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Question
X-component of velocity in a two-dimensional incompressible flow is given by u = 2y2 + 6xy. If the Y-component of velocity, v is zero, at y = 0, the expression for Y-component of velocity is given by
A.
v = 3y2 + f(y)
B.
v = - 3y2 + f(y)
C.
v = 3y2 + f(x)
D.
v = - 3y2 + f(x)
Answer ( Option D)

v = - 3y2 + f(x)

Solution

For an incompressible two-dimensional fluid the equation of continuity is-

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