Journal
APPLIED MATHEMATICAL MODELLING
Volume 40, Issue 1, Pages 315-328Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2015.04.043
Keywords
Peristalsis; Williamson fluid; Heat transfer; Mass transfer; Hall effect; Joule heating
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This paper deals with the peristaltic flow of an incompressible, electrically conducting Williamson fluid in a symmetric planner channel through a porous medium with heat and mass transfer. Hall effects, viscous dissipation and Joule heating are taken into consideration. The non linear partial differential equations that govern that model were simplified under assumptions of long wavelength and low Reynolds number. Then a regular perturbation technique in the Weissenberg number (We << 1) was applied to obtain a closed form expressions for stream function, axial pressure gradient, temperature and concentration profiles. The influence of various embedded parameters on the flow were plotted through a set of graphs and discussed. (C) 2015 Elsevier Inc. All rights reserved.
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