GATE ME Fluid Mechanics PYQs & Answers — Page 2

Questions 11–20 of 76. Imported answers require independent review unless marked reviewed.

Consider a velocity field

, where

is a constant. If the flow is irrotational, the value of

is __________ (rounded off to 1 decimal place).

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The velocity field of a two-dimensional, incompressible flow is given by

where

and

denote the unit vectors in

and

directions, respectively. If

, then

Your answerChoose one option.

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In the pipe network shown in the figure, all pipes have the same cross-section and can be assumed to have the same friction factor. The pipes connecting points

, and

with point

have an equal length

. The pipe connecting points

and

has a length

. The pressures at the ends

, and

are equal. The flow rate in the pipe connecting

and

. Assume that the fluid flow is steady, incompressible, and the pressure losses at the pipe entrance and junction are negligible. Consider the following statements:

I: The flow rate in pipe connecting

and

II: The pressure difference between

and

is equal to the pressure difference between

and

Which one of the following options is CORRECT?

Diagram for Mechanical Engineering question 37

Your answerChoose one option.

I is True and II is False

I is False and II is True

Both I and II are True

Both I and II are False

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A liquid fills a horizontal capillary tube whose one end is dipped in a large pool of the liquid. The experiments show that the distance

travelled by the liquid meniscus inside the capillary in time

is given by

where

is the surface tension,

is the inner radius of the capillary, and

is the dynamic viscosity of the liquid. If

is a dimensionless constant, then the exponent

is ________ (rounded off to 1 decimal place).

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Air (density = 1.2 kg/m

, kinematic viscosity = 1.5×10

/s) flows over a flat plate with a free-stream velocity of 2 m/s. The wall shear stress at a location 15 mm from the leading edge is

. What is the wall shear stress at a location 30 mm from the leading edge?

Your answerChoose one option.

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Consider an isentropic flow of air (ratio of specific heats = 1.4) through a duct as shown in the figure.

The variations in the flow across the cross-section are negligible. The flow conditions at Location 1 are given as follows:

kPa,

kg/m

m/s

The duct cross-section area at Location 2 is given by A₂ = 2A₁, where A₁ denotes the duct cross-section area at Location 1. Which one of the given statements about the velocity

and pressure

at Location 2 is TRUE?

Diagram for Mechanical Engineering question 20

Your answerChoose one option.

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The velocity field of a certain two-dimensional flow is given by

where

. The coordinates

and

are in meters. Assume gravitational effects to be negligible.

If the density of the fluid is 1000 kg/m

and the pressure at the origin is 100 kPa, the pressure at the location (2 m, 2 m) is ____________ kPa.

(Answer in integer)

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Consider a unidirectional fluid flow with the velocity field given by

where

. If the spatially homogeneous density field varies with time

the value of $u(2,1) is ______________. (Rounded off to two decimal places)

Assume all quantities to be dimensionless.

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The figure shows two fluids held by a hinged gate. The atmospheric pressure is

kPa. The moment per unit width about the base of the hinge is ____________ kN·m/m. (Rounded off to one decimal place)

Take the acceleration due to gravity to be

Diagram for Mechanical Engineering question 64

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An explosion at time

releases energy

at the origin in a space filled with a gas of density

. Subsequently, a hemispherical blast wave propagates radially outwards as shown in the figure.

Let R denote the radius of the front of the hemispherical blast wave. The radius R follows the relation

, where k is a dimensionless constant. The value of exponent a is __________.

(Rounded off to one decimal place)

Diagram for Mechanical Engineering question 65

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GATE ME Fluid Mechanics PYQs

Question 50

Question 16

Question 37

Question 51

Question 19

Question 20

Question 62

Question 63

Question 64

Question 65