Mathematical Analysis on an Asymmetrical Wavy Motion of Blood under the Influence Entropy Generation with Convective Boundary Conditions

In this article, we discuss the entropy generation on the asymmetric peristaltic propulsion of non-Newtonian fluid with convective boundary conditions. The Williamson fluid model is considered for the analysis of flow properties. The current fluid model has the ability to reveal Newtonian and non-Ne...

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Main Authors: Arshad Riaz, Muhammad Mubashir Bhatti, Rahmat Ellahi, Ahmed Zeeshan, Sadiq M. Sait
Format: Article
Language:English
Published: MDPI AG 2020-01-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/1/102
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author Arshad Riaz
Muhammad Mubashir Bhatti
Rahmat Ellahi
Ahmed Zeeshan
Sadiq M. Sait
author_facet Arshad Riaz
Muhammad Mubashir Bhatti
Rahmat Ellahi
Ahmed Zeeshan
Sadiq M. Sait
author_sort Arshad Riaz
collection DOAJ
description In this article, we discuss the entropy generation on the asymmetric peristaltic propulsion of non-Newtonian fluid with convective boundary conditions. The Williamson fluid model is considered for the analysis of flow properties. The current fluid model has the ability to reveal Newtonian and non-Newtonian behavior. The present model is formulated via momentum, entropy, and energy equations, under the approximation of small Reynolds number and long wavelength of the peristaltic wave. A regular perturbation scheme is employed to obtain the series solutions up to third-order approximation. All the leading parameters are discussed with the help of graphs for entropy and temperature profiles. The irreversibility process is also discussed with the help of Bejan number. Streamlines are plotted to examine the trapping phenomena. Results obtained provide an excellent benchmark for further study on the entropy production with mass transfer and peristaltic pumping mechanism.
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spelling doaj.art-4c75e88b49d041eca9038d16046d35052022-12-22T04:01:09ZengMDPI AGSymmetry2073-89942020-01-0112110210.3390/sym12010102sym12010102Mathematical Analysis on an Asymmetrical Wavy Motion of Blood under the Influence Entropy Generation with Convective Boundary ConditionsArshad Riaz0Muhammad Mubashir Bhatti1Rahmat Ellahi2Ahmed Zeeshan3Sadiq M. Sait4Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, PakistanCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaDepartment of Mathematics & Statistics, Faculty of Basic and Applied Sciences (FBAS), International Islamic University (IIUI), Islamabad 44000, PakistanDepartment of Mathematics & Statistics, Faculty of Basic and Applied Sciences (FBAS), International Islamic University (IIUI), Islamabad 44000, PakistanCenter for Communications and IT Research, Research Institute, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi ArabiaIn this article, we discuss the entropy generation on the asymmetric peristaltic propulsion of non-Newtonian fluid with convective boundary conditions. The Williamson fluid model is considered for the analysis of flow properties. The current fluid model has the ability to reveal Newtonian and non-Newtonian behavior. The present model is formulated via momentum, entropy, and energy equations, under the approximation of small Reynolds number and long wavelength of the peristaltic wave. A regular perturbation scheme is employed to obtain the series solutions up to third-order approximation. All the leading parameters are discussed with the help of graphs for entropy and temperature profiles. The irreversibility process is also discussed with the help of Bejan number. Streamlines are plotted to examine the trapping phenomena. Results obtained provide an excellent benchmark for further study on the entropy production with mass transfer and peristaltic pumping mechanism.https://www.mdpi.com/2073-8994/12/1/102convectionentropy productionheat transfer engineeringblood flow
spellingShingle Arshad Riaz
Muhammad Mubashir Bhatti
Rahmat Ellahi
Ahmed Zeeshan
Sadiq M. Sait
Mathematical Analysis on an Asymmetrical Wavy Motion of Blood under the Influence Entropy Generation with Convective Boundary Conditions
Symmetry
convection
entropy production
heat transfer engineering
blood flow
title Mathematical Analysis on an Asymmetrical Wavy Motion of Blood under the Influence Entropy Generation with Convective Boundary Conditions
title_full Mathematical Analysis on an Asymmetrical Wavy Motion of Blood under the Influence Entropy Generation with Convective Boundary Conditions
title_fullStr Mathematical Analysis on an Asymmetrical Wavy Motion of Blood under the Influence Entropy Generation with Convective Boundary Conditions
title_full_unstemmed Mathematical Analysis on an Asymmetrical Wavy Motion of Blood under the Influence Entropy Generation with Convective Boundary Conditions
title_short Mathematical Analysis on an Asymmetrical Wavy Motion of Blood under the Influence Entropy Generation with Convective Boundary Conditions
title_sort mathematical analysis on an asymmetrical wavy motion of blood under the influence entropy generation with convective boundary conditions
topic convection
entropy production
heat transfer engineering
blood flow
url https://www.mdpi.com/2073-8994/12/1/102
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