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CE-702 (B) · Environmental Engg‑II/Quick Revision Short Notes

Environmental Engg‑II (CE-702 (B)) - Unit 2 Short Notes

UNIT 2: WASTEWATER TREATMENT PROCESSES & UNIT OPERATIONS

A. Preliminary & Primary Treatment

1. Screening & Racks

  • Purpose: Remove large floating and suspended solids (rags, sticks, debris) to protect pumps and downstream equipment.

  • Types:

    • Coarse screens: Bar spacing 50-150 mm.

    • Fine screens: Bar spacing 6-50 mm.

    • Micro-screens: Bar spacing < 6 mm (used for tertiary treatment).

  • Design Considerations:

    • Approach velocity: 0.6-1.0 m/s (coarse), 0.6-1.5 m/s (fine) to prevent debris settling or forcing through.

    • Bar spacing: Selected based on downstream process requirements.

    • Screen opening area: Should be 1.5-2 times the gross area of the channel to allow for peak flows.

  • Head Loss Through Bar Screens:

$$h_f = \frac{1}{2} \beta \left( \frac{b}{s} \right)^{4/3} \frac{V^2}{2g} \sin^2 \theta$$

Where:

*   $$\displaystyle h_f $$ = head loss (m)

*   $\beta$ = shape factor (0.7-1.0, depends on bar profile)

*   $b$ = bar thickness (m)

*   $s$ = clear spacing between bars (m)

*   $V$ = velocity of flow through screen openings (m/s)

*   $\theta$ = angle of inclination from horizontal (°)

> [!TIP] Head loss increases rapidly with reduced bar spacing ($s$). Regular cleaning is critical to avoid excessive losses.

2. Grit Removal

  • Purpose: Remove sand, gravel, cinders, and other inorganic particles (specific gravity ~2.65) to prevent abrasion, deposition in pipes, and accumulation in digesters.

  • Types of Grit Chambers:

    • Horizontal flow: Simple, rectangular; velocity controlled by weir or orifice.

    • Aerated: Creates a spiral flow; separates lighter organic solids from heavier grit.

    • Vortex (mechanical/hydraulic): High efficiency, compact.

  • Design of Rectangular Grit Chamber:

    • Settling velocity ($$\displaystyle V_s $$): Determined by particle size and specific gravity using Stokes' law (for laminar flow, Re<1).

    • Flow velocity ($V$): Set to keep grit in suspension but allow settling. Typically 0.15-0.3 m/s.

    • Detention time ($t$): 60-90 seconds for horizontal flow chambers.

    • Channel dimensions: Based on $$\displaystyle Q = A \times V $$, where $$\displaystyle A = B \times D $$ (width × depth). Length $$\displaystyle L = V \times t $$.

    [!TIP] Grit characteristics vary; design $$\displaystyle V_s $$ range (e.g., 0.016-0.022 m/s) is often provided, not a single value.

3. Primary Sedimentation (Primary Clarifiers)

  • Purpose: Remove settleable organic and inorganic solids (primary sludge) and floating material (scum). Reduces load on secondary treatment.

  • Removal Efficiencies: ~50-70% Suspended Solids (SS), ~25-40% BOD.

  • Design of Rectangular Tank:

    • Detention period ($t$): 1.5-2.5 hours (for plain settling).

    • Overflow rate ($O.R.$): $$\displaystyle O.R. = \frac{Q}{A_l} $$ (m³/m²-day). Typical: 30-50 m³/m²-day.

    • Weir loading rate: $$\displaystyle Q / L_w $$ (m³/m-day). Typical < 125 m³/m-day to prevent short-circuiting.

    • Dimensions: Length:Width ratio = 3:1 to 5:1. Depth: 2-5 m.

  • Types of Settling:

    • Discrete: Particles settle as individual units (e.g., sand in grit chamber). Settling velocity constant.

    • Flocculent: Particles agglomerate during settling, increasing $$\displaystyle V_s $$ (e.g., primary sedimentation).

    • Hindered/Zone: High concentration, particles settle as a mass (interface). Occurs in secondary clarifiers.

