Part $3$: Derivation, Analysis, and Problem$-$Solving Component

Problem $24.(16$ Points$)$ A Couette flow configuration is shown in figure. It was observed that the $x-$velocity of the fluid between the plates $(u)$ is a function of the dynamic viscosity $,$ the top plate speed $V,$ the fluid density $,$ the distance between the plates, $h,$ and the vertical distance $y.$ Using the Buckingham Pi theorem and taking the repeating parameters as $,V,$ and $h,$ derive a dimensionless relationship between $u$ and the given parameters.