Exact solutions of the Rayleigh–Stokes problem for a heated generalized second grade fluid in a porous half-space

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

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. Som...

Exact solutions for the flow of a generalized second grade due to a Longitudinal quadratic time-dependent shear stress

EXACT SOLUTIONS FOR FLOW OF A SISKO FLUID IN PIPE

By means of He's homotopy perturbation method (HPM) an approximate solution of velocity eld is derived for the ow in straight pipes of non-Newtonian uid obeying the Sisko model. The nonlinear equations governing the ow in pipe are for- mulated and analyzed, using homotopy perturbation method due to He. Furthermore, the obtained solutions for velocity eld is graphically sketched...

exact solutions for the flow of a generalized second grade due to a longitudinal quadratic time-dependent shear stress

Numerical treatment for nonlinear steady flow of a third grade‎ fluid in a porous half space by neural networks optimized

In this paper‎, ‎steady flow of a third-grade fluid in a porous half‎ space has been considered‎. ‎This problem is a nonlinear two-point‎ boundary value problem (BVP) on semi-infinite interval‎. ‎The‎ solution for this problem is given by a numerical method based on the feed-forward artificial‎ neural network model using radial basis activation functions trained with an interior point method‎. ...