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.

Topic practice 7 questionsPage 1 of 1

Question 32

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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
Diagram for Engineering Sciences question 32

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Question 27

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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?
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Question 35

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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?
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Question 7

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The volume flow between any two points not lying on the same stream in a flow field is equal to
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Question 13

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The stream function of a flow field is

where

is a constant. Which one of the following represents the vorticity?
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Question 6

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If the stream function (

) for a two-dimensional incompressible flow field is given as

, the corresponding velocity field is
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Question 17

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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

?
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