Consider the flow of water between two parallel plates in wh

Consider the flow of water between two parallel plates in which one plate is fixed as shown. The distance between the plates is h, and the speed of the moving plate is V. A person wishes to calculate the pressure difference between the plates and applies the Bernoulli equation between points 1 and 2, z_1 + p_1/gamma + v^2_1/2g = z_2 + p_2/gamma +v^2_2/2g and concludes that p_1 - p_2 = gamma (z_2 - z_1) + p(V^2_2/2 = gamma h + p(V^2/2 Is it correct? Provide the reason for your answer.

Solution

No.

1. Bernoulli\'s Equation can only be applied along the stream line, whereas in the picture the points taken for energy calculations are perpendicular to the stream line.

2. Also, Bernoulli\'s equation is valid under the only body force as gravity, but here the fluid is also experiencing viscous forces.