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
A mathematical model is developed for 2-D laminar, incompressible, electrically conducting
non-Newtonian (Power-law) fluid boundary layer flow along an exponentially stretching
sheet with power-law slip velocity conditions in the presence of Hall currents, transverse
magnetic field and radiative flux. The secondary flow has been induced with appliance of
Hall current. The distinguish features of Joule heating and viscous dissipation are included in
the 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 partial
differential equations describing the flow (mass, primary momentum, secondary momentum
and energy conservation) are transformed into non-linear ordinary differential equations by
employing local similarity transformations. The non-dimensional nonlinear formulated set of
equations is numerically evaluated with famous shooting algorithm by using MATLAB
software. The validation of simulated numerical results has been completed with generalized
differential quadrature (GDQ). Extensive visualization of primary and secondary velocities
and temperature distributions for the effects of the emerging parameters is presented for both
pseudo-plastic fluids (n=0.8) and dilatant fluids (n=1.2). The study is relevant to the
manufacturing transport phenomena in electro-conductive polymers (ECPs)