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GATE Exam Questions - Engineering

Q1:

X-component of velocity in a 2-D incompressible flow is given by u = y2 + 4 xy. If Y-com-ponent of velocity 'v' equals zero at y = 0, the expression for 'v' is given by

A 4y

B 2y2

C -2y2

D 2xy

ANS:C - -2y2

Du/dx +dv/dy = 0.
D/dx (y^2 +4xy) + d/dy (v-unknown) = 0,
4y + d/dy (v-unknown) =0,
d/dy (v-unknown) = - 4y,
Integrate on both sides wrt y.
V= - 2y^2.