GATE CE Fluid Mechanics PYQs & Answers — Page 5

Questions 41–49 of 49. Imported answers require independent review unless marked reviewed.

Topic practice 49 questionsPage 5 of 5

A flow field is given by

. Value of the z-component of the angular velocity (in radians per unit time, up to two decimal places) at the point (0, −1, 1) is ______

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A closed tank contains 0.5 m thick layer of mercury (specific gravity = 13.6) at the bottom. A 2.0 m thick layer of water lies above the mercury layer. A 3.0 m thick layer of oil (specific gravity = 0.6) lies above the water layer. The space above the oil layer contains air under pressure. The gauge pressure at the bottom of the tank is 196.2 kN/m

. The density of water is 1000 kg/m

and the acceleration due to gravity is 9.81 m/s

. The value of pressure in the air space is

Your answerChoose one option.

92.214 kN/m

95.644 kN/m

98.922 kN/m

99.321 kN/m

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A three-fluid system (immiscible) is connected to a vacuum pump. The specific gravity values of the fluids (S₁, S₂) are given in the figure.

Diagram for Civil Engineering question 46

The gauge pressure value (in kN/m², up to two decimal places) of p₁ is ______

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A rough pipe of 0.5 m diameter, 300 m length and roughness height of 0.25 mm carries water (kinematic viscosity = 0.9×10⁻⁶ m²/s) with velocity of 3 m/s. Friction factor (f) for laminar flow is given by f = 64/Re, and for turbulent flow it is given by

, where, Re = Reynolds number, r = radius of pipe, k = roughness height and g = 9.81 m/s². The head loss (in m, up to three decimal places) in the pipe due to friction is ______

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For a steady incompressible laminar flow between two infinite parallel stationary plates, the shear stress variation is

Your answerChoose one option.

linear with zero value at the plates

linear with zero value at the center

quadratic with zero value at the plates

quadratic with zero value at the center

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A triangular pipe network is shown in the figure.

Diagram for Civil Engineering question 23

The head loss in each pipe is given by

, with the variables expressed in a consistent set of units. The value of

for the pipe

is 1 and for the pipe

is 2. If the discharge supplied at the point

(i.e., 100) is equally divided between the pipes

and

, the value of

(up to two decimal places) for the pipe

should be ____________

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The figure shows a U-tube having a 5 mm × 5 mm square cross-section filled with mercury (specific gravity = 13.6) up to a height of 20 cm in each limb (open to the atmosphere).

Diagram for Civil Engineering question 45

If 5 cm

of water is added to the right limb, the new height (in cm, up to two decimal places) of mercury in the LEFT limb will be

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Water flows through a 90° bend in a horizontal plane as depicted in the figure.

Diagram for Civil Engineering question 49

A pressure of 140 kPa is measured at Section 1-1. The inlet diameter marked at Section 1-1 is

cm, while the nozzle diameter marked at Section 2-2 is

cm. Assume the following: (i) Acceleration due to gravity = 10 m/s

. (ii) Weights of both the bent pipe segment as well as water are negligible. (iii) Friction across the bend is negligible.

The magnitude of the force (in kN, up to two decimal places) that would be required to hold the pipe section is

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Water is pumped at a steady uniform flow rate of 0.01 m

/s through a horizontal smooth circular pipe of 100 mm diameter. Given that the Reynolds number is 800 and

is 9.81 m/s

, the head loss (in meters, up to one decimal place) per km length due to friction would be

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GATE CE Fluid Mechanics PYQs

Question 17

Question 32

Question 46

Question 48

Question 12

Question 23

Question 45

Question 49

Question 49