eta_{stage} $$): $$\displaystyle \eta_{stage} = \frac{\text{Isentropic work}}{\text{Actual work input}} = \frac{c_p T_1 \left[ (p_2/p_1)^{(\gamma-1)/\gamma} - 1 \right]}{c_p (T_2 - T_1)} $$.
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Overall Efficiency: $$\displaystyle \eta_{overall} = \frac{\text{Isentropic work for whole compressor}}{\text{Actual total work input}} $$.
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Polytropic Efficiency ($$\displaystyle \eta_p $$):
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Definition: Efficiency of an infinitesimal stage; constant for all stages in a multi-stage compressor.
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Significance: More accurate for comparing compressors of different pressure ratios; independent of pressure ratio.
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Relation to Isentropic Efficiency:
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$$ \eta_s = \frac{(r_p)^{(\gamma-1)/\gamma} - 1}{(r_p)^{(\gamma-1)/(\gamma \eta_p)} - 1} $$
Where $$\displaystyle r_p $$ = total pressure ratio.
Centrifugal Compressor
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Vector Diagram Construction:
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Inlet: $$\displaystyle V_1 $$ radial (if vaneless) or at angle (if with inlet guide vanes).
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$$\displaystyle U_1 $$ tangential at inlet radius $$\displaystyle r_1 $$.
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$$\displaystyle W_1 $$ relative velocity.
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In impeller, $$\displaystyle W_2 $$ at outlet radius $$\displaystyle r_2 $$, $$\displaystyle \beta_2 $$ is blade outlet angle.
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$$\displaystyle V_2 = U_2 + W_2 $$; has radial and tangential components.
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In diffuser, $$\displaystyle V_2 $$ slowed down, pressure increased.
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Comparison with Axial Flow:
| Feature | Centrifugal | Axial Flow | |---------|-------------|------------| | Pressure Ratio per Stage | High (3-5:1) | Low (1.1-1.2:1) | | Flow Rate | Medium | High | | Efficiency | Slightly lower | Higher (for large capacity) | | Size/Weight | Compact | Long, slender | | Application | Medium capacity, high pressure | Large capacity, gas turbines |
General Compressor Analysis
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Positive Displacement Machines:
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Traps fixed volume, displaces it to higher pressure.
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Types: Reciprocating, rotary (vane, screw, lobe).
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Advantage: High pressure at low flow, good for gases.
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Slip Factor ($\sigma$):
- Definition: Ratio of actual whirl velocity at impeller outlet to ideal (no slip) whirl velocity.
$$ \sigma = \frac{V_{\theta 2, actual}}{V_{\theta 2, ideal}} = \frac{V_{\theta 2}}{U_2} \quad \text{(for radial entry)} $$
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Cause: Fluid viscosity, boundary layer, finite number of blades → deviation from ideal flow.
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Effect: Reduces pressure rise and efficiency. Stodola's slip factor: $$\displaystyle \sigma = 1 - \frac{\pi}{z} \frac{\sin \beta_2}{1 - m} $$ where $z$ = blades, $$\displaystyle m = r_1/r_2 $$.
5.0 Pumps & Power Transmission
Centrifugal vs Reciprocating Pumps
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Centrifugal Pump:
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Advantages: Continuous flow, low maintenance, no valves, handles suspensions, high flow rates.
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Disadvantages: Low suction head, efficiency drops at high pressure, priming needed.
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Applications: Water supply, irrigation, chemical transfer.
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Reciprocating Pump:
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Advantages: High pressure, high efficiency at high head, good suction lift, constant delivery (with air vessel).
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Disadvantages: Pulsating flow, high maintenance, valves wear, not for viscous fluids.
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Applications: High-pressure cleaning, oil pipeline, dosing.
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Pump Analysis
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Specific Speed of Pumps ($$\displaystyle N_s $$):
- Definition: Speed at which a geometrically similar pump would deliver 1 m³/s against 1 m head.
$$ N_s = \frac{N \sqrt{Q}}{H^{3/4}} \quad \text{(metric)} $$
Where $N$ = rpm, $Q$ = m³/s, $H$ = m.
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Significance: Predicts pump type and shape:
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Low $$\displaystyle N_s $$ (< 500): Radial flow (centrifugal).
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Medium $$\displaystyle N_s $$ (500-5000): Mixed flow.
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High $$\displaystyle N_s $$ (> 5000): Axial flow.
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Manometric Head ($$\displaystyle H_m $$): See above under Hydraulic Turbines.
