Energetic balance for the Rayleigh–Stokes problem of a second grade fluid

Dissipation, the power due to the shear stress at the wall and the boundary layer thickness corresponding to the Rayleigh–Stokes problem for a second grade fluid are calculated for three different motions. In each case, for α1 → 0, these quantities are going to those for a Newtonian fluid. The changing of the kinetic energy with time as well as some comparisons with results proceeding from Teipel’s solution are also presented.