    • Compression: Particles in sludge layer compress under weight (sludge thickening).

  • Septic Tank vs. Imhoff Tank:

Feature Septic Tank Imhoff Tank
Scope Single unit, combined sedimentation & anaerobic digestion. Two-story unit: upper sedimentation, lower digestion.
Function Raw sewage enters; settled solids digested anaerobically in same chamber. Sewage enters upper chamber; settled sludge falls through slots to lower chamber for digestion.
Performance Poor solids digestion, frequent desludging needed, odour issues. Better solids digestion, less frequent desludging, odour controlled in lower chamber.
Design Simple, single compartment. Complex, with inclined slots between chambers.

B. Secondary (Biological) Treatment

1. Activated Sludge Process (ASP)

  • Principle: Aerobic microorganisms (activated sludge) consume organic matter. Mixture is settled; sludge is recycled.

  • Components: Aeration tank, secondary clarifier, sludge recycle system.

  • Flow Diagram (Configurations):

    • Plug Flow: Longitudinal flow, concentration gradient.

    • Complete Mix: Uniform concentration (stirred tank).

    [!DIAGRAM]

    DiagramCANVAS: Sketch showing flow diagram of ASP with aeration tank, clarifier, sludge recycle, and waste sludge lines. Label components. Show plug flow (long rectangular tank) and complete mix (circular/ square tank) configurations.

  • Key Parameters:

    • F/M Ratio (Food to Microorganism): $$\displaystyle F/M = \frac{Q \times L_0}{V \times X} $$ (kg BOD/kg MLSS-day). Controls process stability.

    • SVI (Sludge Volume Index): $$\displaystyle SVI = \frac{Settled \ Sludge \ Volume \ (mL/L)}{MLSS \ (g/L)} $$ (mL/g). Indicates sludge settleability. Ideal: 50-150.

    • MLSS (Mixed Liquor Suspended Solids): Concentration of solids in aeration tank (mg/L).

    • MCRT (Mean Cell Residence Time): $$\displaystyle MCRT = \frac{V \times X}{(Q_w \times X_w) + (Q_e \times X_e)} $$ (days). Equivalent to SRT.

  • Oxygen Requirements:

$$O_2 \ required = (BOD_5 \ removed \times 1.47) + (Nitrifed \ NH_3-N \times 4.57) + (Endogenous \ Respiration)$$

*   Actual air needed = $$\displaystyle O_2 $$ required / (Oxygen transfer efficiency × 0.21 × density of air).

2. Trickling Filters

  • Principle: Wastewater distributed over a packed bed (rocks, plastic media). Microbial film (zoogleal slime) oxidizes organic matter.

  • Types (by Organic Loading):

    • Standard rate: 0.08-0.32 kg BOD/m³-day.

    • High rate: 0.32-1.0 kg BOD/m³-day.

    • Super high rate: > 1.0 kg BOD/m³-day.

  • Design Calculations:

    • Surface loading rate ($$\displaystyle q_s $$): $$\displaystyle q_s = \frac{Q}{A} $$ (L/m²-day or m³/m²-day).

    • Organic loading ($$\displaystyle L_o $$): $$\displaystyle L_o = \frac{Q \times L_0}{V} $$ (g BOD/m³-day).

    • Depth ($D$): 0.6-2.0 m (standard), up to 10 m (deep tower filters).

    • Volume ($V$): $$\displaystyle V = A \times D $$.

    • Diameter ($$\displaystyle D_f $$): $$\displaystyle A = \frac{\pi D_f^2}{4} $$.

  • NRC Formula for Efficiency:

$$E = \frac{100}{1 + 0.0088 \sqrt[3]{L_o}}$$

Where $E$ = % BOD removal, $$\displaystyle L_o $$ = organic loading (kg/ha-day). **Use consistent units.**

> [!TIP] NRC formula is empirical; ensure units match (kg/ha-day). For $$\displaystyle L_o $$ in g/m²-day, use $$\displaystyle E = \frac{100}{1 + 0.44 \sqrt[3]{L_o}} $$ (approx).

