Problem

The velocity of a fluid particle moving along a horizontal streamline that coincides wit...

The velocity of a fluid particle moving along a horizontal streamline that coincides with the x axis in a plane, twodimensional incompressible flow field was experimentally found to be described by the equation u = x2. Along this steamline determine an expression for (a) the rate of change of the v component of velocity with respect to y, (b) the acceleration of the particle, and (c) the pressure gradient in the x direction. The fluid is Newtonian.

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