Unsteady MHD Blasius and Sakiadis flows with variable thermal conductivity in the presence of thermal radiation
Date
2019-08
Authors
Shateyi, Stanford
Muzara, Hillary
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
We consider the unsteady laminar two-phase (Blasius and Sakiadis) flows filed with
porous media under the combined effects of Brownian motion and thermophoresis as
thermal radiation. Variable thermal conductivity is also considered in this study. The
cartesian coordinate has the origin at the leading edge with the x axis extending along the
sheet in the flow direction and the y axis is measured perpendicular to the flow. The
unsteady fluid flow, heat and mass transfer start at time zero and the sheet is being
stretched with velocity U(x,t), along the x axis while the origin is kept fixed. The
temperature and the concentration fields of the sheet are respectively, Tw(x; t) and Cw(x;
t) and are summed to be linear functions of x. The thermo-physical properties of the sheet
and the ambient fluid are assumed to be constant except density variations and thermal
conductivity which we assume to be linearly vary with temperature. The nonlinear partial
differential equations are transformed into a system of nonlinear dimensionless ordinary
differential equations using suitable similarity transformations. The resultant nonlinear
differential equations are then numerically solved using recently developed numerical
methods.
Description
Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenya
Keywords
Unsteady MHD Blasius, Sakiadis flows, Viscous dissipation