3. Oxidation Ditches

  • Principle: Modified ASP with oval-shaped channel and surface aeration rotors. Operates in extended aeration mode (high SRT).

  • Working (with sketch):

    DiagramCANVAS: Neat sketch of oxidation ditch. Show oval channel, multiple rotor/aerator units positioned along the channel, flow direction arrows, influent and effluent points, and return sludge line.

  • Configurations:

    • Carousel: Single oval channel with multiple rotors.

    • Pasveer: Deep, narrow channel with single long rotor.

    • Biodisc: Rotating disc contactors (less common).

  • Advantages: Simplicity, robustness, good nitrification/denitrification potential, less sludge production.

4. Biological Treatment Fundamentals

  • Importance of Micro-organisms:

    • Bacteria: Form flocs; primary degraders (heterotrophs for BOD, autotrophs for nitrification).

    • Protozoa: Consume free bacteria, improve effluent clarity.

    • Metazoa (rotifers, worms): Consume floc particles, indicate healthy sludge.

  • Kinetics (Monod):

$$r = \frac{k_{max} \cdot S}{K_s + S}$$

Where $r$ = substrate utilization rate, $S$ = substrate concentration, $$\displaystyle k_{max} $$ = max rate, $$\displaystyle K_s $$ = half-velocity constant.

C. Advanced & Tertiary Treatment

1. Nutrient Removal (Nitrogen & Phosphorus)

  • Need for Nitrogen Removal: To prevent eutrophication (algal blooms) in receiving water bodies.

  • Biological Nitrification-Denitrification:

    • Nitrification (Aerobic): $$\displaystyle NH_4^+ + 2O_2 \rightarrow NO_3^- + H_2O + 2H^+ $$ (by Nitrosomonas, Nitrobacter).

    • Denitrification (Anoxic): $$\displaystyle NO_3^- \rightarrow N_2 $$ (by heterotrophs using organic carbon as electron donor).

    • Process: Requires separate anoxic zone (no DO, NO3 present) followed by oxic zone (DO > 2 mg/L). Carbon source needed for denitrification (may require methanol addition if influent C/N low).

  • Other Methods:

    • Ammonia stripping: Raise pH > 10, air stripping.

    • Breakpoint chlorination: Chlorine dose > Cl:NH3 ratio 7.6:1.

    • Ion exchange: Selective resin.

2. Advanced Wastewater Treatment (AWT)

  • Definition & Difference: Treatment beyond conventional secondary to meet specific reuse/discharge standards (e.g., potable reuse, sensitive ecosystems). Conventional: BOD/SS removal. AWT: Targeted removal of nutrients, dissolved solids, pathogens, emerging contaminants.

  • Important AWT Processes (Tabular):

Process Principle Typical Application
Chemical Precipitation Add coagulants (alum, ferric chloride) to remove P, heavy metals. Phosphorus removal.
Sand Filtration Physical straining through granular media. Polishing, SS removal.
Diatomaceous Earth Filter Depth filtration with fine porous media. Very fine SS, algae removal.
Ultrafiltration (UF) Membrane separation (0.01-0.1 µm). Remove colloids, bacteria, viruses.
Reverse Osmosis (RO) Membrane separation (< 0.001 µm) under pressure. Dissolved salts, ions, small organics.
Adsorption (GAC) Surface adherence to activated carbon. Organics, taste/odor, micropollutants.
Disinfection Kill/inactivate pathogens. Final barrier for reuse.
  • Ultrafiltration (Detailed):

    • Principle: Pressure-driven membrane process. Pore size 0.01-0.1 µm removes macromolecules, colloids, bacteria, some viruses.

    • Membrane: Polymeric (PSF, PES) or ceramic. Modules: hollow fiber, spiral wound, tubular.

    • Applications: Tertiary treatment, pretreatment to RO, water reuse.

    • Advantages: High removal efficiency, compact, no chemicals (for separation), consistent effluent quality.

    • Disadvantages: Membrane fouling, high capital/operational cost, concentrate disposal.

