GATE CE Fluid Mechanics PYQs & Answers — Page 4

Questions 31–40 of 49. Imported answers require independent review unless marked reviewed.

Three reservoirs P, Q, and R are interconnected by pipes as shown in the figure (not drawn to the scale). Piezometric head at the junction S of the pipes is 100 m. Assume acceleration due to gravity as 9.81 m/s

and density of water as 1000 kg/m

. The length of the pipe from junction S to the inlet of reservoir R is 180 m.

Diagram for Civil Engineering question 49

Considering head loss only due to friction (with friction factor of 0.03 for all the pipes), the height of water level in the lowermost reservoir (in m, round off to one decimal place) with respect to the datum, is _____.

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A cast iron pipe of diameter 600 mm and length 400 m carries water from a tank and discharges freely into air at a point 4.5 m below the water surface in the tank. The friction factor of the pipe is 0.018. Consider acceleration due to gravity as 9.81 m/s². The velocity of the flow in pipe (in m/s, round off to two decimal places) is _____.

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A circular water tank of 2 m diameter has a circular orifice of diameter 0.1 m at the bottom. Water enters the tank steady at a flow rate of 20 litre/s and escapes through the orifice. The coefficient of discharge of the orifice is 0.8. Consider the acceleration due to gravity as 9.81 m/s

and neglect frictional losses. The height of the water level (in m, round off to two decimal places) in the tank at the steady state, is _____.

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A solid sphere of radius,

, and made of material with density,

, is moving through the atmosphere (constant pressure,

) with a velocity,

. The net force ONLY due to atmospheric pressure (

) acting on the sphere at any time,

, is

Your answerChoose one option.

zero

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The velocity field in a flow system is given by

. The acceleration of the fluid at (1, 1, 2) is

Your answerChoose one option.

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A circular duct carrying water gradually contracts from a diameter of 30

to 15

. The figure (not drawn to scale) shows the arrangement of differential manometer attached to the duct.

Diagram for Civil Engineering question 22

When the water flows, the differential manometer shows a deflection of 8

of mercury (

). The values of specific gravity of mercury and water are 13.6 and 1.0, respectively. Consider the acceleration due to gravity,

. Assuming frictionless flow, the flow rate (in

, round off to 3 decimal places) through the duct is ________.

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Two identical pipes (i.e., having the same length, same diameter, and same roughness) are used to withdraw water from a reservoir. In the first case, they are attached in series and discharge freely into the atmosphere. In the second case, they are attached in parallel and also discharge freely into the atmosphere. Neglecting all minor losses, and assuming that the friction factor is same in both the cases, the ratio of the discharge in the parallel arrangement to that in the series arrangement (round off to 2 decimal places) is ________

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Two water reservoirs are connected by a siphon (running full) of total length 5000

and diameter of 0.10

, as shown below (figure not drawn to scale).

Diagram for Civil Engineering question 50

The inlet leg length of the siphon to its summit is 2000

. The difference in the water surface levels of the two reservoirs is 5

. Assume the permissible minimum absolute pressure at the summit of siphon to be 2.5

of water when running full. Given: friction factor

throughout, atmospheric pressure = 10.3

of water, and acceleration due to gravity

. Considering only major loss using Darcy-Weisbach equation, the maximum height of the summit of siphon from the water level of upper reservoir,

(in

, round off to 1 decimal place) is ________.

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Consider a laminar flow in the

-direction between two infinite parallel plates (Couette flow). The lower plate is stationary and the upper plate is moving with a velocity of 1

in the

-direction. The distance between the plates is 5

and the dynamic viscosity of the fluid is 0.01

. If the shear stress on the lower plate is zero, the pressure gradient,

, (in

per

, round off to 1 decimal place) is ________.

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Bernoulli’s equation is applicable for

Your answerChoose one option.

viscous and compressible fluid flow

inviscid and compressible fluid flow

inviscid and incompressible fluid flow

viscous and incompressible fluid flow

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GATE CE Fluid Mechanics PYQs

Question 49

Question 49

Question 51

Question 12

Question 13

Question 22

Question 49

Question 50

Question 51

Question 12