Fluid Power Devices
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Fluid Coupling:
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Working Principle: Hydraulic connection between driving and driven members via fluid. No mechanical contact.
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Components: Impeller (pump) on input shaft, runner (turbine) on output shaft, casing.
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Slip ($s$): $$\displaystyle s = \frac{N_1 - N_2}{N_1} = 1 - \frac{T_2}{T_1} $$ (torque ratio).
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Efficiency ($\eta$): $$\displaystyle \eta = \frac{T_2 \omega_2}{T_1 \omega_1} = \frac{N_2}{N_1} = 1 - s $$.
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Application: Soft start, overload protection, vibration damping.
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Torque Converter:
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Construction: Similar to coupling but with stator (fixed blades) between impeller and runner.
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Operation: Stator redirects fluid flow from runner to impeller → torque multiplication.
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Torque Ratio: $$\displaystyle TR = \frac{T_2}{T_1} > 1 $$ at low $$\displaystyle N_2/N_1 $$.
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Efficiency: Lower than coupling due to stator losses; high at high speed ratios.
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Application: Automatic transmissions, marine propulsion.
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Hydraulic Intensifier:
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Principle: Uses low-pressure, high-volume fluid to drive a piston that pressurizes a smaller area → high pressure, low volume output.
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Construction: Two concentric cylinders, large diameter piston (low pressure side) fixed to small diameter piston (high pressure side).
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Application: Hydraulic presses, test rigs where high pressure needed from low-pressure source.
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[!TIP] Torque converter vs fluid coupling: Stator is key differentiator. Converter multiplies torque; coupling only transmits.
B. PRODUCT DESIGN & COMPUTER AIDED MANUFACTURING
1.0 Product Development Framework
Product Life Cycle (PLC)
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Stages:
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Introduction: Low sales, high costs, negative profit. Marketing focus on awareness. Example: Electric vehicles (early 2010s).
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Growth: Rapid sales increase, profits rise, competition enters. Example: Smartphones (2010-2015).
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Maturity: Sales peak, market saturated, price wars, profit stabilizes/declines. Example: Basic mobile phones (2010s).
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Decline: Sales fall, profit erodes, product phased out. Example: DVD players.
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Strategic Implications:
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Introduction: Invest in R&D, build brand.
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Growth: Expand distribution, improve product.
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Maturity: Cost reduction, product differentiation, find new markets.
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Decline: Harvest or divest.
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Product Strategy
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Elements:
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Target market selection.
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Product positioning.
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Value proposition.
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Roadmap.
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Resource Allocation Processes:
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Portfolio management (BCG matrix).
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Stage-gate process with funding per phase.
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Cross-functional team budgeting.
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Organizational Policies:
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New product development (NPD)流程.
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IP protection.
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Sustainability mandates.
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Customer-Centric Design
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Importance: Ensures market acceptance, reduces redesign costs, builds loyalty.
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Methods for Obtaining Customer Input:
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Surveys, focus groups, interviews.
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Observation/ethnography.
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User testing, beta programs.
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Social media listening.
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Involving Customers:
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Co-creation workshops.
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Lead user innovation.
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Crowdsourcing ideas.
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Competitive Analysis
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Benchmarking Process:
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Identify key competitors.
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Select products/features to compare.
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Measure performance (price, quality, features).
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Analyze gaps.
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Set improvement targets.
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Rival Product Assessment Factors:
- Price, quality, features, reliability, service, brand perception.
Innovation & Policy
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Role in Product Policy: Drives growth, competitive advantage, market leadership. Policy must encourage R&D, tolerate failure.
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Challenges in NPD:
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Market uncertainty.
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Technical risk.
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Resource constraints.
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Time-to-market pressure.
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Characteristics of Successful Development:
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Clear market need.
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Strong cross-functional teams.
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Top management support.
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Iterative prototyping.
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2.0 Design Methodologies
Value Engineering (VE)
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Objectives: Improve value = Function / Cost. Not just cost cutting.
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Principles:
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Function-focused.
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Team approach (multi-disciplinary).
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Creative thinking.
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Systematic evaluation.
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Procedure (Job Plan):
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Information Phase: Gather data on function, cost, constraints.
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Speculation Phase: Brainstorm ways to achieve functions cheaper/better.
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Evaluation Phase: Rank ideas, select promising.
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Development Phase: Detailed analysis, cost estimates.
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Presentation Phase: Recommend to management.
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Example: Redesigning a bracket: Original solid steel → hollow with ribs → 40% weight saving, same strength.