3. Disinfection

  • Methods:

    • Chlorination: Most common. Forms hypochlorous acid (HOCl). CT concept: $C \times T$ (concentration × contact time) determines kill rate.

    • Chlorination-Dechlorination: Chlorine followed by sulfur dioxide or bisulfite to remove residual chlorine toxic to aquatic life.

    • UV Radiation: Damages microbial DNA. No residual, no chemical by-products.

    • Ozone: Strong oxidant. Very effective, but no residual, high cost.

  • Chlorine Demand: Amount of chlorine consumed by reactions with organics/inorganics before free chlorine residual appears.


UNIT 2: AIR POLLUTION CONTROL & FUNDAMENTALS

A. Air Pollutants & Sources

1. Sources & Characteristics of Specific Pollutants

  • Sulphur Dioxide (SO₂):

    • Sources: Fossil fuel combustion (power plants, industries), smelting of sulfide ores.

    • Characteristics: Colorless, pungent odor, soluble in water → forms sulfurous/sulfuric acid (acid rain).

  • Hydrogen Sulphide (H₂S):

    • Sources: Sewage treatment plants, petroleum refining, natural gas processing, anaerobic decomposition.

    • Characteristics: Colorless, rotten egg odor (detectable at very low ppm), toxic, flammable.

2. Major Air Pollutants (Criteria Pollutants) - Tabular

Pollutant Primary Sources Key Characteristics & Health Effects
PM₁₀ / PM₂.₅ Combustion, construction, agriculture. Penetrate respiratory system. PM₂.₅ reaches alveoli → cardiopulmonary disease.
SO₂ Coal/oil combustion. Respiratory irritant, contributes to acid rain & PM formation.
NOₓ (NO, NO₂) High-temperature combustion. Respiratory problems, ozone formation, acid rain, nitrate aerosols.
CO Incomplete combustion. Binds to hemoglobin → reduces oxygen transport (asphyxiation).
O₃ (Ground-level) Secondary, from NOₓ + VOCs + sunlight. Strong oxidant → lung damage, crop damage.
Pb Leaded gasoline (historical), smelters, batteries. Neurotoxic, affects children's development.

3. Aerosols

  • Definition: System of solid or liquid particles suspended in a gas (air). Size range: 0.001 µm to 100 µm.

  • Types & Characteristics:

Type Formation Typical Size Example
Dust Mechanical disintegration. > 1 µm Soil, pollen.
Fume Condensation of vapor. < 0.1 µm Metal fumes.
Mist Atomization of liquid. 0.5 - 50 µm Spray, fog.
Smoke Incomplete combustion. 0.01 - 1 µm Soot, fly ash.
Fog Water droplet mist. 1 - 20 µm Natural fog.
Smog Photochemical: NOₓ + VOCs + sunlight. Winter (London): SO₂ + particulates + fog. Varies Los Angeles (photochemical), London (sulfurous).

B. Meteorology & Dispersion

1. Meteorological Factors Influencing Dispersion

  • Wind Speed & Direction: Primary driver of horizontal transport. Higher speed → greater dilution.

  • Temperature: Affects buoyancy of plume and stability.

  • Atmospheric Stability: Determines vertical mixing. Classes: A (very unstable) to F (very stable). Stable → poor dispersion.

  • Mixing Height: Height of the mixed layer (top of plume can rise). Higher mixing height → greater volume for dilution.

  • Humidity & Precipitation: Can cause plume scavenging (rainout, washout).

2. Temperature Lapse Rate

  • Environmental Lapse Rate (ELR): Actual vertical temperature profile in atmosphere. Varies with time/location.

  • Adiabatic Lapse Rate (ALR): Temperature change of a parcel of air moving vertically without heat exchange.

    • Dry ALR ($$\displaystyle \Gamma_d $$): ~9.8°C/km (for unsaturated air).

    • Moist ALR ($$\displaystyle \Gamma_m $$): ~4-9°C/km (for saturated air; latent heat release reduces cooling).

  • Stability: If ELR < ALR → atmosphere is stable (inversion possible). If ELR > ALR → unstable.

