Effects of heat and mass transfer on peristaltic flow in a non-uniform rectangular duct

The model of bioheat transfer in tissues has attracted many researchers due to its application in thermotherapy and human thermoregulation system. Currently bioheat is considered as a heat transfer in human body. In view of this the influence of heat and mass transfer on peristaltic flow in a non-uniform rectangular duct is studied under the consideration of long wavelength ð0 k ! 1Þ and low Reynolds number ðRe ! 0Þ. The flow is examined in wave frame of reference moving with the velocity c. Mathematical modeling is based upon the laws of mass, linear momentum, energy and concentration. Analysis is also presented for Prandtl number Pr, Eckert number E, Schmidt number Sc and Soret number Sr. The influence of various emerging parameters of interest is seen for both two and three dimensional graphs. Numerical integration is used to analyze the novel features of volumetric flow rate, average volume flow rate, instantaneous flux and pressure gradient. The trapping bolus phenomena is also presented through stream lines. 2013 Elsevier Ltd. All rights reserved.