Engineering Sciences
GATE XE year:2020 PYQs
Build your understanding with focused practice from past exam papers.
Questions 31–40 of 175. Imported answers require independent review unless marked reviewed.
Question 10
Open questionXE-BMCQ2 marksNeeds review
Column I represents a list of elementary plane flows and Column II represents flow past geometry obtained by superposition of these elementary plane flows.
Column I
P: Source, Sink, Uniform flow
Q: Doublet, Uniform flow
R: Source, Uniform flow
S: Doublet, Free vortex, Uniform flow
Column II
1: Rankine half body
2: Rotating Cylinder
3: Rankine oval
4: Cylinder
The correct match between Columns I and II is,
Your answerChoose one option.
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The velocity field for a flow is
, where
is time. Choose the correct option representing the total acceleration at
Your answerChoose one option.
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An incompressible viscous fluid is placed between two infinite horizontal parallel plates as shown in Figure. The plates move in opposite direction with constant velocities
and
. The pressure gradient in the x-direction is zero and the only body force is due to the fluid weight. The flow is steady, laminar and two-dimensional. Assume velocity component in ‘y’ direction to be zero.
The correct expression for the velocity distribution between the plates is:
Your answerChoose one option.
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The stream function of a flow field is
where
is a constant. Which one of the following represents the vorticity?Your answerChoose one option.
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Consider a two dimensional, incompressible steady flow of a Newtonian fluid in which the velocity fields is
,
. Pressure gradients in the x- and y-directions areYour answerChoose one option.
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A hydroelectric power plant takes in 30 m
/s of water through its turbine and discharges it to the atmosphere with
m/s. The total head loss in the turbine and penstock system is 20 m. (Assume turbulent flow with kinetic energy correction factor as 1.1. Density of water is 1000 kg/m
and acceleration due to gravity, g is 10 m/s
).The net head available to the turbine for power generation is --------------- m.
(rounded off to one decimal place).
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Open questionXE-BNAT2 marksNeeds review
Water flows at an average velocity,
of 10 m/s through a horizontal smooth tube of diameter,
5 cm. The friction factor,
is 0.02. Head loss is obtained using Darcy-Weisbach relation
. The fluid pressure,
measured at various stations are reported in the table below. The length of the pipe,
between station 0 and station 6 is 6 m.Station | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|---|
, kPa | 304 | 273 | 255 | 240 | 226 | 213 | - |
If acceleration due to gravity, g = 10 m/s
and density of water =1000 kg/m
, then the fluid pressure at station 6 is ______ kPa
(rounded off to one decimal place)Log in to check the answer
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Open questionXE-BNAT2 marksNeeds review
A sphere model of 10 cm diameter is tested in water flowing at 2 m/s. The drag force is measured as 5 N. Prototype of 1.5 m in diameter is tested in air with dynamic similarity conditions. (Density of water is 1000 kg/m
, density of air is 1.2 kg/m
, viscosity of water is 0.001 Ns/m
and viscosity of air is 1.78 x 10
Ns/m
).Drag force experienced by the prototype is ______ N (rounded off to two decimal places).
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Open questionXE-BNAT2 marksNeeds review
A liquid of viscosity 1.74 x 10
Ns/m
is flowing through a horizontal capillary tube of diameter 0.5 mm. The flow in the tube is steady, incompressible and fully developed laminar flow. The pressure drop across two locations spaced 1 m apart in the tube is 1.0 MPa.The flow rate in the tube ______ mm
/s.Log in to check the answer
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Open questionXE-BNAT2 marksNeeds review
A venturimeter with 75 mm diameter throat is placed in a 150 mm diameter pipeline carrying water at 25°C. The pressure drop between the upstream tap and the venturi throat is 40 kPa. (Density of water = 1000 kg/m
).The flow rate is ______ m
/s (rounded off to three decimal places).Log in to check the answer
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