Under laminar flow conditions, the average velocity, V , in a pipe of diameter D depends on the pressure gradient in the direction of flow, ∂p/∂x, and the dynamic viscosity, µ, of the fluid. Use...

Under laminar flow conditions, the average velocity, V , in a pipe of diameter D depends on the pressure gradient in the direction of flow, ∂p/∂x, and the dynamic viscosity, µ, of the fluid. Use dimensional analysis to determine the functional relationship between V and the influencing variables.