GATE CH topic:fluid-mechanics-and-mechanical-operations PYQs & Answers — Page 4

Questions 31–40 of 77. Imported answers require independent review unless marked reviewed.

A cylindrical tank with a diameter of 500 mm contains water (density = 1 g·cm

) up to a height

. A 5 mm diameter round nozzle, whose center is 1 cm above the base of the tank, has its exit open to the atmosphere as shown in the schematic below. The pressure above the water level in the tank is maintained at 2 bar (absolute). Neglect all frictional and entry-exit losses. Use acceleration due to gravity as 10 m·s

and atmospheric pressure as 1 bar. The absolute value of initial

(in mm·s

) when

cm is equal to _______ (rounded off to two decimal places).

Diagram for Chemical Engineering question 52

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A large tank is filled with water (density = 1 g·cm

) up to a height of 5 m. A 100 μm diameter solid spherical particle (density = 0.8 g·cm

) is released at the bottom of the tank. The particle attains terminal velocity (

) after traveling to a certain height in the tank. Use acceleration due to gravity as 10 m·s

and water viscosity as 10

Pa·s. Neglect wall effects on the particle. If Stokes law is applicable, the absolute value of

(in mm·s

) is __________(rounded off to two decimal places).

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Consider turbulent flow in a pipe under isothermal conditions. Let

denote the radial coordinate and

denote the axial flow direction. On moving away from the wall towards the center of the pipe, the

-component of the Reynolds stress

Your answerChoose one option.

Increases and then decreases

Decreases and then increases

Remains unchanged

Only increases

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A horizontal cylindrical water jet of diameter

cm strikes a vertical solid plate with a hole of diameter

cm, as shown in the figure. A part of the jet passes through the hole and the rest is deflected along the plate. The density of water is 100 kg m

. If the speed of the jet is 20 m s

, the magnitude of the horizontal force, in N, required to hold the plate stationary is

Diagram for Chemical Engineering question 38

Your answerChoose one option.

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Consider a horizontal rod of radius

(

) in a stationary pipe of radius

. The rod is pulled coaxially at a constant velocity

as shown in the figure. The annular region is filled with a Newtonian incompressible fluid of viscosity

. The steady state fully developed axial velocity profile in the fluid is given by

, where

is the radial coordinate. Ignoring end effects, the magnitude of the pulling force per unit rod length is

Diagram for Chemical Engineering question 39

Your answerChoose one option.

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Two reservoirs located at the same altitude are connected by a straight horizontal pipe of length 120 m and inner diameter 0.5 m, as shown in the figure. A pump transfers the liquid of density 800 kg m

at a flow rate of 1 m

from Reservoir-1 to Reservoir-2. The liquid levels in Reservoir-1 and Reservoir-2 are 2 m and 10 m, respectively. Assume that the reservoir cross-section areas are large enough to neglect the liquid velocity at the top of the reservoirs. All minor losses can be ignored. The acceleration due to gravity is 9.8 m s

. If the friction factor for the pipe-flow is 0.01, the required power of the pump is __________ kW (rounded off to one decimal place).

Diagram for Chemical Engineering question 51

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A venturi meter (venturi coefficient,

) is connected to a pipe of inner diameter 50 mm. Water (density 1000 kg m

) is flowing through the pipe. The pressure-drop measured across the venturi meter is 50 kPa. If the venturi throat diameter is 20 mm, the estimated flow rate of water is ______

(rounded off to two decimal places).

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In a constant-rate cake filtration operation, the collected filtrate volumes are 120 m

and 240 m

at 1 min and 2 min, respectively. Assume the cake resistance to be constant and the filter medium resistance to be negligible. If the pressure-drop across the cake is 10 kPa at 1 min, its value at 2 min is __________ kPa (rounded off to the nearest integer).

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A batch settling experiment is performed in a long column using a dilute dispersion containing equal number of particles of type A and type B in water (density 100 kg m

) at room temperature. Type A are spherical particles of diameter 30

m and density 1100 kg m

. Type B are spherical particles of diameter 10

m and density 1900 kg m

. Assuming that Stokes’ law is valid throughout the duration of the experiment, the settled bed would

Your answerChoose one option.

consist of a homogeneous mixture of type A and type B particles

consist of type B particles only

be completely segregated with type B particles on top of type A particles

be completely segregated with type A particles on top of type B particles

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A three-dimensional velocity field is given by

, where

are the unit vectors in

directions, respectively, describing a cartesian coordinate system. The coefficient

is a constant. If

describes an incompressible fluid flow, the value of

Your answerChoose one option.

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GATE CH topic:fluid-mechanics-and-mechanical-operations PYQs

Question 52

Question 53

Question 16

Question 38

Question 39

Question 51

Question 52

Question 53

Question 4

Question 5