For one dimensional flow of an incompressible fluid in unsteady state in x-direction, the continuity equation is given by_______________?
Correct answer: A. ∂u/∂x = 0
- A. ∂u/∂x = 0
- B. ∂(ρu)/∂x = 0
- C. (∂u/∂x) = - (∂ρ/∂t)
- D. ∂ρ/∂t = 0
Explanation
For incompressible flow, density is constant, so the one-dimensional continuity equation reduces to ∂u/∂x = 0. Unsteadiness does not alter this result when there is only one flow direction.
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