How to practice concept:uniform-flow

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 34

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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, are
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Question 27

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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
Diagram for Engineering Sciences question 27

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Question 33

Open question
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A two-dimensional flow field is described by a combination of a source of strength

at the origin and a uniform flow,

, in the positive

-direction such that the velocity potential is given by

The stagnation streamline is shown in the figure. Find the distance

.
Diagram for Engineering Sciences question 33

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Question 10

Open question
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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,
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Question 19

Open question
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A uniform flow with a velocity of 2 m/s in the

-direction approaches a line source placed on the

-axis at a distance of 0.1 m from the origin. If the origin is the stagnation point in the resulting flow, the strength of the source (in

, rounded off to 2 decimal places) is ______.

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Question 3

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The inviscid flow past a rotating circular cylinder can be generated by the superposition of
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Question 20

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In a two-dimensional potential flow, a point source is located at the origin (

) as shown in the figure. The strength of the point source is 2 cm²/s. A uniform flow with velocity 1 cm/s is approaching towards the point source at an angle of 30° from the horizontal axis. What is the distance (cm) of the stagnation point in the flow field from the point source?
Diagram for Engineering Sciences question 20

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