Test: Fluid Mechanics- 1 - Civil Engineering (CE) MCQ

If flow velocity in x and y directions are given by u = 2x + 3y and v = –2y. The circulation around the circle of radius 2 units will be

For a two dimensional flow,Find the discharge passing between stream line passing through the points (1, 3) and (3, 3)

Through a very narrow gap of height ‘h’ a thin plate of large extent is pulled at a velocity ‘v’. On upper side of the plate is oil is viscosity u₁ and the other side of oil of viscosity u₂ . At what distance from the lower surface the plate should be placed so that pull required to drag the plate is minimum

The compartment B and C shown in the figure below are closed and filled with air the barometer reads 99.572 kN/m². When the gauges A and D reads as indicated what should be the value of x for gauge E. (mercury is the monometric liquid in each U tube gauge)

A cylinder 2.4 m diameter weights 2 kN and rests on the bottom of tank which is 1 m long. As shown in figure, water and oil are poured in to the left and right hand portions of the tank to depths 0.6 m and 1.2 m respectively. The magnitude of horizontal and vertical components of force which will keep the cylinder touching the tank at B will be respectively.

Consider the following

The components of velocity u and v along X and Y directions in a 2D flow problem of an incompressible fluid are

1. u = x² cos y; v = – 2x sin y
2. u = x + 2; v = 1 – y
3. u = xyt; v = x³ – y²t/2
4. u = ln x + y; v = xy – y/x

Which of these will satisfy the continuity equation?

A venturimeter has its axis vertical, the inlet and throat diameter being 150 mm and 75 mm respectively. The throat is 225 mm above inlet. Petrol of specific gravity 0.78 flows up at a rate of 0.029 m³/s. The pressure difference between the inlet and throat will be (c_d = 0.96 for venturimeter)

Water flows from a 300 mm pipe. Two pitot tubes are installed in the pipe. One on the centre line and other 75 mm from the centre line. If velocities at the two points are 3m/s and 2m/s respectively calculate the reading on the differential manometer connected to the two tubes

A pipe ABC connecting two reservoirs is 80 mm in diameter from A to B the pipe is horizontal as shown in the figure and from B to C if falls by 3.5 meters the length AB and BC are 25 m and 15 m respectively. If the water in the presence at A is 4m above the centre line of pipe and at C 1 m above the centre line of pipe. Neglect the loss at bend but consider all other losses. Take f = 0.024

Q. 

Find the quantity of flow?

A pipe ABC connecting two reservoirs is 80 mm in diameter from A to B the pipe is horizontal as shown in the figure and from B to C if falls by 3.5 meters the length AB and BC are 25 m and 15 m respectively. If the water in the presence at A is 4m above the centre line of pipe and at C 1 m above the centre line of pipe. Neglect the loss at bend but consider all other losses. Take f = 0.024

Q. 

The pressure head at B is

Air flows over a flat plate 1 m long at a velocity of 6 m/s. The sheer stress at the middle of plate will be

[Take S = 1.226 kg/m³, v = 0.15× 10^–4 m³/s (0.15 strokes) for air]

Oil is pumped through a 7.5 cm diameter pipe, 1 km long. The dynamic viscosity of oil is 0.1 N s/m². A power input of 5.4 kW with an overall efficiency of 60% at the pump is noted. The discharge through the pump is (specific gravity of oil is 0.9)