Hall current effects on electro-magneto-dynamic peristaltic flow of an Eyring–Powell fluid with mild stenosis through a uniform and non-uniform annulus

Abstract

The main target of this paper is to discuss the impacts of a vertical alternating current of electric field as well as the Hall current on peristaltic flow of an Eyring–Powell fluid. The streaming occurs via a uniform and non-uniform annulus having mild stenosis. The actions of radiative heat transfer and chemical reactions are imposed. The slip condition is applied for the velocity distribution. Meantime, the convective conditions are selected to describe the heat and mass transfer. Both the impacts of viscous dissipation and radiation in energy expression are assumed. Soret and Dufour feature yield the coupled differential systems. The presumptions of the long-wavelength and low Reynolds number are employed to approximate the governing equations of motion. The analytical solutions of these equations are based on utilizing the Homotopy perturbation technique. The effects of various physical parameters of the problem are discussed and drawn graphically via a set of figures. It may be noticed that the axial velocity increases with the reduction of electromagnetic parameters and Hartmann number. However, both of the Hall current parameter and the electrical Rayleigh number boost the fluid velocity. As well, it is observed that the Brickmann number and Dufour number give rise to the fluid temperature. Meanwhile, reverse effect is detected towards concentration for both of Schmidt number and chemical reaction parameter. The dual role effects of both the adverse temperature and the electrical Rayleigh number have been revealed for the electric potential distribution. The present consideration is very substantial in many medical implementations, such as the depiction of the gastric juice motion in the small intestine when an endoscope is inserted through it.