GATE XE Bernoulli’s Equation and its Applications, Potential Flows PYQs & Answers — Page 2

Questions 11–20 of 34. Imported answers require independent review unless marked reviewed.

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 potential flow, the fluid velocity is given by

. The slope of the potential line at

Your answerChoose one option.

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Water (density = 1000 kg/m

) flows steadily with a flow rate of 0.05 m

/s through a venturimeter having throat diameter of 100 mm. If the pipe diameter is 200 mm and losses are negligible, the pressure drop (in kPa, rounded off to one decimal place) between an upstream location in the pipe and the throat (both at the same elevation) is ______.

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Which of the following statement(s) regarding a venturimeter is/are correct?

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

In the direction of flow, it consists of a converging section, a throat, and a diverging section.

In the direction of flow, it consists of a diverging section, a throat, and a converging section.

It is used for flow measurement at a very low Reynolds number.

Pressure tappings are provided just upstream of the venturimeter and at the throat.

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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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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 siphon is used to drain out water (density 1000 kg/m³) from a tank as shown in the figure. What can be the maximum height

(in meter) of the point C? Consider acceleration due to gravity = 10 m/s², pressure at point A = 10 kPa, vapour pressure of water = 29.5 kPa and neglect friction. (Round off to two decimal places)

Diagram for Engineering Sciences question 42

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Water discharges from a cylindrical tank through an orifice, as shown in the figure. The flow is considered frictionless. Initially, the water level in the tank was

m. The diameter of the tank is

m, while the diameter of the jet is

cm, and the acceleration due to gravity is

m/s

. The time taken (in seconds, up to one decimal place) for the water level in the tank to come down to

m is ______.

Diagram for Engineering Sciences question 20

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Water is flowing with a flow rate

in a horizontal circular pipe. Due to the low pressure created at the venturi section (Section-1 in the figure), water from a reservoir is drawn upward using a connecting pipe as shown in the figure. Take acceleration due to gravity

m/s

. The flow rate

/s,

cm, and

cm. The maximum height (

, in meters, up to one decimal place) of the venturi from the reservoir just sufficient to raise the liquid up to Section-1 is ____________.

Diagram for Engineering Sciences question 22

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The potential function for a two dimensional incompressible flow field is given as:

Magnitude of the velocity vector at point (2,1) is ________ m/s

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GATE XE Bernoulli’s Equation and its Applications, Potential Flows PYQs

Question 28

Question 33

Question 40

Question 26

Question 31

Question 33

Question 42

Question 20

Question 22

Question 9