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b. A manometer is used to measure the pressure in a tank. The fluid used has
a specific gravity of 0.80 and the manometer column height is 50 cm. If
the local atmospheric pressure is 98 kPa, determine the absolute pressure
within the tank.

Module 2
The velocity potential function is given by p= 102-72. Calculate the velocity

components at the point (4,5).

The velocity components in a steady two-dimensional incompressible flow are
given by u = 6x and v = -6y. Prove that the flow satisfies law of conservation
of mass.

Module 3
a. Air enters a nozzle steadily at 2.21 kg/m? and 30 m/s and leaves at

0.762 kg/m? and 180 m/s. If the inlet area of the nozzle is 80 cm’,
determine (a) the mass flow rate through the nozzle (b) exit area
of the nozzle.

ந. Al m rigid tank initially contains air whose density is 1.18 kg/m’.
The tank is connected to a high pressure supply line through a valve. The
valve is opened and air is allowed to enter the tank until the density in the
tank rises to 7.20 kg/m*. Determine the mass of air that has entered the
tank.

a. Consider a device with one inlet and one outlet. If the volume flow rates
at the inlet and at the outlet are the same, is the flow through this device
necessarily steady? Why?

b. A pressurized tank of water has a 10 cm diameter orifice at the bottom
where water discharges to the atmosphere. The water level is 3 m above
the outlet. The tank air pressure above the water level is 300 kPa
(absolute) while the atmospheric pressure is 100 kPa. Neglecting
frictional effects, determine the initial discharge rate of water from the
tank.

Module 4
a. Consider the flow of air and water in pipes of same diameter at the same

temperature and at the same mean velocity. Which flow is more likely to
be turbulent? Why?
b. Consider fully developed laminar flow in a circular pipe. If the diameter

of the pipe is reduced by half while the flow rate and the pipe length are

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