Darcy-Forchheimer flow with viscoelastic Cattaneo-Christov heat flux model and nonlinear thermal radiation: A numerical investigation

Jeffrey fluids have found vast applications in industries and engineering along with their rheological properties. This article investigates the heat and fluid flow within the frame of the nonlinear thermal radiation and non-Fourier heat flux model on Jeffrey nanofluid over an inclined permeable str...

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Main Authors: Hassan Ali Ghazwani, Misbah Ijaz, Sohail Nadeem, Hammad Khan, J. Alzabut, Ahmed M. Hassan
Format: Article
Language:English
Published: Elsevier 2024-01-01
Series:Case Studies in Thermal Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2214157X23012145
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author Hassan Ali Ghazwani
Misbah Ijaz
Sohail Nadeem
Hammad Khan
J. Alzabut
Ahmed M. Hassan
author_facet Hassan Ali Ghazwani
Misbah Ijaz
Sohail Nadeem
Hammad Khan
J. Alzabut
Ahmed M. Hassan
author_sort Hassan Ali Ghazwani
collection DOAJ
description Jeffrey fluids have found vast applications in industries and engineering along with their rheological properties. This article investigates the heat and fluid flow within the frame of the nonlinear thermal radiation and non-Fourier heat flux model on Jeffrey nanofluid over an inclined permeable stretched cylinder through saturated porous medium. In addition, non-uniform heat generation/absorption, nonlinear thermal radiation, thermal stratification, and homogeneous/heterogeneous reactions are accounted. Porous medium is characterized through nonlinear Darcy-Forchheimer relation. Shooting method is employed in conjunction with Runge-Kutta-Fehlberg method to solve nonlinear ODEs. The effects of flow variables involved in velocity, temperature and concentration profiles are deliberated through graphs. It is evident from obtained results that the temperature field rises with thermal radiation parameter and space dependent heat generation/absorption parameter. Local Nusselt number has same enhancing attitude towards the thermal relaxation time (0.7443≤−Nˆuz(Rez)−12≤0.7857 for0.2≤δe≤0.6) and thermal stratification parameter (0.7239≤−Nˆuz(Rez)−12≤0.7689for0.2≤S1≤0.6). The exactness of the solution and F′(ξ) variation is verified by comparison with already published literature. The computed results are of great interest in cooling of nuclear reactors. Viscoelastic stuff are generally employed in mats, car shields, computer hard drives and other protective paddings. Synthetic materials can work as the lubricant for an osteoarthritic joint.
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spelling doaj.art-6c40ee42210f4c7c9fc9606dbaf1e8762024-01-12T04:56:55ZengElsevierCase Studies in Thermal Engineering2214-157X2024-01-0153103908Darcy-Forchheimer flow with viscoelastic Cattaneo-Christov heat flux model and nonlinear thermal radiation: A numerical investigationHassan Ali Ghazwani0Misbah Ijaz1Sohail Nadeem2Hammad Khan3J. Alzabut4Ahmed M. Hassan5Department of Mechanical Engineering, Jazan University, Jazan, Saudi Arabia; Corresponding author.Department of Mathematics, Quaid-I-Azam University, Islamabad, PakistanDepartment of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan; Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia; Department of Mathematics, Wenzhou University, ChinaSchool of Automation, Northwestern Polytechnical Univesity, Xian, ChinaDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia; Department of Industrial Engineering, OSTIM Technical University, Ankara, TurkeyFaculty of Engineering, Future University in Egypt, EgyptJeffrey fluids have found vast applications in industries and engineering along with their rheological properties. This article investigates the heat and fluid flow within the frame of the nonlinear thermal radiation and non-Fourier heat flux model on Jeffrey nanofluid over an inclined permeable stretched cylinder through saturated porous medium. In addition, non-uniform heat generation/absorption, nonlinear thermal radiation, thermal stratification, and homogeneous/heterogeneous reactions are accounted. Porous medium is characterized through nonlinear Darcy-Forchheimer relation. Shooting method is employed in conjunction with Runge-Kutta-Fehlberg method to solve nonlinear ODEs. The effects of flow variables involved in velocity, temperature and concentration profiles are deliberated through graphs. It is evident from obtained results that the temperature field rises with thermal radiation parameter and space dependent heat generation/absorption parameter. Local Nusselt number has same enhancing attitude towards the thermal relaxation time (0.7443≤−Nˆuz(Rez)−12≤0.7857 for0.2≤δe≤0.6) and thermal stratification parameter (0.7239≤−Nˆuz(Rez)−12≤0.7689for0.2≤S1≤0.6). The exactness of the solution and F′(ξ) variation is verified by comparison with already published literature. The computed results are of great interest in cooling of nuclear reactors. Viscoelastic stuff are generally employed in mats, car shields, computer hard drives and other protective paddings. Synthetic materials can work as the lubricant for an osteoarthritic joint.http://www.sciencedirect.com/science/article/pii/S2214157X23012145Nonlinear thermal radiationCattaneo-christove heat flux modelNon-uniform heat generation/absorptionThermal stratificationHomogeneous/ heterogeneous reactionsShooting method
spellingShingle Hassan Ali Ghazwani
Misbah Ijaz
Sohail Nadeem
Hammad Khan
J. Alzabut
Ahmed M. Hassan
Darcy-Forchheimer flow with viscoelastic Cattaneo-Christov heat flux model and nonlinear thermal radiation: A numerical investigation
Case Studies in Thermal Engineering
Nonlinear thermal radiation
Cattaneo-christove heat flux model
Non-uniform heat generation/absorption
Thermal stratification
Homogeneous/ heterogeneous reactions
Shooting method
title Darcy-Forchheimer flow with viscoelastic Cattaneo-Christov heat flux model and nonlinear thermal radiation: A numerical investigation
title_full Darcy-Forchheimer flow with viscoelastic Cattaneo-Christov heat flux model and nonlinear thermal radiation: A numerical investigation
title_fullStr Darcy-Forchheimer flow with viscoelastic Cattaneo-Christov heat flux model and nonlinear thermal radiation: A numerical investigation
title_full_unstemmed Darcy-Forchheimer flow with viscoelastic Cattaneo-Christov heat flux model and nonlinear thermal radiation: A numerical investigation
title_short Darcy-Forchheimer flow with viscoelastic Cattaneo-Christov heat flux model and nonlinear thermal radiation: A numerical investigation
title_sort darcy forchheimer flow with viscoelastic cattaneo christov heat flux model and nonlinear thermal radiation a numerical investigation
topic Nonlinear thermal radiation
Cattaneo-christove heat flux model
Non-uniform heat generation/absorption
Thermal stratification
Homogeneous/ heterogeneous reactions
Shooting method
url http://www.sciencedirect.com/science/article/pii/S2214157X23012145
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