Fluid Mechanics-I (CE-501) - Important Questions

What is a manometer? What are the different types of manometers? Explain with neat sketches the working of simple and differential manometers.

Define surface tension and derive the excess pressure inside a liquid droplet, soap bubble and liquid jet. Prove that for a droplet p = 4c3/d.

If the velocity potential is c6 = 3xy, find the x and y components of velocity at (1,3) and (3,3). Determine the discharge passing between the streamlines passing through these points.

What is a flow net? Explain its utility and briefly discuss any one method of drawing a flow net.

Derive Euler's equation of motion along a streamline and hence obtain Bernoulli's equation for steady incompressible flow. State the assumptions made.

A venturimeter is used to measure liquid flow rate of 7500 litres per minute. The difference in pressure across the venturimeter is equivalent to 8 m of the flowing liquid. The pipe diameter is 19 cm. Calculate the throat diameter of the venturimeter.

Derive the Hagen-Poiseuille equation and expression for mean velocity for steady laminar flow through a circular pipe.

Compare venturimeter vs orifice meter and flow nozzle as primary flow-measurement elements for discharge measurement.

Derive the Darcy-Weisbach equation for loss of head due to friction in pipe flow.

Determine the total pressure and centre of pressure on an isosceles triangular plate of base 4 m and altitude 4 m when it is immersed vertically in an oil of specific gravity 0.9. The base of the plate coincides with the free surface.

What is meant by stability of a floating body? Explain the stability of a floating body with reference to its metacentric height and differentiate stable, unstable and neutral equilibrium.

State Newton's law of viscosity, define viscosity and kinematic viscosity, explain its importance and variation with temperature for liquids and gases.

Explain with a neat sketch the working of a Pitot / pitot-static tube for measuring velocity of flow at a point in a pipe or channel.

The pressure difference 94P in a pipe of diameter D and length L due to turbulent flow depends on velocity V, viscosity bc, density c1 and wall roughness k. Using Buckingham's pi theorem, obtain a dimensionless expression for 94P.