GATE XE discipline:engineering-sciences PYQs & Answers — Page 129

Questions 1281–1290 of 1772. Imported answers require independent review unless marked reviewed.

Assertion [a]: The streamlines in a free vortex flow are concentric circles.\nReason [r]: There exists only radial component for the velocity field in a free vortex flow.

Your answerChoose one option.

Both [a] and [r] are true and [r] is the correct reason for [a]

Both [a] and [r] are true but [r] is not the correct reason for [a]

[a] is true but [r] is false

[a] is false but [r] is true

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The velocity components in Cartesian coordinates in a two-dimensional incompressible flow are

and

. The magnitude of total acceleration at the point

Your answerChoose one option.

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For steady laminar flow at zero incidence over a flat plate, the component of velocity parallel to the plate in the boundary layer is given by

, where

is the distance measured normal to the flat plate. If

is the coefficient of dynamic viscosity,

is the velocity parallel to the wall at the edge of the boundary layer and

is the boundary layer thickness, the wall shear stress is given by

Your answerChoose one option.

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A fluid with constant density of

flows past a semi-cylindrical structure with a freestream velocity of

as shown in the figure below. The difference in static pressure between points P and Q is

. If the gravitational acceleration

and the flow is assumed to be potential, what is the radius

(in m) of the semi-cylindrical structure?

Diagram for Engineering Sciences question 16

Your answerChoose one option.

0.8

0.6

0.4

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The mercury manometer shown in the figure below is connected to a water pipe at one end while the other end is open to the atmosphere. The density of water is

, the specific gravity of mercury is 13.6 and the gravitational acceleration

. The gage pressure

(in

, rounded off to 2 decimal places) in the water pipe is ______.

Diagram for Engineering Sciences question 17

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Water (

) flows through a smooth circular pipe of radius

. If the flow Reynolds number is 100, then the pressure drop (in

, rounded off to 2 decimal places) over a length of 5 m will be ______.

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A uniform flow with a velocity of 2 m/s in the

-direction approaches a line source placed on the

-axis at a distance of 0.1 m from the origin. If the origin is the stagnation point in the resulting flow, the strength of the source (in

, rounded off to 2 decimal places) is ______.

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In a steady incompressible flow of a fluid past a smooth stationary sphere, the drag force

depends on the flow velocity

, diameter

, and the dynamic viscosity

and density

of the fluid. Experiments are conducted on the same sphere at the same flow velocity using two different fluids. The density of the second fluid is two times that of the first fluid. The dynamic viscosity of the second fluid is

times that of the first fluid. If the non-dimensional force

remains the same in both the experiments, the value of

is ______.

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An incompressible fluid flows past a flat plate as shown in the figure below with a uniform inlet velocity profile

and a parabolic exit velocity profile

, where

is the component of velocity parallel to the wall,

is the normal distance from the plate and

. If the volume flow rate across the top surface of the control volume (CV) is

per unit width (perpendicular to the

plane) of the plate, the value of

(rounded off to 2 decimal places) is ______.

Diagram for Engineering Sciences question 21

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A jet engine is to be tested on a thrust stand as shown in the figure below. The conditions prevailing in a typical test are as follows: Axial intake air velocity = 100 m/s; axial exhaust gas velocity = 250 m/s; intake cross-sectional area = 1 m

; intake static pressure =

kPa (gauge); exhaust static pressure = 0 kPa (gauge); mass flow rate through the engine = 100 kg/s. The anchoring force (in kN) in axial direction on the thrust stand is ______.

Diagram for Engineering Sciences question 22

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GATE XE discipline:engineering-sciences PYQs

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22