GATE XE topic:engineering-sciences PYQs & Answers — Page 23

Questions 221–230 of 1772. Imported answers require independent review unless marked reviewed.

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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Figure shows two parallel plates (upper plate at

and lower one at

) of length L (aligned in

direction) and infinite width (in

direction, normal to the plane of the figure). Two immiscible, incompressible liquids are flowing steadily in the

direction through the thin passage between the plates under the influence of horizontal pressure gradient

. During the flow, the passage is always half-filled with denser fluid I (viscosity

) at the bottom and rest is occupied by lighter fluid II (viscosity

;

). Considering exactly planar interface between the fluids and no instabilities in the flow, the shear stress,

is expressed as:

Which one of the following options correctly identifies the location of the point having maximum velocity of the flow?

Diagram for Engineering Sciences question 31

Your answerChoose one option.

Above the interface

Below the interface

At the interface

At the top plate

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Group-I shows different two-dimensional bodies and Group-II mentions their total drag coefficient (

) based on frontal area while facing parallel flow of fluid having Reynolds number

along the direction of arrow. The bodies are placed symmetrically with respect to the flow direction.

Group-I	Group-II
P:	1: 1.2
Q:	2: 1.6
R:	3: 2.1
S:	4: 2.3

Which one of the following options identifies the correct match between Group-I and Group-II, as per the concept of degree of streamlining?

Your answerChoose one option.

P–3, Q–2, R–1, S–4

P–3, Q–2, R–4, S–1

P–2, Q–3, R–1, S–4

P–3, Q–1, R–2, S–4

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A solid body of uniform specific gravity floats in a deep liquid pool. Take

, and

as the centre of buoyancy, centre of gravity, and metacentre of the body, respectively. Which one of the following options is correct for the stable flotation of the body in the pool when the body is given a small tilt angle?

Your answerChoose one option.

is the metacentric height and

should lie below

is the metacentric height and

should lie above

is the metacentric height and

should lie below

is the metacentric height and

should lie above

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GATE XE topic:engineering-sciences PYQs

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33