GATE XE year:2025 PYQs & Answers — Page 3

Questions 21–30 of 175. Imported answers require independent review unless marked reviewed.

Let

be the solution of the initial boundary value problem

Then the value of

is equal to (rounded off to two decimal places)

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Fluid at a constant flow rate passes through a long, straight, cylindrical pipe that has an axisymmetric convergent section at the end. Which one of the following options correctly represents the velocity field in the converging section in cylindrical

coordinates?

Your answerChoose one option.

Two-dimensional function of

and

One-dimensional function of

Two-dimensional function of

and

One-dimensional function of

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A sharp flat plate of length

and infinite width is immersed parallel to a fluid stream having velocity

. At a point on the plate, far away from the leading edge and not near the trailing edge, the boundary layer thickness, the displacement thickness, and the momentum thickness are denoted as

, and

, respectively. Which one of the following options correctly represents the relation between these thicknesses?

Your answerChoose one option.

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Consider the following Statements [1] and [2].

Statement [1]: The Eulerian study focuses attention on individual particle and its motion is observed as a function of time.

Statement [2]: The Lagrangian study focuses attention on the motion of the particles pass through an identified point.

Which one of the following options identifies the correctness of the given statements?

Your answerChoose one option.

Both [1] and [2] are correct.

Both [1] and [2] are NOT correct.

[1] is correct, but [2] is NOT correct.

[1] is NOT correct, but [2] is correct.

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Statement of Reynolds Transport Theorem is given below with three blanks.

The rate of change of ______ extensive property can be calculated by summing the rate of change of the amount of same property in the ______ and the rate at which the property is ______ the surface of the control volume.

Which one of the following options correctly fills the blanks by using its comma-separated phrases in sequence?

Your answerChoose one option.

system, control volume, exiting

control volume, system, exiting

system, control volume, entering

control volume, control volume, entering

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For a steady and incompressible flow, the velocity field (

) in Cartesian

coordinate system is given as:

Here,

, and

are unit vectors along

, and

directions, respectively and

is a constant. Which one of the following options is the correct value of

that satisfies the conservation of mass for the given velocity field?

Your answerChoose one option.

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Conservation of mass for a steady axisymmetric flow field in the cylindrical

coordinates is:

Here,

and

are radial and axial components of velocity, respectively. Which one of the following options is correct if

is the stream function?

Your answerChoose one option.

and

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Group-I indicates different properties of fluid and Group-II defines their basic dimensions in terms of Force (

), Length (

), and Time (

Group-I	Group-II
P: Dynamic viscosity	1:
Q: Surface tension	2:
R: Density	3:

Which one of the following options identifies the correct match between Group-I and Group-II?

Your answerChoose one option.

P–1, Q–3, R–2

P–2, Q–1, R–3

P–3, Q–2, R–1

P–2, Q–3, R–1

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Consider the steady, incompressible, and fully developed laminar flow of a fluid through a circular pipe. Here,

is the pressure drop in the direction of the flow and

is the average velocity of the fluid at any cross-section. The relation between

and

is:

Here,

and

are constants. Which one of the following options is the correct value of

Your answerChoose one option.

1.75

0.5

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A doublet is the resulting flow pattern when a sink and a source of equal strength are brought together. Which one of the following options correctly represents the nature of the product of the strength and the distance between them during approach?

Your answerChoose one option.

Remains always constant

Continuously decreases

Continuously increases

First increases and then continuously decreases after reaching a maximum

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GATE XE year:2025 PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30