3. Gaussian Plume Model

  • Equation (for continuous point source, steady state, flat terrain):

$$C(x,y,z) = \frac{Q}{2\pi \sigma_y \sigma_z U} \exp\left(-\frac{y^2}{2\sigma_y^2}\right) \left[ \exp\left(-\frac{(z-H)^2}{2\sigma_z^2}\right) + \exp\left(-\frac{(z+H)^2}{2\sigma_z^2}\right) \right]$$

Where:

*   $C$ = concentration (g/m³)

*   $Q$ = emission rate (g/s)

*   $$\displaystyle \sigma_y, \sigma_z $$ = horizontal & vertical dispersion coefficients (m) – depend on downwind distance $x$ and stability class.

*   $U$ = wind speed at effective stack height (m/s)

*   $H$ = effective stack height = physical height + plume rise (m)

*   $z$ = receptor height (m)
  • Location of Max Pollution: On plume centerline ($$\displaystyle y=0 $$, $$\displaystyle z=0 $$ ground level), but maximum ground-level concentration occurs at some downwind distance.

  • Assumptions: Steady state, constant wind, no deposition/chemical reaction, flat terrain, point source.

  • Parameters: $$\displaystyle \sigma_y, \sigma_z $$ from Pasquill-Gifford curves/tables based on $x$ and stability class (A-F).

C. Air Pollution from Specific Sources & Control

1. Power Plant Emissions Estimation (Coal-Fired)

  • Given: Plant capacity (MW), efficiency ($\eta$), coal properties (CV, ash%, S%), recovery factors.

  • Steps:

    1. Coal consumption rate: $$\displaystyle \dot{m}_c = \frac{Plant \ Output \ (MW) \times 3.6 \times 10^6 \ MJ/MW-h}{\eta \times CV \ (MJ/kg)} $$ (kg/h or kg/day).

    2. Fly ash & Bottom ash: Total ash = $$\displaystyle \dot{m}_c \times Ash\% $$. Fly ash = Total ash × % discharged as flyash (often 60-80%). Bottom ash = Total ash - Fly ash.

    3. Particulate Matter (PM): Similar to ash calculation, but use PM% in coal or ESP efficiency.

    4. SO₂: $$\displaystyle \dot{m}_{SO_2} = 2 \times \dot{m}_c \times S\% \times \frac{32}{32} $$ (since 1 kg S → 2 kg SO₂). Or $$\displaystyle \dot{m}_{SO_2} = \dot{m}_c \times S\% \times 2 $$.

  • Eco-friendly Ash Utilization:

    • Cement & concrete (partial replacement for cement/clinker).

    • Fly ash bricks/blocks.

    • Structural fills/embankments.

    • Mine reclamation (filling).

    • Agriculture (soil amendment – caution for heavy metals).

2. Control Equipment (Brief)

  • Cyclones: Inertial separation of coarse particles (>10 µm).

  • Electrostatic Precipitator (ESP): Charges particles, collects on plates. High efficiency for fine particles.

  • Baghouses/Fabric Filters: Fabric bags filter particles. Very high efficiency.

  • Scrubbers: Wet/dry spray to remove gases (SO₂) and particles.

D. Effects & Miscellaneous

1. Smog

  • Photochemical Smog:

    • Formation: NO₂ + sunlight → NO + O; O + O₂ → O₃; O₃ + VOCs → peroxyacetyl nitrate (PAN), aldehydes.

    • Characteristics: Brownish haze, eye irritation, plant damage, rubber cracking. Occurrence: Sunny, warm, stagnant conditions (Los Angeles type).

  • Industrial (London-type) Smog:

    • Formation: SO₂ + particulates + fog → sulfuric acid mist.

    • Characteristics: Grayish, sulfurous odor, severe respiratory distress. Occurrence: Cold, damp, coal burning (winter).

2. Particulate Matter

  • TSPM (Total Suspended Particulate Matter): All particles up to ~50-100 µm. Includes coarse and fine fractions.

  • RSPM (Respirable Suspended Particulate Matter) / PM₁₀: Particles ≤ 10 µm aerodynamic diameter. Penetrate to thoracic region.

