GATE XE Integral Analysis for a Control Volume PYQs & Answers

Questions 1–10 of 18. Imported answers require independent review unless marked reviewed.

A vertical jet of diameter

strikes a horizontal plate with a velocity

, as shown in the figure. The plate has a hole of diameter

concentric to the flow through which a portion of fluid passes with the same velocity

. The remaining fluid moves radially outward along the plate. If

is the force acting vertically upward to hold the horizontal plate at its initial place, which of the following statements is/are true?

Diagram for Engineering Sciences question 36

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

Radially outward flow has no effect on

decreases as

decreases keeping other parameters unchanged.

increases as

increases keeping other parameters unchanged.

remains constant as

increases keeping other parameters unchanged.

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Statement of Reynolds Transport Theorem is given below with three blanks.

The rate of change of ______ extensive property can be calculated by summing the rate of change of the amount of same property in the ______ and the rate at which the property is ______ the surface of the control volume.

Which one of the following options correctly fills the blanks by using its comma-separated phrases in sequence?

Your answerChoose one option.

system, control volume, exiting

control volume, system, exiting

system, control volume, entering

control volume, control volume, entering

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A fixed control volume has four one-dimensional boundary sections (1, 2, 3, and 4). For a steady flow inside the control volume, the flow properties at each section are tabulated below:

Boundary Section	Type	Density (kg/m )	Surface Normal Velocity (m/s)	Cross-sectional Area (m )	Specific Energy (J/kg)
1	Inlet	1000	10	0.5	200
2	Inlet	1000	2	3.0	50
3	Outlet	1000	5	1.0	100
4	Outlet	1000	4	1.5	80

The rate of change of energy of the system which occupies the control volume at this instant is

J/s. The value of

(rounded off to 2 decimal places) is ________

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Let

, and

be position vector, velocity vector, and mass, respectively in a control mass system. Which one of the following properties is considered as conserved extensive property in Reynolds Transport Theorem to obtain the angular momentum equation?

Your answerChoose one option.

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A circular water jet of diameter 50 mm impinges with a velocity of 18 m/s normal to a plate. The density of water is 1000 kg/m

and gravity force is neglected.

Diagram for Engineering Sciences question 38

The magnitude of net force (in N, rounded off to two decimal places) imparted by the jet on the stationary plate is ______________.

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Consider the steady, incompressible flow of water in a horizontal pipe of constant diameter 1 m with an inlet velocity of 12 m/s.

Diagram for Engineering Sciences question 39

As shown in figure, water is lost through a circular hole of diameter 0.6 m at the rate of 4.53 m

/s. The outlet velocity (in m/s, rounded off to two decimal places) of water in the pipe is ______.

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A water jet (density = 1000 kg/m

) is approaching a vertical plate, having an orifice at the center, as shown in the figure. While a part of the jet passes through the orifice, remainder flows along the plate. Neglect friction and assume both the inlet and exit jets to have circular cross-sections. If

m/s,

mm and

mm, magnitude of the horizontal force (in N, rounded off to one decimal place) required to hold the plate in its position is __________.

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Water (density = 1000 kg/m

) and alcohol (specific gravity = 0.7) enter a Y-shaped channel at flow rates of 0.2 m

/s and 0.3 m

/s, respectively. Their mixture leaves through the other end of the channel, as shown in the figure. The average density (in kg/m

) of the mixture is ______.

Diagram for Engineering Sciences question 37

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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 a lawn sprinkler with horizontal arms of radius,

cm which has water introduced vertically through the centre, as shown in the figure. The exit area of the jet is 25 cm

and the jet velocity is 1 m/s. The water is ejected orthogonal to the sprinkler arm and the jet makes an angle of 60° with the horizontal plane. Find the torque (in N-m) required to hold the sprinkler stationary. Consider water density 1000 kg/m

. Neglect the effects of friction and gravity. (Round off to two decimal places)

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GATE XE Integral Analysis for a Control Volume PYQs

How to practice Integral Analysis for a Control Volume

Question 36

Question 25

Question 40

Question 26

Question 38

Question 39

Question 36

Question 37

Question 30

Question 39