Function Analysis System Technique (FAST)
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Detailed Methodology:
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Basic Function (BF): What the product must do (verb + object). E.g., "transport fluid".
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Secondary Functions (SF): How BF is achieved. E.g., "contain pressure", "minimize leakage".
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Tertiary/Superfluous Functions: Unnecessary or over-designed features.
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Diagram: Logic tree (IF-THEN) linking functions.
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Application in Automotive Systems:
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BF: "Provide transportation".
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SF: "Transfer power", "Support vehicle", "Steer", "Brake".
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Can identify over-engineered components (e.g., excessive material in non-critical brackets).
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Handling Tertiary Functions: Identify and eliminate or reduce cost without affecting BF.
Creative Techniques
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Methods:
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Brainstorming: Free idea generation, no criticism.
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Synectics: Analogies, metaphors.
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Mind Mapping: Visual association.
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SCAMPER: Substitute, Combine, Adapt, Modify, Put to other uses, Eliminate, Reverse.
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TRIZ: Systematic innovation based on patterns.
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Design for X (DFX)
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DFM (Design for Manufacture): Design for easy/cheap manufacturing.
- Minimize parts, standard materials, tolerances, avoid complex shapes.
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DFA (Design for Assembly): Design for easy/quick assembly.
- Minimize parts, symmetrical parts, self-locating, reduce fasteners.
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DFMA Integration: Combine DFM & DFA; often done simultaneously. Tools: Boothroyd-Dewhurst method.
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DFE (Design for Environment): Minimize environmental impact.
- Recyclable materials, reduce energy use, easy disassembly, non-toxic.
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Robust Design:
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Principle: Design products insensitive to variation (noise factors).
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Implementation: Use Taguchi methods: Orthogonal arrays, signal-to-noise ratios.
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Challenges: Requires statistical expertise, more experiments, may increase initial cost.
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3.0 Manufacturing-Driven Design
Process-Specific Guidelines
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Sand Casting:
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Design Rules:
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Avoid sharp corners (use fillets).
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Draft angles (1-3° on vertical surfaces).
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Uniform wall thickness to avoid shrinkage.
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Avoid large flat surfaces (sagging).
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Minimum section thickness: 3-5 mm.
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Die Casting vs Sand Casting:
| Aspect | Die Casting | Sand Casting | |--------|-------------|--------------| | Mold | Metal (steel) | Sand (disposable) | | Pressure | High (700-1400 bar) | Low (gravity) | | Surface Finish | Excellent (1-2 μm) | Rough (25-200 μm) | | Dimensional Accuracy | High | Low | | Wall Thickness | Thin possible (0.5 mm) | Thicker (3+ mm) | | Production Rate | Very high | Low | | Cost | High tooling, low per part | Low tooling, high per part | | Design Consideration | Avoid undercuts, allow for ejector pins | More flexibility, draft angles critical |
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Non-Metallic Products:
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Thermal: Consider CTE, thermal degradation, glass transition.
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UV: Add stabilizers, select UV-resistant polymers.
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Chemical: Select resistant polymers (PTFE, HDPE), avoid swelling.
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Assembly Optimization
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Manual Assembly Guidelines:
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Minimize parts count.
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Symmetrical parts, no orientation required.
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Use snap fits, self-locating features.
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Reduce fasteners (use clips, adhesives).
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Design for gravity-assisted assembly.
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Design for Disassembly:
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Use standard fasteners.
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Avoid permanent joints (adhesives, welding).
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Modular design.
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Mark material types for recycling.
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Quality Considerations
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Injection-Molded Part Quality Factors:
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Wall thickness uniformity.
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Draft angles.
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Gate location/design.
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Cooling time.
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Material drying.
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Mold temperature.
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CAD/DFM Tools:
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Moldflow analysis (flow, cooling, warpage).
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Draft angle checks.
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Thickness analysis.
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Automatic DFM checks in CAD software.
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4.0 Computer Aided Design & Prototyping
CAD Fundamentals
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2D vs 3D Modeling:
| 2D Drafting | 3D Modeling | |-------------|-------------| | Flat views (plan, elevation) | Solid/surface representation | | No volume/volume data | Full geometric data | | Manual projection | Automatic view generation | | Used for drawings only | Used for analysis, RP, manufacturing | | Role in Manufacturing Optimization: 3D models enable CNC programming, simulation, clash detection, RP directly.
Rapid Prototyping (RP)
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Five-Step Process:
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CAD Modeling: Create 3D model.
