Influence of convective conditions on the peristaltic mechanism of power-law fluid through a slippery elastic porous tube with different waveforms

Manjunatha, G and Rajashekar, C and Vaidya, Hanumesh and Prasad, K V and Viharika, J U (2019) Influence of convective conditions on the peristaltic mechanism of power-law fluid through a slippery elastic porous tube with different waveforms. Multidiscipline Modeling in Materials and Structures. ISSN 15736105

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Abstract

Purpose – The purpose of this paper is to emphasize the peristaltic mechanism of power-law fluid in an elastic porous tube under the influence of slip and convective conditions. The effectsQ2 of different waveforms on the peristaltic mechanism are taken into account. Design/methodology/approach – Thegoverningequationsarerendereddimensionless usingthesuitable similarity transformations. The analytical solutions are obtained by using the long wavelength and small ReQ1 ynold’s number approximations. The expressions for velocity, flow rate, temperature and streamlines are obtained and analyzed graphically. Furthermore, an application to flow through an artery is determined by usinQ3 g a tensile expression given by Rubinow and Keller. Findings–Theprincipalfindingsfromthepresentmodelareasfollows.Theaxialvelocityincreaseswithan expansionintheestimationof velocityslipparameter andfluidbehaviorindex,andit diminishesfor alarger vaQ4 lue of the porous parameter. The magnitude of temperature diminishes with an expansion in the Biot number. The flux is maximum for trapezoidal wave and minimum for the triangular wave when compared with other considered waveforms. The flow rate in an elastic tube increases with an expansion in the porous parameter, and it diminishes with an increment in the slip parameter. The volume of tapered bolus enhances with increasing values of the porous parameter. Originality/value – The current study finds the application in designing the heart-lung machine and dialysis machine. The investigation further gives a superior comprehension of the peristaltic system associated with the gastrointestinal tract and the stream of blood in smallQ5 or microvessels

Item Type: Article
Uncontrolled Keywords: Biot number, Elastic parameters, Porous parameter, Velocity slip, waveform
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 11 May 2020 09:06
Last Modified: 11 May 2020 09:06
URI: http://eprints.manipal.edu/id/eprint/155107

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