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UPSC Civil Service Exam Questions - Engineering

Q1:

In a three-dimensional incompressible flow, the velocity component in the X and Y directions are u = 2x2 + z2 + 6 and v = y2 + 2z2 + 7. What is the velocity component in the z-direction ?

A 2xz + 2yz + f(x, y)

B 2xz + 4yz + f(x, y)

C 4xz + 2yz + f(x, y)

D - 4xz - 2yz + f(x, y)

ANS:D - - 4xz - 2yz + f(x, y)

I think D is correct as per the cartesian co-ordinates 3D continuity equation.