GATE XE purpose:exam-prep PYQs & Answers — Page 4

Questions 31–40 of 1772. Imported answers require independent review unless marked reviewed.

A steady, laminar, and incompressible flow between a pair of infinite parallel plates is driven by a constant pressure gradient

. The plates are separated by a distance

, as shown in the figure. The fully-developed velocity profile of the flow is

where

is the dynamic viscosity.

The values of

, for which the local flow velocity is equal to the average flow velocity, are

Diagram for Engineering Sciences question 31

Your answerChoose one option.

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An incompressible fluid flows between a pair of infinite plates separated by a distance

. The top plate is moving with a constant velocity

, whereas the bottom plate is stationary, as shown in the figure. The difference of the stream functions (

) at the two plates for a laminar and fully-developed flow is equal to

Diagram for Engineering Sciences question 32

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Consider two different cases of water flowing through a smooth pipe of 50 cm diameter. The mass flow rates for the two cases are (i) 0.25 kg.s

, and (ii) 0.8 kg.s

. Assume the density and dynamic viscosity of water as 1000 kg.m

and

Pa.s, respectively. Which one of the following options is correct?

Your answerChoose one option.

The flow is laminar for both (i), and (ii).

The flow is laminar for (i), and turbulent for (ii).

The flow is turbulent for (i), and laminar for (ii).

The flow is turbulent for both (i), and (ii).

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A two-dimensional source flow (with stream function,

) is placed at the origin in a uniform flow (with stream function,

). Here, the strength of the source is

and the freestream velocity is

. The velocity components

and

of the combined flow in

- and

-directions, respectively, are

Your answerChoose one option.

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Consider a steady, laminar, and incompressible flow over a flat plate, as shown in the figure. With freestream velocity

and kinematic viscosity

, the boundary layer thickness at a distance

from the leading edge is

. If the kinematic viscosity of the fluid is increased by a factor of four (

), the boundary layer thickness (

) at

with same

will be equal to

Diagram for Engineering Sciences question 35

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A vertical jet of diameter

strikes a horizontal plate with a velocity

, as shown in the figure. The plate has a hole of diameter

concentric to the flow through which a portion of fluid passes with the same velocity

. The remaining fluid moves radially outward along the plate. If

is the force acting vertically upward to hold the horizontal plate at its initial place, which of the following statements is/are true?

Diagram for Engineering Sciences question 36

Your answerSelect all correct options. You can choose more than one.

Radially outward flow has no effect on

decreases as

decreases keeping other parameters unchanged.

increases as

increases keeping other parameters unchanged.

remains constant as

increases keeping other parameters unchanged.

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The velocity of a fluid part in a flow is given as:

where

are constants, and

are unit vectors in x-, y-, z-directions, respectively. Which of the following statements is/are correct?

Your answerSelect all correct options. You can choose more than one.

The flow is steady for any value of a, b, and c.

At a point

, the velocity component in x-direction is higher than the velocity components in y- and z-directions for

, and

The point

is a stagnation point for

and

The acceleration of the flow along the x-direction is not constant for any value of a, b, and c.

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A gas is pressurized in a vertical frictionless piston-cylinder device, as shown in the figure. The piston has a mass of 4 kg and a cross-sectional area of 40 cm

. A metallic block of 13 kg is placed on the piston. The atmospheric pressure (

) is 1 bar. Assume acceleration due to gravity as 10 m.s

. The pressure inside the cylinder,

(in bar) is __________. (rounded off to three decimal places)

Diagram for Engineering Sciences question 38

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A ship is designed to sail at a speed of 8 m.s

. A designer makes a 1/10 scaled model to test the ship in a water tunnel. The model and the ship satisfy the dynamic similarity. The speed (in m.s

) of the model is __________. (rounded off to two decimal places)

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A rectangular block (density = 600 kg.m

) with base area of 0.06 m

and height 15 cm is partially submerged in water (density = 1000 kg.m

), as shown in the figure. Assume acceleration due to gravity as 10 m.s

. The submerged depth,

(in m) of the block in the water is __________. (rounded off to two decimal places)

Diagram for Engineering Sciences question 40

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GATE XE purpose:exam-prep PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40