GATE XE topic:engineering PYQs & Answers — Page 58

Questions 571–580 of 1772. Imported answers require independent review unless marked reviewed.

For an incompressible boundary layer flow over a flat plate shown in the figure, the momentum thickness is expressed as

Diagram for Engineering Sciences question 24

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Among the shear stress versus shear strain rate curves shown in the figure, which one corresponds to a shear thinning fluid?

Diagram for Engineering Sciences question 25

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Consider steady incompressible flow over a flat plate, where the dashed line represents the edge of the boundary layer, as shown in the figure. Which one among the following statements is true?

Diagram for Engineering Sciences question 26

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Bernoulli’s equation can be applied in Region I between any two arbitrary points.

Bernoulli’s equation can be applied in Region I only along a streamline.

Bernoulli’s equation cannot be applied in Region II.

Bernoulli’s equation cannot be applied in Region I.

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An inviscid steady incompressible flow is formed by combining a uniform flow with velocity

and a clockwise vortex of strength

at the origin, as shown in the figure. Velocity potential (

) for the combined flow in polar coordinate

Diagram for Engineering Sciences question 27

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Which of the following statements are true?

(i) Conservation of mass for an unsteady incompressible flow can be represented as

, where

denotes velocity vector.

(ii) Circulation is defined as the line integral of vorticity about a closed curve.

(iii) For some fluids, shear stress can be a non-linear function of the shear strain rate.

(iv) Integration of the Bernoulli’s equation along a streamline under steady-state leads to the Euler’s equation.

Your answerChoose one option.

(i), (ii) and (iv) only

(i), (ii) and (iii) only

(i) and (iii) only

(ii) and (iv) only

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For a two-dimensional flow field given as

, a streamline passes through points

and

. The value of

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A stationary object is fully submerged in a static fluid, as shown in the figure. Here, CG and CB stand for center of gravity and center of buoyancy, respectively. Which one(s) among the following statements are true?

Diagram for Engineering Sciences question 30

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

The object is in stable equilibrium if

The object is in neutral equilibrium if

The object is in unstable equilibrium if

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Consider steady fully-developed incompressible flow of a Newtonian fluid between two infinite parallel flat plates. The plates move in the opposite directions, as shown in the figure. In the absence of body force and pressure gradient, the ratio of shear stress at the top surface (

) to that at the bottom surface (

) is

Diagram for Engineering Sciences question 31

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A two-dimensional incompressible flow field is defined as,

where,

and

are constants. The dynamic viscosity of the Newtonian fluid is

. In the absence of body force, which among the following expressions represents the pressure gradient at the location

in the concerned flow field?

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For a potential flow, the fluid velocity is given by

. The slope of the potential line at

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GATE XE topic:engineering PYQs

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33