Multiple choice

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

  1. u$\frac{\partial u}{\partial x}+v\frac{\partial u}{\partial y}$
  2. $U\frac{\partial U}{\partial X}+v\frac{\partial v}{\partial y}$
  3. u$\frac{\partial u}{\partial x}+v\frac{\partial u}{\partial y}$
  4. v$\frac{\partial u}{\partial x}+u\frac{\partial u}{\partial y}$
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Explanation