Choudhari, Rajashekhar and Manjunatha, G and Vaidya, Hanumesh and Prasad, K V and Khan, Sami Ullah (2020) Rheological effects on peristaltic transport of Bingham fluid through an elastic tube with variable fluid properties and porous walls. Defect and Diffusion Forum. ISSN 1012-0386

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Abstract

The peristaltic pumping of non‐Newtonian material configured by a tube is quite interesting phenomenon to examine the behavior of physiological fluids. The present paper investigates the role of variable visc�osity and thermal conductivity on the peristaltic mechanism of Bingham fluid in an elastic tube with porous and convective boundary conditions. The long wavelength and small Reynolds number approxima�tion is used to obtain the analytical solutions for ve�locity, plug flow velocity, streamlines, flow rate, and temperature. The theoretical determination of flux is calculated using the equilibrium condition, and an application to flow through an artery is highlighted by using the tension relation in an elastic tube. It is observed that the rate of flow within the elastic tube declined with variation of variable viscosity. An en�hanced temperature distribution near the tube axis has been observed with increment of variable visc�osity. An increasing influence of the porous para�meter in the bolus size can also be seen from the streamlines plotted.

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