Question

Which one of the following can be a set of velocity components of a two-dimensional flow?

• A. $u=x+yandv=x^2+y^2$
• B. $u=x+yandv=x-y$
• C. $u=xyandv=\frac{x}{y}$
• D. $u=x^2+y^{2}andv=x^2-y^2$

Answer 1

The correct option is B

$u=x+yandv=x-y$

(b)
For velocity components of a two or three dimensional flow continuity equation

$\frac{\partial u}{\partial x}+\frac{\partial v}{\partial y}+\frac{\partial w}{\partial z}=0$