Abstract
This article deals with Sisko fluid flow exhibiting peristaltic mechanism in an asymmetric channel with sinusoidal wave propagating down its walls. The channel walls in heat transfer process satisfy the convective conditions. The flow and heat transfer equations are modeled and non-dimensionalized. Analysis has been carried out subject to low Reynolds number and long wavelength considerations. Analytical solution is obtained by using the regular perturbation method by taking Sisko fluid parameter as a perturbed parameter. The shear-thickening and shear-thinning properties of Sisko fluid in the present nonlinear analysis are examined. Comparison is provided between Sisko fluid outcomes and viscous fluids. Velocity and temperature distributions, pressure gradient and streamline pattern are addressed with respect to different parameters of interest. Trapping and pumping processes have also been studied. As a result, the thermal analysis indicates that the implementation of a rise in a non-Newtonian parameter, the Biot numbers and Brinkman number increases the thermal stability of the liquid.
Highlights
Peristaltic transportation of fluid via distensible tubes/channels is a crucial problem in modern fluid dynamics because of its strong role in physiological and technological processes, such as, intra-urine fluid motion, blood circulation in blood vessels, food swallowing via the esophagus, chyme motion through the intestines, semen transfer through efferentes, toxic and hygienic liquid transport, finger and roller pumps, etc
Since the initial investigations of Latham [1] and Shapiro et al [2], several theoretical and experimental attempts regarding peristalsis have been made through abrupt changes in geometry and realistic assumptions including long wavelength, low Reynolds number, small wave number, small amplitude ratio etc
Some recent studies [26,27,28,29,30,31] are observed in which the study of non-Newtonian fluid flows with peristalsis are conducted in the vicinity of convective conditions
Summary
Peristaltic transportation of fluid via distensible tubes/channels is a crucial problem in modern fluid dynamics because of its strong role in physiological and technological processes, such as, intra-urine fluid motion, blood circulation in blood vessels, food swallowing via the esophagus, chyme motion through the intestines, semen transfer through efferentes, toxic and hygienic liquid transport, finger and roller pumps, etc. No doubt heat transfer in living being’s tissue involves metabolic heat generation, conductive heat transfer in tissues, pumping of arterial blood across tissue pores and external interaction such as radiation emitted from mobile phones Motivated by such facts, various researchers have analyzed the peristaltic flow of different fluids models in a channel/tube with heat transfer. Heat transfer with convective boundary conditions is implicated in mechanisms like gas turbines, thermal energy storage, nuclear power plants etc In this context, some recent studies [26,27,28,29,30,31] are observed in which the study of non-Newtonian fluid flows with peristalsis are conducted in the vicinity of convective conditions. The purpose of present study is to address the peristaltic transport of Sisko fluid in an asymmetric channel with convective conditions. A detailed discussion around sundry parameters involved in the flow and temperature equations is presented
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