= pressure of the fluid, N/m2 = temperature of the fluid, OK = velocity component in x direction, m/s = velocity of upper plate, m/s F u U x = streamwise coordinate, m y = transverse coordinate, m Greek Letters A = eigenvalue K p = fluid density, kg/m3 e 7 Dimensionless Groups Ec M = Kummer's function n = flow behavior index Nu Pe Re Subscripts 0 = lower (stationary) plate 1 = upper (moving) plate i = entrance at x = 0 = fluid consistency, N sn/m2 = dimensionless temperature, ( T -TO)/( 2'1 -T O ) = shear stress in fluid, N/m2 = Eckert number, U 2 / c p (2'1 -To) = Nusselt number, -u(U/ay),J(To -Tb) = Peclet number, pcpU u/k = Reynolds number, p U2-" @/K