Bio-convective Darcy-Forchheimer periodically accelerated flow of non-Newtonian nanofluid with Cattaneo–Christov and Prandtl effective approach

The thermal applications of nanofluids significantly improved the heat and mass transfer pattern which convey necessary role in many engineering and industrial zones. The consideration of nanofluids contributes many dynamic applications in the solar energy and thermal engineering problems. Moreover,...

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Main Authors: Yi-Xia Li, Kamel Al-Khaled, Sami Ullah Khan, Tian-Chuan Sun, M. Ijaz Khan, M.Y. Malik
Format: Article
Language:English
Published: Elsevier 2021-08-01
Series:Case Studies in Thermal Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2214157X21002653
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spelling doaj-24ee08cae0084324a8f1a29541d7654c2021-07-09T04:43:48ZengElsevierCase Studies in Thermal Engineering2214-157X2021-08-0126101102Bio-convective Darcy-Forchheimer periodically accelerated flow of non-Newtonian nanofluid with Cattaneo–Christov and Prandtl effective approachYi-Xia Li0Kamel Al-Khaled1Sami Ullah Khan2Tian-Chuan Sun3M. Ijaz Khan4M.Y. Malik5College of Mathematics and Finance, Xiangnan University, Chenzhou, 423000, PR ChinaDepartment of Mathematics & Statistics, Jordan University of Science and Technology, P.O. Box 3030, Irbid, 22110, JordanDepartment of Mathematics, COMSATS University Islamabad, Sahiwal, 57000, PakistanQiuzhen College, Huzhou University, Huzhou, 313000, PR China; Corresponding author. Qiuzhen College, Huzhou University, Huzhou, 313000, PR China.Department of Mathematics and Statistics, Riphah International University I-14, Islamabad, 44000, Pakistan; Corresponding author. Department of Mathematics, College of Sciences, King Khalid University, Abha, 61413, Saudi Arabia.Department of Mathematics, College of Sciences, King Khalid University, Abha, 61413, Saudi ArabiaThe thermal applications of nanofluids significantly improved the heat and mass transfer pattern which convey necessary role in many engineering and industrial zones. The consideration of nanofluids contributes many dynamic applications in the solar energy and thermal engineering problems. Moreover, the stability of nanofluids is enhanced perfectively with motile microorganisms which have applications in petroleum sciences, biofuels, bio-engineering, bio-medical, enzymes etc. This research determines the applications of bio-convection in Casson nanoliquid flow subject to the variable thermal conductivity and inertial forces. The Cattaneo–Christov relations are treated to modify the heat and concentration equations. The accelerated surface with sinusoidal type velocity induced the flow. The flow problem is formulated in terms of partial differential equations. The homotopic scheme is followed in order to suggest the analytical relations. After highlighting the convergence region, the graphical simulations with help of MATHEMAITCA are performed. The physical output is addressed in view of all flow parameters. The 3-D behavior of velocity, temperature, concentration and microorganisms is also addressed.http://www.sciencedirect.com/science/article/pii/S2214157X21002653Casson nanoliquidVariable thermal conductivityCattaneo–christov theoryGyrotactic microorganismsActivation energy
collection DOAJ
language English
format Article
sources DOAJ
author Yi-Xia Li
Kamel Al-Khaled
Sami Ullah Khan
Tian-Chuan Sun
M. Ijaz Khan
M.Y. Malik
spellingShingle Yi-Xia Li
Kamel Al-Khaled
Sami Ullah Khan
Tian-Chuan Sun
M. Ijaz Khan
M.Y. Malik
Bio-convective Darcy-Forchheimer periodically accelerated flow of non-Newtonian nanofluid with Cattaneo–Christov and Prandtl effective approach
Case Studies in Thermal Engineering
Casson nanoliquid
Variable thermal conductivity
Cattaneo–christov theory
Gyrotactic microorganisms
Activation energy
author_facet Yi-Xia Li
Kamel Al-Khaled
Sami Ullah Khan
Tian-Chuan Sun
M. Ijaz Khan
M.Y. Malik
author_sort Yi-Xia Li
title Bio-convective Darcy-Forchheimer periodically accelerated flow of non-Newtonian nanofluid with Cattaneo–Christov and Prandtl effective approach
title_short Bio-convective Darcy-Forchheimer periodically accelerated flow of non-Newtonian nanofluid with Cattaneo–Christov and Prandtl effective approach
title_full Bio-convective Darcy-Forchheimer periodically accelerated flow of non-Newtonian nanofluid with Cattaneo–Christov and Prandtl effective approach
title_fullStr Bio-convective Darcy-Forchheimer periodically accelerated flow of non-Newtonian nanofluid with Cattaneo–Christov and Prandtl effective approach
title_full_unstemmed Bio-convective Darcy-Forchheimer periodically accelerated flow of non-Newtonian nanofluid with Cattaneo–Christov and Prandtl effective approach
title_sort bio-convective darcy-forchheimer periodically accelerated flow of non-newtonian nanofluid with cattaneo–christov and prandtl effective approach
publisher Elsevier
series Case Studies in Thermal Engineering
issn 2214-157X
publishDate 2021-08-01
description The thermal applications of nanofluids significantly improved the heat and mass transfer pattern which convey necessary role in many engineering and industrial zones. The consideration of nanofluids contributes many dynamic applications in the solar energy and thermal engineering problems. Moreover, the stability of nanofluids is enhanced perfectively with motile microorganisms which have applications in petroleum sciences, biofuels, bio-engineering, bio-medical, enzymes etc. This research determines the applications of bio-convection in Casson nanoliquid flow subject to the variable thermal conductivity and inertial forces. The Cattaneo–Christov relations are treated to modify the heat and concentration equations. The accelerated surface with sinusoidal type velocity induced the flow. The flow problem is formulated in terms of partial differential equations. The homotopic scheme is followed in order to suggest the analytical relations. After highlighting the convergence region, the graphical simulations with help of MATHEMAITCA are performed. The physical output is addressed in view of all flow parameters. The 3-D behavior of velocity, temperature, concentration and microorganisms is also addressed.
topic Casson nanoliquid
Variable thermal conductivity
Cattaneo–christov theory
Gyrotactic microorganisms
Activation energy
url http://www.sciencedirect.com/science/article/pii/S2214157X21002653
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