Mechanical Engineering
GATE ME topic:fluid-mechanics PYQs
Build your understanding with focused practice from past exam papers.
Questions 41–50 of 76. Imported answers require independent review unless marked reviewed.
Question 15
Open questionMEMCQ1 markNeeds review
In the space above the mercury column in a barometer tube, the gauge pressure of the vapour is
Your answerChoose one option.
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The velocity field of an incompressible flow in a Cartesian system is represented by
Which one of the following expressions for
is valid?Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 37
Open questionMENAT2 marksNeeds review
A hollow spherical ball of radius 20 cm floats in still water, with half of its volume submerged. Taking the density of water as 1000 kg/m
, and the acceleration due to gravity as 10 m/s
, the natural frequency of small oscillations of the ball, normal to the water surface is ______ radians (round off to 2 decimal places).Log in to check the answer
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Open questionMENAT2 marksNeeds review
The barrier shown between two water tanks of unit width (1 m) into the plane of the screen is modeled as a cantilever.

Taking the density of water as 1000 kg/m³, and the acceleration due to gravity as 10 m/s², the maximum absolute bending moment developed in the cantilever is ______ kN·m (round off to the nearest integer).
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Open questionMENAT2 marksNeeds review
Consider a flow through a nozzle, as shown in the figure below. The air flow is steady, incompressible and inviscid. The density of air is 1.23 kg/m
. The pressure difference, (
) is ______ kPa (round off to 2 decimal places). 
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Consider steady, viscous, fully developed flow of a fluid through a circular pipe of internal diameter
. We know that the velocity profile forms a parabola about the pipe centre line, given by:
m/s, where
is a constant. The rate of kinetic energy (in J/s) at the control surface A-B, as shown in the figure, is proportional to
. The value of
is ______.

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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 49
Open questionMENAT2 marksNeeds review
Water (density 100 kg/m
) flows through an inclined pipe of uniform diameter. The velocity, pressure and elevation at section A are
m/s,
kPa and
m, respectively, and those at section B are
m/s,
kPa and
m, respectively. If acceleration due to gravity is 10 m/s
then the head lost due to friction is ______ m (round off to one decimal place).Log in to check the answer
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Open questionMENAT2 marksNeeds review
Air discharges steadily through a horizontal nozzle and impinges on a stationary vertical plate as shown in figure.

The inlet and outlet areas of the nozzle are 0.1 m² and 0.02 m², respectively. Take air density as constant and equal to 1.2 kg/m³. If the inlet gauge pressure of air is 0.36 kPa, the gauge pressure at point O on the plate is ______ kPa (round off to two decimal places).
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For a Kaplan (axial flow) turbine, the outlet blade velocity diagram at a section is shown in figure.

The diameter at this section is 3 m. The hub and tip diameters of the blade are 2 m and 4 m, respectively. The water volume flow rate is 100 m³/s. The rotational speed of the turbine is 300 rpm. The blade outlet angle β is _____ degrees (round off to one decimal place).
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Open questionMEMCQ1 markNeeds review
A two-dimensional incompressible frictionless flow field is given by
. If
is the density of the fluid, the expression for pressure gradient vector at any point in the flow field is given asYour answerChoose one option.
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