Abstract
This paper looks at the effects of radiative heat transfer on the peristaltic transport of a Sisko fluid in an asymmetric channel with nonuniform wall temperatures. Adopting the lubrication theory, highly nonlinear coupled governing equations involving power law index as an exponent have been linearized and perturbation solutions are obtained about the Sisko fluid parameter. Analytical solutions for the stream function, axial pressure gradient, axial velocity, skin friction, and Nusselt number are derived for three different cases (i.e., shear thinning fluid, viscous fluid, and shear thickening fluid). The effects of Grashof number, radiation parameter, and other configuration parameters on pumping, trapping, temperature, Nusselt number, and skin friction have been examined in detail. A good agreement has been found for the case of viscous fluid with existing results.
Highlights
Inherited mechanism of peristalsis has been accorded to attention due to its enormous implications in physiological and industrial applications
The main purpose of this paper is to study the effects of radiative heat transfer
The purpose of this section is to describe the influence of various interesting parameters (i.e., Grashof number Gr, radiation parameter N, amplitude ratio a, channel width ratio d, and phase difference φ) on the pressure rise ΔPλ, axial pressure gradient dp/dx, axial velocity u, streamline patterns, temperature η, Nusselt number Nu, and skin friction τ
Summary
Inherited mechanism of peristalsis has been accorded to attention due to its enormous implications in physiological and industrial applications. Peristalsis is a natural phenomenon responsible for the transportation and digestion of food in the living bodies [1] It is controlled by the involuntary sinusoidal displacements running along the tract boundaries and pumps the contents from the area of lower pressure to area of higher pressure [2]. This mechanism has marvelously revolutionized the industrial applications as well. Most of the realistic physiological and industrial fluids are non-Newtonian in nature as mentioned by the experimental study of Joseph [3], for instance, food bolus in oesophagus, chyme in stomach and intestines, reproductive and glandular secretions, and flow of metal alloys in automobiles and machines and many others. Few recent investigations on peristaltic flow with heat transfer include the work through the studies [4,5,6,7,8,9,10,11]
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