Volume 6, Issue 3, September 2020, Page: 70-78
Peristaltic Flow with Heat Transfer on Sisko Fluid in a Ciliated Arteries
Bothaina Mohamed Agoor, Department of Mathematics, Faculty of Science, Fayoum University, Fayoum, Egypt
Mohamed Eissa Sayed-Ahmed, Department of Engineering Mathematics and Physics, Faculty of Engineering, Fayoum University, Fayoum, Egypt
Heba Alam, Department of Mathematics, Faculty of Science, Fayoum University, Fayoum, Egypt
Received: Jun. 30, 2020;       Accepted: Jul. 24, 2020;       Published: Aug. 10, 2020
DOI: 10.11648/j.ijfmts.20200603.11      View  85      Downloads  38
Abstract
The flow of blood through arteries is an important physiological problem. In the present investigation, we carried out to study the peristaltic of non-Newtonian incompressible blood flow with heat transfer through ciliated arteries. The blood flow is characterized by the generalized Sisko model. The nonlinear partial differential equations of the problem are simplified by using an approximation of long wavelength and low Reynolds number. The differential equations are solved analytically by using the perturbation method. We find that Sisko fluid parameter and the power index effects the behavior of the velocity where the velocity increase in the arteries then decreases near the wall, but the Sisko parameter give opposite behavior where the velocity decrease then increases near the wall of arteries. The velocity increase in arteries with the increase of cilia length and elliptic path. The temperature profile increases then decreases near the wall of arteries with the increase of power index, Sisko fluid parameter and Grashof number, while the temperature decrease then increase near the wall with increase of Sisko parameter. The effect of increase in the cilia length give an increase of the temperature. The pressure gradient increases with the increase of power index and elliptic path, while the pressure gradient decrease with an increase of elliptic path, Sisko parameter. The pressure gradient increases and decreases in a different interval with the increase the cilia length. Our results are illustrated through a set of Figures.
Keywords
Sisko Fluid Model, Perturbation Method, Peristaltic Flow, Non-newtonian Fluid and Heat Transfer
To cite this article
Bothaina Mohamed Agoor, Mohamed Eissa Sayed-Ahmed, Heba Alam, Peristaltic Flow with Heat Transfer on Sisko Fluid in a Ciliated Arteries, International Journal of Fluid Mechanics & Thermal Sciences. Vol. 6, No. 3, 2020, pp. 70-78. doi: 10.11648/j.ijfmts.20200603.11
Copyright
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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