GATE XE topic:differential-analysis PYQs & Answers — Page 5

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topic:differential-analysis

Questions 41–50 of 53. Imported answers require independent review unless marked reviewed.

Topic practice 53 questionsPage 5 of 6

The velocity field and the surface normal vector are given by,

and

, respectively. If Euler equations are to be solved, the boundary condition that must be satisfied at the wall is,

Your answerChoose one option.

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If the stream function (

) for a two-dimensional incompressible flow field is given as

, the corresponding velocity field is

Your answerChoose one option.

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If the velocity field is

m/s, vorticity of the fluid element in the field at

in s

is _____.

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In a two-dimensional, incompressible and irrotational flow, fluid velocity (v) in the y-direction is given by

. The velocity (u) in the x-direction is

Your answerChoose one option.

u = 2x − 5y

u = 2x + 5y

u = 5x + 2y

u = 5x − 2y

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A two-dimensional laminar viscous liquid film of constant thickness (

) steadily flows down an incline as shown in figure. Acceleration due to gravity is

. If the velocity profile in the liquid film is given as,

, the value of constant

Diagram for Engineering Sciences question 13

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Consider a fully developed, two-dimensional and steady flow of a viscous fluid between two fixed parallel plates separated by a distance of 30 mm. The dynamic viscosity of the fluid is 0.01 kg/m-s and the pressure drop per unit length is 300 Pa/m. The fluid velocity at a distance of 10 mm from the bottom plate, in m/s, is ________.

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In a given flow field, the velocity vector in Cartesian coordinate system is given as:

What is the volume dilation rate of the fluid at a point where

and

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A steady, incompressible, two-dimensional velocity field in Cartesian coordinate system is represented by the following expression.

The coordinates of the point

in the flow field having “zero” velocity is,

Your answerChoose one option.

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In a Cartesian two-dimensional coordinate system,

and

represent the velocities in

and

directions, respectively. For a certain flow, the velocity field is represented by the following expression:

where, the coefficients

and

are constants. For an incompressible flow, which one of the following relations is TRUE?

Your answerChoose one option.

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The stream function (

) of a velocity field at any location

is given as,

. What is the rate of rotation of a fluid element located at

Your answerChoose one option.

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GATE XE topic:differential-analysis PYQs

Question 4

Question 6

Question 8

Question 12

Question 13

Question 16

Question 12

Question 13

Question 15

Question 17