Combined effects of Forchheimer, Soret and Dufour on MHD mixed convective dusty viscoelastic Couette flow in an irregular channel

Abstract

PurposeA study on convective aspects was carried out on a Couette flow in an irregular channel by applying a constant uniform magnetic field parallel to the channel flow.Design/methodology/approachThe dynamic study of such a flow resulted in highly nonlinear coupled partial differential equations. To solve these partial differential equations analytically, regular perturbation method was invoked for velocity, temperature and concentration with a combined parameter of Soret and Forchheimer. The numerical computational results have been extracted for various nondimensional parameters with regard to fluid and particle flow as well as for temperature and solute concentration.FindingsThe current article presents a novel approach to assess the effects of drag force as well as the diffusion-based interactions between the velocity, temperature and concentrations with the aid of Soret and Dufour on two-dimensional MHD mixed with a dusty viscoelastic fluid.Originality/valueThe results found are in good agreement with the earlier studies in the absence of nonlinear effect of Forchheimer model.