Consider fully developed Couette flow—flow between two infinite parallel plates separated by distance h, with thetop plate moving and the bottom plate stationary as illustrated in Fig. P7–56. The flow is steady, incompressible, and two-dimensional in the xy-plane. Use the method of repeating variables to generate a dimensionless relationship for the xcomponent of fluid velocity u as a function of fluid viscosity μ, top plate speed V, distance h, fluid density rho, anddistance γ, Show all your work.

Respuesta :

Answer:

The flow is two dimensional

So velocity = (dv/dx-du/dy)k

= (0-v/h)k

= (-v/h)k

Velocity is non-zero, so flow is rotational.

But velocity is z- direction is -v/h

Velocity is negative so fluid particles rotate in clockwise direction.