Velocity Field Between Two Plates: 1 Fixed, 1 Moving with Sinusoidal Motion u=Asin(omega*t)
Two infinite parallel plates are separated by a distance h. The space between them is filled with a Newtonian fluid: density (rho), viscosity (mu). The lower plate is fixed, but the upper plate executes a sinusoidal motion. (U=A*sin(omego*t) Calculate the velocity field between the plates, and plot some representative profiles.
coordinates x-dir along plate
y-dir normal to plate