Magnetohydrodynamic peristaltic flow of Williamson nanofluid with heat and mass transfer through a non-Darcy porous medium

In this work, the peristaltic motion of a Williamson nanofluid through a non-Darcy porous medium inside an asymmetric channel is investigated. The Hall current, viscous dissipation and Joule heating are considered. The problem is modulated mathematically by a set of nonlinear partial differential equations which describe the conservation of mass, momentum, energy and concentration of nanoparticles. The non-dimensional form of these equations is simplified under the assumption of long wavelength and low Reynolds number. Then, resulting equations of coupled nonlinear differential equations are then tackled numerically with appropriate boundary conditions by using NDSolve technique. Graphical results are presented for dimensionless velocity, temperature and concentration in order to illustrate the variations of various parameters of this problem on these obtained solutions.