Numerical simulations for mixed convective hydromagnetic peristaltic flow in a curved channel with joule heating features

Abstract

This article investigates the flow and mass transportation characteristics in the peristaltic motion configured by a heated curved channel. The coupling between momentum and energy equation is achieved using the Boussinesq approximation. The equations describing the flow and heat/mass transfer are developed using curvilinear coordinates. A reduction of these equations is made based on the lubrication approximation. The reduced linear ordinary differential equations are integrated numerically using an implicit finite difference scheme. The effects of thermal and concentration Grashof numbers, Hartmann number, Brinkmann number, and curvature parameter on longitudinal velocity, pressure rise, temperature, and mass concentration are analyzed in detail. It is found that the temperature field is enhanced with an increase in the thermal Grashof number and Hartmann number, while the mass concentration decreases with an increase in the thermal Grashof number and Hartmann number. The flow patterns in the channel illustrating the effects of Grashof numbers, Brinkmann number, and Hartmann number are also displayed. It is observed that flow movements become intense for greater values of Brinkman number, thermal Grashof number, and Hartmann number.