Answer any one question from Q1 and Q2

1 (a)
State and prove Hydrostatic Law.

6 M

1 (b)
Discuss various types of flows.

6 M

2 (a)
A body with gravity force of 500 N with a flat surface area
of 0.2 m

^{2}slides down a lubricated inclined plane making a 30° angle with the horizontal. For viscosity of 0.1 kg.m/s and body speed of 1 m/s. Determine the lubricant film thickness.
6 M

2 (b)
Prove that streamlines and equipotential lines are orthogonal to each other.

6 M

Answer any one question from Q3 and Q4

3 (a)
Derive an expression for Euler's equation along stream-Line

6 M

3 (b)
Write short notes on:

(i) Hydrodynamically smooth and rough boundaries.

(ii) Velocity profile of Turbulent flow.

(i) Hydrodynamically smooth and rough boundaries.

(ii) Velocity profile of Turbulent flow.

6 M

4 (a)
What is Pitot tube? Derive expression for velocity. Draw with all labels Pitot static tube.

6 M

4 (b)
Derive expression for velocity distribution for flow in fixed parallel plates.

6 M

Answer any one question from Q5 and Q6

5 (a)
Derive an expression for Darcy-Weisbach equation.

6 M

5 (b)
Discharge Q of a centrifugal pump can be assumed to be dependent on density of liquid ρ, viscosity of liquid μ, pressure p, impeller diameter D, and speed N in RPM. Using Buckingham theorem, show that : \[ Q=ND^3 \phi \left [ \dfrac{gH}{N^2D^2}, \dfrac {v}{ND^2} \right ] \]

7 M

6 (a)
What are repeating variables? What points are important while selecting repeating variables?

6 M

6 (b)
A siphon of dia. 200 mm connects two reservoirs having a
a difference of elevation of 20 m. The total length of siphon
is 800m and the summit is 5 m above the water level in
the upper reservoir. If separation takes place at 30 kPa (absolute). Find maximum length of siphon from upper reservoir to summit. Take friction factor = 0.016, P atm. = 10.3 m of water.

7 M

Answer any one question from Q7 and Q8

7 (a)
Derive an expression for displacement, momentum and energy thicknesses.

9 M

7 (b)
A car of frontal area 1.4 m

^{2}travels in still air with speed 72 kmph. If drag coefficient is 0.350, calculate power required to drive the car at this speed. Density of air is 1.2 kg/m^{3}.
4 M

8 (a)
Discuss boundary layer development over flat plate.

7 M

8 (b)
Write a short note on 'Flow around cylinder and aerofoil'.

6 M

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