GATE ME Fluid Mechanics PYQs & Answers — Page 3

Questions 21–30 of 76. Imported answers require independent review unless marked reviewed.

A tiny temperature probe is fully immersed in a flowing fluid and is moving with zero relative velocity with respect to the fluid. The velocity field in the fluid is

, and the temperature field in the fluid is

, where

and

are the spatial coordinates, and

is the time. The time rate of change of temperature recorded by the probe at

is ______.

Your answerChoose one option.

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In the following two-dimensional momentum equation for natural convection over a surface immersed in a quiescent fluid at temperature

(

is the gravitational acceleration,

is the volumetric thermal expansion coefficient,

is the kinematic viscosity,

and

are the velocities in

and

directions, respectively, and

is the temperature)

the term

represents

Your answerChoose one option.

Ratio of inertial force to viscous force.

Ratio of buoyancy force to viscous force.

Viscous force per unit mass.

Buoyancy force per unit mass.

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The velocity field in a fluid is given to be

. Which of the following statement(s) is/are correct?

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

The velocity field is one-dimensional.

The flow is incompressible.

The flow is irrotational.

The acceleration experienced by a fluid particle is zero at

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A solid spherical bead of lead (uniform density = 1100 kg/m

) of diameter

mm sinks with a constant velocity

in a large stagnant pool of a liquid (dynamic viscosity =

kg·m

·s

). The coefficient of drag is given by

, where the Reynolds number (Re) is defined on the basis of the diameter of the bead. The drag force acting on the bead is expressed as

, where

is the density of the liquid. Neglect the buoyancy force. Using

m/s

, the velocity

is ________ m/s.

Your answerChoose one option.

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A tube of uniform diameter

is immersed in a steady flowing inviscid liquid stream of velocity

, as shown in the figure. Gravitational acceleration is represented by

. The volume flow rate through the tube is _____.

Diagram for Mechanical Engineering question 43

Your answerChoose one option.

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Consider steady, one-dimensional compressible flow of a gas in a pipe of diameter 1 m. At one location in the pipe, the density and velocity are 1 kg/m

and 100 m/s, respectively. At a downstream location in the pipe, the velocity is 170 m/s. If the pressure drop between these two locations is 10 kPa, the force exerted by the gas on the pipe between these two locations is __________ N.

Your answerChoose one option.

300

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The steady velocity field in an inviscid fluid of density 1.5 is given to be

. Neglecting body forces, the pressure gradient at

is __________.

Your answerChoose one option.

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A uniform wooden rod (specific gravity = 0.6, diameter = 4 cm and length = 8 m) is immersed in the water and is hinged without friction at point A on the waterline as shown in the figure. A solid spherical ball made of lead (specific gravity = 11.4) is attached to the free end of the rod to keep the assembly in static equilibrium inside the water. For simplicity, assume that the radius of the ball is much smaller than the length of the rod.

Assume density of water = 10³ kg/m³ and π = 3.14.

Radius of the ball is ______ cm (round off to 2 decimal places).

Diagram for Mechanical Engineering question 62

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A steady two-dimensional flow field is specified by the stream function

where

and

are in meter and the constant

. The magnitude of acceleration at a point

is ________ m/s

(round off to 2 decimal places).

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For a two-dimensional, incompressible flow having velocity components

and

in the

and

directions, respectively, the expression

can be simplified to

Your answerChoose one option.

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GATE ME Fluid Mechanics PYQs

Question 24

Question 25

Question 29

Question 43

Question 43

Question 44

Question 44

Question 62

Question 63

Question 11