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Determine the third velocity component such that continuity equation is satisfied if two components are u=x2+y2+z2, v=xy2 – yz2 + xy

Determine the third velocity component such that continuity equation is satisfied if two components are u=x2+y2+z2, v=xy2 – yz2 + xy Correct Answer -3xz-2xyz+z3/3+f(y,z)

The continuity equation for incompressible is du/dx+dv/dy+dw/dz = 0. Here du/dx=2x and v=2xy-z2 On solving by integrating, we get w = -3xz-2xyz+z3/3+f(y,z),

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