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Heat Transfer Research
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ISSN Imprimir: 1064-2285
ISSN On-line: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2019025622
Forthcoming Article

Study of heat transfer on Eyring-Powell fluid model propagating peristaltically through a complaint rectangular channel

Muhammad Mubashir Bhatti
Shanghai Institue of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
Arshad Riaz
University of Education, Lahore Jauharabad Campus, Jauharabad, Pakistan
R. Ellahi
Department of Mathematics and Statistics, FBAS, IIUI, Islamabad, Pakistan; Department of Mathematics, Faculty of Science, Taibah University, Al-Madeenah, Saudi Arabia
Marin Marin
Department of Mathematics, University of Brasov, Romania


Heat transfer process in a human body (i.e., tissues) consists of a complicated process such as in the pores of membranes, heat transfer occurs due to the perfusion of an arterial-venous blood, heat condition in tissues, generation of metabolic heat, emission of electromagnetic radiation from cell phones and external interaction. Considering human thermoregulation system and thermotherapy, work is aimed at describing the impact of bioheat and mass transfer analysis of the peristaltic motion of an Eyring-Powell (“non-Newtonian”) fluid in three-dimensional rectangular cross section. Compliant boundary walls are taken into account. Using linear momentum, concentration, laws of mass and energy equation have been used to model the governing flow. Firstly, mathematical modeling is performed, and then solutions are obtained by perturbation technique. Using 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 well-established fact that mass and bioheat transfer problems in the presence chemical reaction are substantial in multiple processes such as geothermal reservoirs, thermal insulation, an evaporation process, drying, enhanced oil recovery and cooling of nuclear reactors. The results obtained for the flow of Eyring-Powell fluid model reveal many engrossing behaviors that provide a further dimension to study the mass and bioheat transfer problems.