Determine the third velocity component such that continuity equation is satisfied if two components are u=2y2, w=2xyz.

Determine the third velocity component such that continuity equation is satisfied if two components are u=2y2, w=2xyz. Correct Answer -4xy-x2y+f(y,z)

The continuity equation for incompressible is du/dx+dv/dy+dw/dz = 0. Here du/dx=0 and w=2xy. On solving by integrating, we get v = -4xy-x2y+f(y,z).
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