Topic: Fluid Mechanics
The general equation of continuity for three-dimensional flow of a compressible fluid for steady flow is (where u, v, w are components of velocity in x, y and z directions respectively)
- A. du/dx + dv/dy + dw/dz = 0
- B. du/dx = dv/dy = dw/dz = 0
- C. du/dx + dv/dy + dw/dz = 1
- D. du/dx + dv/dy + dw/dz = u.v.w.
Answer: A. du/dx + dv/dy + dw/dz = 0
Explanation: For a steady incompressible flow, the continuity equation reduces to du/dx + dv/dy + dw/dz = 0. (Note: The question states compressible fluid but options are provided for incompressible flow, matching option A).