  • PM₂.₅: Fine particles ≤ 2.5 µm. Penetrate to alveoli, enter bloodstream.

  • Health Impact: RSPM/PM₂.₅ are more harmful than larger TSPM due to deeper lung penetration. Standards (e.g., NAAQS in India) specify limits for PM₁₀ and PM₂.₅.


UNIT 2: SHORT NOTE TOPICS (Frequently Recurring)

From Wastewater Treatment:

  • Diatomaceous Earth Filter: Depth filter using fossilized diatomaceous earth (porous, fine). Used for tertiary polishing to remove very fine colloids, algae, and bacteria. Requires pre-coating and body feed. High effluent quality but high operating cost.

  • Ammonia Stripping: Air stripping of ammonia from wastewater. Requires high pH (>10.5) to convert NH₄⁺ to NH₃ gas. Air is blown through packed tower. Limitations: scaling, air pollution (NH₃), sensitivity to temperature.

  • Oxidation Ditch Configurations: See Section B.1.3 above. Emphasize Carousel (multiple rotors, oval), Pasveer (deep, single rotor), and operation as extended aeration ASP.

  • Septic Tank vs. Imhoff Tank: See comparison table in Section A.3.

From Air Pollution:

  • Photochemical Smog: See Section D.1. Focus on photochemical reactions (NOx, VOCs, sunlight), key pollutants (O₃, PAN), and LA-type conditions.

  • Temperature Lapse Rate: See Section B.2. Distinguish ELR (observed) vs. ALR (theoretical, dry/moist). Link to stability.

  • Gaussian Plume Model: See Section B.3. Write equation, define all terms ($$\displaystyle \sigma_y, \sigma_z, H, U $$), state assumptions, and mention use of Pasquill stability classes.

  • Adsorption by Activated Carbon:

    • Principle: Physical/chemical adherence of molecules to porous carbon surface.

    • Isotherms: Freundlich, Langmuir (describe equilibrium).

    • Use: Air (VOCs, odour control) and water (organics, taste/odor). Regeneration by steam/heat.

  • Factors Affecting Dispersion: Wind speed/direction, atmospheric stability (lapse rate), mixing height, topography (valleys trap pollution), humidity/precipitation.

  • Primary vs. Secondary Pollutants:

    • Primary: Emitted directly from source (e.g., SO₂, CO, PM, NO).

    • Secondary: Formed in atmosphere via chemical reactions (e.g., O₃, H₂SO₄ mist, PAN, sulfate/nitrate PM).

  • Effect of Air Pollution on Materials:

    • Corrosion: SO₂, acid deposition on metals.

    • Soot/Deposition: On buildings, monuments (soiling).

    • Degradation: Ozone cracks rubber, fades dyes; acid rain erodes stone (limestone, marble).


UNIT 2: DESIGN & NUMERICAL PROBLEMS (High Weightage)

A. Wastewater Treatment Design

1. Rectangular Sedimentation Tank Design

  • Given: Flow $Q$ (m³/d or L/s), detention time $t$ (hrs), overflow rate $O.R.$ (m³/m²-d), weir loading.

  • Steps:

    1. Volume $$\displaystyle V = Q \times t $$ (use consistent time units).

    2. Surface area $$\displaystyle A_l = Q / O.R. $$ (ensure $Q$ in m³/d if $O.R.$ in m³/m²-d).

    3. From $$\displaystyle A_l = L \times B $$, choose $L:B$ ratio (3:1 to 5:1). Calculate $L$ and $B$.

    4. Depth $$\displaystyle D = V / A_l $$.

    5. Check weir loading: $$\displaystyle Q / L_w $$ (where $$\displaystyle L_w $$ = total weir length ≈ 0.8L to 0.9L). Should be < 125 m³/m-d.

2. Grit Chamber Design (Rectangular)

  • Given: $Q$, particle size $d$, specific gravity $SG$, settling velocity range $$\displaystyle V_s $$ (min, max), flow velocity $V$ (set).

  • Steps:

    1. Channel cross-sectional area $$\displaystyle A_c = Q / V $$ (ensure $Q$ in m³/s, $V$ in m/s → $$\displaystyle A_c $$ in m²).

