Question: ( 2 5 pts ) A steady, two - dimensional flow - field is defined by the velocity components u = - y x 2

(25

pts

)

A steady, two

-

dimensional flow

-

field is defined by the velocity components

u = - \frac{y}{x^{2} + y^{'}}

and

v = \frac{x}{x^{2} + y^{2}} .

Calculate the corresponding acceleration field. Obtain an equation for the streamlines and plot a few of them. Is this flow incompressible and irrotational? Explain.

(40

pts

)

Consider an upright Find the streamline function

( 2 5 pts ) A steady, two - dimensional flow -

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