question_answer

In a two-dimensional velocity field with velocities u and v along the x and y directions respectively, the convective acceleration along the x-direction is given by

A)  \[u\frac{\partial u}{\partial x}+v\frac{\partial u}{\partial y}\]       

B)  \[u\frac{\partial u}{\partial x}+v\frac{\partial u}{\partial y}\]

C)  \[u\frac{\partial v}{\partial x}+v\frac{\partial u}{\partial y}\]                   

D)  \[v\frac{\partial u}{\partial x}+u\frac{\partial u}{\partial y}\]