Two free vortices of equal strength, but opposite direction of rotation, are superimposed with a uniform flow as shown in Fig. 4 V = -[±r(2#)] In r. (a) Develop an equation for the x-component of velocity, u, at point P(x,y) in terms of Cartesian coordinates x and y. (b) Compute the x-component of velocity at point A and show that it depends on the ratio T/H. 4- 1. The stream functions for these two vorticies are %3D Sketch and describe the flow then determine the stagnation points. •Plx, y) U H [A Figure (4)
Two free vortices of equal strength, but opposite direction of rotation, are superimposed with a uniform flow as shown in Fig. 4 V = -[±r(2#)] In r. (a) Develop an equation for the x-component of velocity, u, at point P(x,y) in terms of Cartesian coordinates x and y. (b) Compute the x-component of velocity at point A and show that it depends on the ratio T/H. 4- 1. The stream functions for these two vorticies are %3D Sketch and describe the flow then determine the stagnation points. •Plx, y) U H [A Figure (4)
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![Two free vortices of equal strength, but opposite direction
of rotation, are superimposed with a uniform flow as shown in
Fig. 4
V = -[±T(27)] In r. (a) Develop an equation for the x-component
of velocity, u, at point P(x,y) in terms of Cartesian coordinates x
and y. (b) Compute the x-component of velocity at point A and
show that it depends on the ratio I/H.
4-
t. The stream functions for these two vorticies are
Sketch and describe the flow then determine the stagnation points.
y
•P(x, y)
U
H
Figure (4)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0cfacab0-e8d4-4285-9691-5fe924e7aad6%2Fe93966fc-84e0-48b7-bb8b-64284def66c7%2Fs03nyed_processed.png&w=3840&q=75)
Transcribed Image Text:Two free vortices of equal strength, but opposite direction
of rotation, are superimposed with a uniform flow as shown in
Fig. 4
V = -[±T(27)] In r. (a) Develop an equation for the x-component
of velocity, u, at point P(x,y) in terms of Cartesian coordinates x
and y. (b) Compute the x-component of velocity at point A and
show that it depends on the ratio I/H.
4-
t. The stream functions for these two vorticies are
Sketch and describe the flow then determine the stagnation points.
y
•P(x, y)
U
H
Figure (4)
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