JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech II MECHANICS OF FLUIDS Previous Question Paper (April - 2018 - R13)

State Pascal’s law.

Define Archimedes’s principle. Give an example.

Differentiate between stream line and streak line.

What is vorticity?

State Bernoulli’s equation.

State momentum equation.

What is Pressure drag?

Define the term boundary layer thickness.

What is Moody’s chart?

State Darcy’s equation.

What is Surface tension and capillary effect? How are they affected?

The absolute pressure in water at a depth of 5 m is read to be 145 kPa. Determine (i) the local atmospheric pressure, and (ii) The absolute pressure at a depth of 5 m in a liquid whose specific gravity is 0.78 at the same location.

Differentiate between U-tube differential manometers and inverted U-tube differential manometers. Where are they used?

Calculate the pressure and density of air at a height of 4000 m from sea-level where pressure and temperature of air are 10.143 N/cm² and 15ºC respectively. The temperature lapse rate is given as 0.0065ºC/m. Take density of air at sea-level equal to 1.285 kg/m³.

Define the following and give one practical example for each: (i) Unsteady flow (ii) Uniform flow (iii) Turbulent flow (iv) Three dimensional flow.

Derive equation of continuity for one dimensional flow for an incompressible flow.

Derive equation of continuity for a compressible flow and show that it tends to divergence of velocity equal to zero for incompressible fluids. State clearly the assumptions made.

For the velocity potential function, φ = x² – y², find the velocity components in x and y direction. Also show that φ represents a possible case of fluid flow.

Derive the Euler’s equation and from this obtain the Bernoulli’s equation for the incompressible flow.

Define Reynolds’s number and Froude’s number. Derive the expressions for the two numbers.

What is meant by geometric, kinematic and dynamic similarities? Are these similarities truly attainable? If not why?

How will you determine total drag of a ship or partially submerged ship?

Explain the development of boundary layer along a flat plate held parallel to uniform flow. Point out salient features.

Write a brief note on Prandtl’s boundary layer theory.

How does the ratio of displacement thickness to boundary layer thickness (δ*/δ) for a laminar boundary layer compare with that for a turbulent boundary layer? Determine a qualitative answer from inspection of the velocity profiles within the boundary layers.

What are the different methods to prevent the separation of boundary layer? Explain.

Discuss various minor losses involved in a pipe flow system.

How will you determine the loss of head due to friction in pipes by using Darcy’s formula?

Differentiate between major and minor losses. Why the minor losses in a parallel pipes flow are neglected.

Differentiate between flow between parallel plates and flow through long tubes.