    2. Choose depth $D$ (typically 0.5-1.0 m). Then width $$\displaystyle B = A_c / D $$.

    3. Length $$\displaystyle L = V \times t $$, where $t$ = detention time (60-90 s). Or ensure $$\displaystyle L > 10 \times $$ channel width for good distribution.

    4. Check: $$\displaystyle V_s $$ (min) < $V$ < $$\displaystyle V_s $$ (max) to ensure grit settles but organics don't.

3. Trickling Filter Design

  • Given: $Q$, BOD of influent $$\displaystyle L_0 $$ (mg/L), surface loading $$\displaystyle q_s $$ (L/m²-d or m³/m²-d), organic loading $$\displaystyle L_o $$ (g BOD/m³-d or kg/ha-d), depth $D$.

  • Steps:

    1. Surface area: $$\displaystyle A = Q / q_s $$ (consistent units).

    2. Volume: $$\displaystyle V = A \times D $$.

    3. Organic loading check: $$\displaystyle L_o = \frac{Q \times L_0}{V} $$ (ensure units match given $$\displaystyle L_o $$).

    4. Diameter: $$\displaystyle A = \pi D_f^2 / 4 $$ → $$\displaystyle D_f = \sqrt{4A/\pi} $$.

    5. Efficiency (NRC): Use formula with $$\displaystyle L_o $$ in kg/ha-day or g/m²-day (convert carefully).

4. Alum Dosing Calculation

  • Given: Dose $D$ (mg/L), flow $Q$ (MLD or L/s).

  • Calculation: Mass per day = $D \times Q$.

    • If $D$ in mg/L, $Q$ in MLD (million L/day): Mass (kg/day) = $D \times Q$.

    • Example: $$\displaystyle D=28.6 $$ mg/L, $$\displaystyle Q=18 $$ MLD → Mass = 28.6 × 18 = 514.8 kg/day.

B. Air Pollution Calculation

1. Power Plant Emission Estimation

  • Given: Capacity $P$ (MW), efficiency $\eta$, coal CV (MJ/kg), ash% $A\%$, S% $S\%$, % fly ash of total ash, recovery % for ash.

  • Steps:

    1. Coal consumption: $$\displaystyle \dot{m}_c = \frac{P \times 3.6 \times 10^6}{\eta \times CV} $$ (kg/h or kg/s). (Since 1 MW = 1 MJ/s, 1 MW-h = 3600 MJ).

    2. Total ash: $$\displaystyle \dot{m}_{ash,total} = \dot{m}_c \times A\% $$.

    3. Fly ash generated: $$\displaystyle \dot{m}_{FA,gen} = \dot{m}_{ash,total} \times (\% \text{ as fly ash}) $$.

    4. Fly ash recovered: $$\displaystyle \dot{m}_{FA,rec} = \dot{m}_{FA,gen} \times \text{recovery}\% $$.

    5. Bottom ash generated: $$\displaystyle \dot{m}_{BA,gen} = \dot{m}_{ash,total} - \dot{m}_{FA,gen} $$.

    6. Bottom ash recovered: $$\displaystyle \dot{m}_{BA,rec} = \dot{m}_{BA,gen} \times \text{recovery}\% $$.

    7. SO₂ emission: $$\displaystyle \dot{m}_{SO_2} = 2 \times \dot{m}_c \times S\% $$ (assuming 100% conversion of S to SO₂). If given recovery efficiency for SO₂ (e.g., FGD efficiency), subtract accordingly.

2. Gaussian Plume Application

  • Typical Question: Identify parameters, find max concentration location, or calculate concentration given all parameters and $$\displaystyle \sigma_y, \sigma_z $$ from tables.

  • Key: Max ground-level concentration on centerline ($$\displaystyle y=0, z=0 $$) occurs at $$\displaystyle x_{max} \approx H / \sigma_z \times \text{some factor} $$. Usually given or asked conceptually.

  • Calculation: Plug values into Gaussian equation. Ensure $U$ is at effective stack height $H$.

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