Study of heat and mass transfer in the eyring-powell model of fluid propagating peristaltically through a rectangular compliant channel

The heat transfer process in a human body (i.e., tissues) is a complicated process consisting of heat transfer in the pores of membranes, as perfusion of an arterial-venous blood, heat transfer in tissues, generation of metabolic heat, emission of electromagnetic radiation from cell phones, and external interaction. Considering the human thermoregulation system and thermotherapy, the work is aimed at describing the impact of bioheat and mass transfer in peristaltic motion of an Eyring-Powell ("non-Newtonian") fl uid in three-dimensional rectangular cross section. Compliant boundary walls are taken into account. Linear momentum and concentration laws in mass and energy equations have been used to model the governing fl ow. Firstly, mathematical modeling is performed, and then solutions are obtained by a perturbation technique. A lubrication approach (i.e., long wavelength and low Reynolds number) has been used to simplify the modeled equations. The analytical results of all the novel parameters are presented mathematically and discussed graphically. Trapping phenomena are also analyzed by drawing streamlines. Moreover, it is now a well-established fact that mass and bioheat transfer problems in the presence of a chemical reaction are substantial in multiple processes occurring in geothermal reservoirs, thermal insulation, evaporation, drying, enhanced oil recovery, and cooling of nuclear reactors. The results obtained for the fl ow of Eyring-Powell fl uid model reveal many engrossing behaviors that provide a further dimension to study the mass and bioheat transfer problems.