Exact Solutions of Rayleigh-Stokes Problem for Heated Generalized Maxwell Fluid in a Porous Half-Space

Abstract EN

The Rayleigh-Stokes problem for a generalized Maxwell fluid in a porous half-space with a heated flat plate is investigated.

For the description of such a viscoelastic fluid, a fractional calculus approach in the constitutive relationship model is used.

By using the Fourier sine transform and the fractional Laplace transform, exact solutions of the velocity and the temperature are obtained.

Some classical results can be regarded as particular cases of our results, such as the classical solutions of the first problem of Stokes for Newtonian viscous fluids, Maxwell fluids, and Maxwell fluids in a porous half-space.