GATE XE topic:engineering PYQs & Answers — Page 145

Questions 1441–1450 of 1772. Imported answers require independent review unless marked reviewed.

Topic practice 1772 questionsPage 145 of 178

Let

denote the set of complex numbers and

. Let

be the simple positively oriented circle

and

. If

is analytic in

and is given by

then the value of the contour integral

Your answerChoose one option.

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Let

denote the three dimensional Euclidean space and

for all

. If

is the curve described by the parametric equation

, then the value of the line integral

is ______________

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Let

satisfy the initial and boundary value problem

Then the value of

is ______________

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Rheological diagram of different types of fluids is shown in figure. Column I represents the nature of the fluid and column II represents the curve showing the variation of shear stress against shear strain rate.

Column I (i) Newtonian (ii) Shear thinning (iii) Shear thickening (iv) Bingham plastic

Column II M N O P

The most appropriate match between columns I and II is,

Diagram for Engineering Sciences question 1

Your answerChoose one option.

(i) – O; (ii) – N; (iii) – P; (iv) – M

(i) – O; (ii) – P; (iii) – N; (iv) – M

(i) – P; (ii) – O; (iii) – M; (iv) – N

(i) – P; (ii) – O; (iii) – N; (iv) – M

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In a two-dimensional, incompressible and rotational flow, stream function (

) and velocity potential (

) exist. The velocities in x and y directions are non-zero.

The product of

and

, is

Your answerChoose one option.

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The inviscid flow past a rotating circular cylinder can be generated by the superposition of

Your answerChoose one option.

uniform flow, source and vortex

uniform flow, doublet

uniform flow, sink and vortex

uniform flow, doublet and vortex

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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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The influence of Froude number is most significant in

Your answerChoose one option.

capillary flows

creeping flows

free surface flows

compress flows

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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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Water is flowing in two different tubes of diameters D and 2D, with the same velocity. The ratio of laminar friction factors for the larger diameter tube to the smaller diameter tube is

Your answerChoose one option.

0.5

1.0

2.0

4.0

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GATE XE topic:engineering PYQs

Question 9

Question 10

Question 11

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7