Multiple choice

For an incompressible flow field, $\bar{V}$, which one of the following conditions must be satisfied?

  1. $\nabla . \bar{V} = 0$
  2. $\nabla \times \bar{V} = 0$
  3. $(\bar{V} . \nabla) \bar{V} = 0$
  4. $\frac{\partial \bar{V}}{\partial t} + (\bar{V} . \nabla) \bar{V} = 0$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

For an incompressible flow, density remains constant so $$\nabla . \bar{V}=0$$

Keep practicing — related questions