# Mex 3212

**Topics:**Fluid dynamics, Fundamental physics concepts, Fluid mechanics

**Pages:**2 (426 words)

**Published:**March 15, 2013

Show that the torque T, required is given by the following formula: ������������������ 4 ������ ℎ Hint: Consider a small annulus at a distance r from the center and write down the forces on this area due to fluid shear and then the torque. Integrate from r = 0 to r = R to obtain the total toque. ������ =

Q3 (a) What is meant by center of pressure when a body is immersed in water?

(b) When a rectangular plate is submerged in a fluid, show that magnitude of fluid thrust (F) acting on the plate is given by: F = Area of the plate X Fluid pressure at the centre of gravity of the plate

(c) A rectangular shape gate AB of 2m height and 1m wide is used to close the opening of a water tank as shown in Fig.Q3. The gate is hinged at A.

Fig. Q3 Find (i) (ii) (iii)

Fluid thrust (F) acting on the gate. Distance to point of action of the force F from the water surface Force that should be applied at the lower edge of the gate to prevent it opening.

Q4

(a) Write down Bernoulli’s equation for incompressible fluid flow, and name the variables with their SI units of measurement. (b) A 2kW pump is used to lift water from a reservoir to a location, 20m above it. The total...

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