Multiple choice

The velocity components in the x and y directions of a two dimensional potential flow are u and v, respectively, then - $\frac{\partial u}{\partial x}$ is equal to

  1. $\frac{\partial v}{\partial x}$
  2. $-\frac{\partial v}{\partial x}$
  3. $\frac{\partial v}{\partial y}$
  4. $-\frac{\partial v}{\partial x}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\text{We know that potential flow(ideal flow)satisfy the continuity equation.}\\ \text{The continuity equation for two dimensional flow for incompressible fluid is given by,}\\ \hspace{3cm}\frac{\partial u}{\partial x}+\frac{\partial v}{\partial y}=0 \\ \hspace{4cm}\frac{\partial u}{\partial x}=-\frac{\partial v}{\partial y}$

Keep practicing — related questions