GATE XE exam:gate PYQs & Answers — Page 76

Questions 751–760 of 1772. Imported answers require independent review unless marked reviewed.

A boundary layer develops due to a two-dimensional steady flow over a horizontal flat plate. Consider a vertical line away from the leading edge which extends from the wall to the edge of the boundary layer. Which of the following quantity/quantities is/are not constant along the vertical line?

and

represent the components of velocity in the direction along the plate and normal to it, respectively and

is taken along the length of the plate while

is the pressure. Neglect body forces.

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

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A 10 kg mass placed on an infinitely long horizontal massless flat platform is to be supported by a steady vertical water jet as shown in the figure. The diameter of the jet is 5 cm. What minimum average velocity is required to hold the mass in place? Assume

and

. Neglect friction. (Round off to two decimal places)

Diagram for Engineering Sciences question 30

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Consider an inviscid flow through a smooth pipe which has a pitot-static tube arrangement as shown. Find the centre-line velocity in the pipe. Consider that the density of the fluid is 1000 kg/m³, acceleration due to gravity is 10 m/s², and the specific gravity of the manometric fluid is 11.

Diagram for Engineering Sciences question 31

Your answerChoose one option.

2 m/s

3 m/s

5 m/s

7 m/s

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The speed of propagation,

, of a capillary wave depends on the density of the fluid,

, the wavelength of the wave,

, and the surface tension,

. If the density and wavelength remain constant, halving the surface tension would lead to a new velocity,

, given by

Your answerChoose one option.

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A two-dimensional flow field is described by a combination of a source of strength

at the origin and a uniform flow,

, in the positive

-direction such that the velocity potential is given by

The stagnation streamline is shown in the figure. Find the distance

Diagram for Engineering Sciences question 33

Your answerChoose one option.

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A typical boundary layer over a flat plate has a linear velocity profile with zero velocity at the wall and freestream velocity,

, at the outer edge of the boundary layer. What is the ratio of the momentum thickness to the thickness of the boundary layer?

Your answerChoose one option.

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Identify the configuration(s) in which steady two-dimensional internal flow may show boundary layer separation if the flow direction is left to right.

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

Diagram for Engineering Sciences question 35

Diagram for Engineering Sciences question 35 (figure 2)

Diagram for Engineering Sciences question 35 (figure 3)

Diagram for Engineering Sciences question 35 (figure 4)

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Consider steady fully developed flow of a liquid through two large horizontal flat parallel plates separated by a distance of 2 mm. One of the plate is fixed and the other plate moves at a speed of 0.5 m/s. What is the magnitude of the pressure gradient (in Pa/m) in the direction of the flow required to ensure that the net flow through the plates is zero? Dynamic viscosity of the liquid is

Ns/m

(Round off to the nearest integer)

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Consider two-dimensional turbulent flow of air over a horizontal flat plate of length 1 m. Skin friction coefficient at a length

from the leading edge of the plate is obtained as:

where,

is the local Reynolds number. Find out the drag force per unit width (in N/m

) on the plate if the free stream air velocity is 10 m/s. Density and dynamic viscosity of air are given as 1.2 kg/m

and

N-s/m

, respectively. (Round off to three decimal places)

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For an inviscid fluid with density 1 kg/m

, the Cartesian velocity field is given as:

Neglecting the body forces, find the magnitude of pressure gradient (in Pa/m) at

. (Round off to two decimal places)

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GATE XE exam:gate PYQs

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38