GATE XE discipline:engineering-sciences PYQs & Answers — Page 59

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Questions 581–590 of 1772. Imported answers require independent review unless marked reviewed.

Topic practice 1772 questionsPage 59 of 178

Consider steady incompressible flow of a Newtonian fluid over a horizontal flat plate, as shown in the figure. The boundary layer thickness is proportional to

Diagram for Engineering Sciences question 34

Your answerChoose one option.

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In a steady two-dimensional compressible flow,

and

are the

- and

-components of flow velocity, respectively and

is the fluid density. Among the following pairs of relations, which one(s) perfectly satisfies/satisfy the definition of stream function,

, for this flow?

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

and

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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 __________.

Diagram for Engineering Sciences question 36

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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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The velocity and acceleration of a fluid particle are given as

m/s and

m/s

, respectively. The magnitude of the component of acceleration (in m/s

, rounded off to two decimal places) of the fluid particle along the streamline is ______.

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A hydraulic turbine with rotor diameter of 100 mm produces 200 W of power while rotating at 300 rpm. Another dynamically-similar turbine rotates at a speed of 1500 rpm. Consider both turbines to operate with the same fluid (identical density and viscosity), and neglect any gravitational effect. Then the power (in W, rounded off to nearest integer) produced by the second turbine is ________________.

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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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Water flows around a thin flat plate (0.25 m long, 2 m wide) with a free stream velocity (

) of 1 m/s, as shown in the figure. Consider linear velocity profile

for which the laminar boundary layer thickness is expressed as

. For water, density = 1000 kg/m

and dynamic viscosity = 0.001 kg/m.s. Net drag force (in N, rounded off to two decimal places) acting on the plate, neglecting the end effects, is ______.

Diagram for Engineering Sciences question 41

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Axial velocity profile

for an axisymmetric flow through a circular tube of radius

is given as,

where

is the center velocity. If

refers to the area-averaged velocity (volume flow rate per unit area), then the ratio

for

(rounded off to two decimal places) is ______________.

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A stationary circular pipe of radius

m is half filled with water (density = 1000 kg/m

), whereas the upper half is filled with air at atmospheric pressure, as shown in the figure. Acceleration due to gravity is

m/s

. The magnitude of the force per unit length (in kN/m, rounded off to one decimal place) applied by water on the pipe section AB is ______.

Diagram for Engineering Sciences question 43

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GATE XE discipline:engineering-sciences PYQs

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

Question 42

Question 43