Engineering Sciences
GATE XE concept:stream-function PYQs
Build your understanding with focused practice from past exam papers.
How to practice concept:stream-function
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 1–7 of 7. Imported answers require independent review unless marked reviewed.
Question 32
Open questionXE-BMCQ2 marksNeeds review
An incompressible fluid flows between a pair of infinite plates separated by a distance
. The top plate is moving with a constant velocity
, whereas the bottom plate is stationary, as shown in the figure. The difference of the stream functions (
) at the two plates for a laminar and fully-developed flow is equal to 
Your answerChoose one option.
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Open questionXE-BMCQ1 markNeeds review
Conservation of mass for a steady axisymmetric flow field in the cylindrical
coordinates is:
Here,
and
are radial and axial components of velocity, respectively.
Which one of the following options is correct if
is the stream function?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 35
Open questionXE-BMSQ2 marksNeeds review
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.
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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 7
Open questionXE-BMCQ1 markNeeds review
The volume flow between any two points not lying on the same stream in a flow field is equal to
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 13
Open questionXE-BMCQ2 marksNeeds review
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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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 6
Open questionXE-BMCQ1 markNeeds review
If the stream function (
) for a two-dimensional incompressible flow field is given as
, the corresponding velocity field isYour 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 17
Open questionXE-BMCQ1 markNeeds review
The stream function (
) of a velocity field at any location
is given as,
. What is the rate of rotation of a fluid element located at
?Your answerChoose one option.
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