Engineering Sciences
GATE XE Bernoulli’s Equation and its Applications, Potential Flows PYQs
Build your understanding with focused practice from past exam papers.
How to practice Bernoulli’s Equation and its Applications, Potential Flows
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–10 of 34. Imported answers require independent review unless marked reviewed.
Question 25
Open questionXE-BMCQ1 markNeeds review
Three different siphons steadily discharge water at velocities
,
, and
, as shown in the figure. The tubes of the siphons are of same diameter. If the frictional losses are neglected, which one of the following options is correct?In the figure,
is acceleration due to gravity;
,
, and
are different heights. 
Your answerChoose one option.
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Open questionXE-BNAT1 markNeeds review
A piezometer and a Pitot tube are tapped into a horizontal water pipe, as shown in the figure, where
,
and
. Consider the flow to be steady, laminar, and incompressible. Assume the density of water as
and acceleration due to gravity as
. The water velocity
(in
) at the center of the pipe is ______ (rounded off to one decimal place) 
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Open questionXE-BMCQ2 marksNeeds review
A two-dimensional source flow (with stream function,
) is placed at the origin in a uniform flow (with stream function,
). Here, the strength of the source is
and the freestream velocity is
. The velocity components
and
of the combined flow in
- and
-directions, respectively, areYour answerChoose one option.
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Open questionXE-BMCQ1 markNeeds review
A doublet is the resulting flow pattern when a sink and a source of equal strength are brought together.
Which one of the following options correctly represents the nature of the product of the strength and the distance between them during approach?
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 34
Open questionXE-BMCQ2 marksNeeds review
Figure shows the steady and incompressible flow of a fluid in the direction of arrow from section A to section D. Three pipe connectors are to be placed between sections A and D having Total Energy Line (TEL) and Hydraulic Grade Line (HGL) as depicted in the figure. Consider
,
,
,
,
, and
denote gravitational acceleration, pressure, volume flow rate, velocity, specific weight, and elevation of centerline of the pipe connectors from the datum, respectively.Which one of the following options, in sequence, indicates the correct nature of connectors between sections A and B, B and C, and C and D in the direction of flow?
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 42
Open questionXE-BNAT2 marksNeeds review
Water flows through a pipe of diameter 20 cm at a flow rate of 0.025 m
/s. A pitot-static tube is placed at the centre of the pipe and indicates the pressure difference of 5 cm of water column. Theoretical velocity measured through pitot-static tube when multiplied with velocity coefficient
gives the actual velocity of the flow. If the mean velocity in the pipe is 90% of the actual velocity at the centre of the pipe and the gravitational acceleration is 10 m/s
, the value of
(rounded off to 2 decimal places) is ________Log in to check the answer
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Open questionXE-BNAT2 marksNeeds review
The velocity potential function in a two-dimensional flow field is given by
m²/s where
per second and
per second. The magnitude of the velocity (in m/s, answer in integer) at
m,
m is _____.Log in to check the answer
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Open questionXE-BNAT2 marksNeeds review
Consider the incompressible, steady and irrotational flow through a concentric reducer in a horizontal pipeline. The pipe diameter reduces from
cm to
cm as shown in figure. The pressure at position 1 and position 2 of the reducer is
kPa and
kPa, respectively. The specific weight of fluid is 7 kN/m³. Acceleration due to gravity is 10 m/s².
Neglecting frictional effects, the mass flow rate (in kg/s, rounded off to two decimal places) of the fluid through the reducer is _____.
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Open questionXE-BMCQ1 markNeeds review
Match the following measuring instruments with the appropriate figures.
I – Pitot probe
II – Pitot-static probe
III – Piezometer
Your answerChoose one option.
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Open questionXE-BMCQ1 markNeeds review
An inviscid steady incompressible flow is formed by combining a uniform flow with velocity
and a clockwise vortex of strength
at the origin, as shown in the figure. Velocity potential (
) for the combined flow in polar coordinate
is
Your answerChoose one option.
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