Two free vortices of equal strength, but opposite direction of rotation, are superimposed with a uniform flow as shown in Fig. 4 ý = -[±T/(27)] ln r. (a) Develop an equation for the x-component of velocity, u, at point P(x,y) in terms of Cartesian coordinates x and 4- 1. The stream functions for these two vorticies are y. (b) Compute the x-component of velocity at point A and show that it depends on the ratio T/H. Sketch and describe the flow then determine the stagnation points. •P(x, y) U H A H Figure (4)

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.3P: Evaluate the Nusselt number for flow over a sphere for the following conditions: D=0.15m,k=0.2W/mK,...
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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
Ų = -[±T(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 I'/H.
4-
1. The stream functions for these two vorticies are
Sketch and describe the flow then determine the stagnation points.
Plx, y)
U
H
Figure (4)
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 Ų = -[±T(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 I'/H. 4- 1. The stream functions for these two vorticies are Sketch and describe the flow then determine the stagnation points. Plx, y) U H Figure (4)
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