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Conversion to STL: Model triangulated to STL format.
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Slicing: RP software slices STL into layers.
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Part Construction: RP machine builds layer-by-layer.
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Post-Processing: Remove support, finish surface.
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Classification of Methods:
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Photopolymer (Vat Polymerization): SLA.
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Powder Bed Fusion: SLS, DMLS.
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Material Jetting: PolyJet.
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Material Extrusion: FDM.
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Sheet Lamination: LOM.
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Surface Finish Comparison:
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SLA: Smooth (0.1-0.5 μm), requires post-cure.
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SLS: Rough (50-100 μm), grainy (powder).
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LOM: Stepped (layer lines visible), paper/wood texture.
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Powder Handling in SLS:
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Powder is spread by roller, sintered by laser.
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Un-sintered powder supports overhangs.
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Post-process: Dig out part, bead blasting to remove powder.
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Powder can be recycled (filtered, mixed with fresh).
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Applications in Design Validation:
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Form/fit check.
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Functional testing (limited).
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Pattern for casting.
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Visual aids.
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Data Formats
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STL (Stereolithography):
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Significance: De facto standard for RP. Represents surface as triangular mesh.
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Limitations: No color, no texture, no solid info, faceted.
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Other Formats: OBJ (color/texture), 3MF (modern, includes support/material), STEP (for CAD exchange).
Simulation & Analysis
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Role: Virtual testing of designs (FEA, CFD, motion) before physical prototype.
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Validation for Production Processes:
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Moldflow (injection molding).
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Metal forming simulation.
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Welding distortion.
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Machining (CNC simulation).
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5.0 Sustainability & Ergonomics
Eco-Design Principles (DFE)
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Impact on Design:
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Material selection (recycled, renewable, non-toxic).
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Energy efficiency during use.
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Design for disassembly/recycling.
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Minimize packaging.
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Longevity/durability.
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Sustainable Product Examples:
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Fairphone (modular, repairable).
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Tesla (electric, battery recycling).
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Patagonia (recycled polyester, repair program).
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Eco-Friendly Packaging:
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Minimal material.
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Biodegradable/compostable.
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Reusable containers.
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Right-size packaging.
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Ergonomics
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Integration in Product Design:
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User-centered design process.
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Anthropometric data (percentiles).
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Cognitive load reduction.
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Safety (prevent RSI).
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Human Factors Considerations:
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Physical: Reach, strength, posture.
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Cognitive: Intuitive controls, feedback, error tolerance.
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Sensory: Visibility, audibility, tactile feedback.
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Visual Design Elements & Concepts:
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Color (coding, contrast).
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Typography (readability).
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Layout (grouping, hierarchy).
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Icons (universal understanding).
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Affordance (perceived function).
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6.0 Power Transmission & Fluid Power (Industry Applications)
Power Transmitting Devices
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Industrial Applications Overview:
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Belts/Pulleys: HVAC, conveyors, machine tools.
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Chains/Sprockets: Motorcycles, bicycles, industrial machinery.
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Gears: Automobiles, gearboxes, robotics.
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Couplings: Pumps, compressors, generators.
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Selection Criteria:
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Power/torque.
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Speed ratio.
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Center distance.
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Shock load.
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Environment (temperature, contamination).
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Maintenance requirements.
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Fluid Power Systems
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Hydraulic Press Calculations (Ram/Plunger):
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Principle: Pascal's law: $$\displaystyle p = F/A $$.
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Force Multiplication: $$\displaystyle F_2 = F_1 \times (A_2/A_1) $$.
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Example: Ram diameter 200 mm, plunger 30 mm, load 3 kN.
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$$ A_1 = \pi (0.03)^2/4 = 7.065 \times 10^{-4} \mathrm{m^2}, \quad A_2 = \pi (0.2)^2/4 = 3.142 \times 10^{-2} \mathrm{m^2} $$
$$ F_1 = F_2 \times (A_1/A_2) = 3000 \times (7.065 \times 10^{-4} / 3.142 \times 10^{-2}) = 67.5 \mathrm{~N} $$
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System Design Considerations:
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Pump selection (flow, pressure).
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Actuator sizing.
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Valve selection (directional, pressure, flow control).
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Accumulators (energy storage, shock absorption).
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Filtration.
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Heat dissipation.
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Safety factors.
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[!TIP] Hydraulic press problems are common. Always convert diameters to meters, compute areas, apply $$\displaystyle F_1/A_1 = F_2/A_2 $$.