Hall current, viscous and Joule heating effects on steady radiative 2-D magneto-power-law polymer dynamics from an exponentially stretching sheet with power-law slip velocity : a numerical study

Abstract

A mathematical model is developed for 2-D laminar, incompressible, electrically conductingnon-Newtonian (Power-law) fluid boundary layer flow along an exponentially stretchingsheet with power-law slip velocity conditions in the presence of Hall currents, transversemagnetic field and radiative flux. The secondary flow has been induced with appliance ofHall current. The distinguish features of Joule heating and viscous dissipation are included inthe model since they are known to arise in thermal magnetic polymeric processing.Rosseland’s diffusion model is employed for radiation heat transfer. The non-linear partialdifferential equations describing the flow (mass, primary momentum, secondary momentumand energy conservation) are transformed into non-linear ordinary differential equations byemploying local similarity transformations. The non-dimensional nonlinear formulated set ofequations is numerically evaluated with famous shooting algorithm by using MATLABsoftware. The validation of simulated numerical results has been completed with generalizeddifferential quadrature (GDQ). Extensive visualization of primary and secondary velocitiesand temperature distributions for the effects of the emerging parameters is presented for bothpseudo-plastic fluids (n=0.8) and dilatant fluids (n=1.2). The study is relevant to themanufacturing transport phenomena in electro-conductive polymers (ECPs)