Unsteady heat transfer enhancement in Williamson fluid in Darcy-Forchheimer porous medium under non-Fourier condition of heat flux

Non-Newtonian constitutive equations and models for hybrid particles are simultaneously coupled with conservation laws. The energy equation is derived under non-Fourier heat flux condition. The resulting mathematical models are numerically solved by the finite element method (FEM). The modeled probl...

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Autores principales:	M. Nawaz, M. Adil Sadiq
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Non-fourier thermal analysis Thermal relaxation times Heat generation Double diffusion Hybrid nano-structures Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/e6053251ede6436cb3a3425f0b50a416
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spelling	oai:doaj.org-article:e6053251ede6436cb3a3425f0b50a4162021-12-04T04:34:15ZUnsteady heat transfer enhancement in Williamson fluid in Darcy-Forchheimer porous medium under non-Fourier condition of heat flux2214-157X10.1016/j.csite.2021.101647https://doaj.org/article/e6053251ede6436cb3a3425f0b50a4162021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2214157X21008108https://doaj.org/toc/2214-157XNon-Newtonian constitutive equations and models for hybrid particles are simultaneously coupled with conservation laws. The energy equation is derived under non-Fourier heat flux condition. The resulting mathematical models are numerically solved by the finite element method (FEM). The modeled problems are convertible into their special case published in the literature. The computed results are ensured to be meshed-free and convergent. The numerical results are made convergent against related rheological parameters and numerical outcomes are visualized. The results based on visualization and numerical outcomes are discussed. The velocity of Williamson fluid decreases as a function of Williamson parameter. It is also observed that the velocity of mono nano - Williamson fluid decreases faster than the hybrid nano - Williamson fluid. Darcy and Forchheimer porous media offer resistance to the flow and therefore, play a significant role in decreasing the thickness of the momentum boundary layer. Heat generation in the fluid is utilized in increasing the kinetic energy of the fluid particles. Therefore, the internal energy of the fluid particles is increased. Hence, the temperature of fluid particles increases. Numerical results have demonstrated that heat generation in hybrid nano-Williamson fluid is greater than the heat generated by the particles of mono nano - Williamson fluid. The wall shear stress (for both types of nanofluids) increases when We and Fr are increased. The wall shear stress for the case of hybrid nanofluid is greater than the wall shear stress for mono nanofluid. The rate of heat transfer in mono nanofluid is less than the rate of heat transfer in hybrid nanofluid.M. NawazM. Adil SadiqElsevierarticleNon-fourier thermal analysisThermal relaxation timesHeat generationDouble diffusionHybrid nano-structuresEngineering (General). Civil engineering (General)TA1-2040ENCase Studies in Thermal Engineering, Vol 28, Iss , Pp 101647- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Non-fourier thermal analysis Thermal relaxation times Heat generation Double diffusion Hybrid nano-structures Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Non-fourier thermal analysis Thermal relaxation times Heat generation Double diffusion Hybrid nano-structures Engineering (General). Civil engineering (General) TA1-2040 M. Nawaz M. Adil Sadiq Unsteady heat transfer enhancement in Williamson fluid in Darcy-Forchheimer porous medium under non-Fourier condition of heat flux
description	Non-Newtonian constitutive equations and models for hybrid particles are simultaneously coupled with conservation laws. The energy equation is derived under non-Fourier heat flux condition. The resulting mathematical models are numerically solved by the finite element method (FEM). The modeled problems are convertible into their special case published in the literature. The computed results are ensured to be meshed-free and convergent. The numerical results are made convergent against related rheological parameters and numerical outcomes are visualized. The results based on visualization and numerical outcomes are discussed. The velocity of Williamson fluid decreases as a function of Williamson parameter. It is also observed that the velocity of mono nano - Williamson fluid decreases faster than the hybrid nano - Williamson fluid. Darcy and Forchheimer porous media offer resistance to the flow and therefore, play a significant role in decreasing the thickness of the momentum boundary layer. Heat generation in the fluid is utilized in increasing the kinetic energy of the fluid particles. Therefore, the internal energy of the fluid particles is increased. Hence, the temperature of fluid particles increases. Numerical results have demonstrated that heat generation in hybrid nano-Williamson fluid is greater than the heat generated by the particles of mono nano - Williamson fluid. The wall shear stress (for both types of nanofluids) increases when We and Fr are increased. The wall shear stress for the case of hybrid nanofluid is greater than the wall shear stress for mono nanofluid. The rate of heat transfer in mono nanofluid is less than the rate of heat transfer in hybrid nanofluid.
format	article
author	M. Nawaz M. Adil Sadiq
author_facet	M. Nawaz M. Adil Sadiq
author_sort	M. Nawaz
title	Unsteady heat transfer enhancement in Williamson fluid in Darcy-Forchheimer porous medium under non-Fourier condition of heat flux
title_short	Unsteady heat transfer enhancement in Williamson fluid in Darcy-Forchheimer porous medium under non-Fourier condition of heat flux
title_full	Unsteady heat transfer enhancement in Williamson fluid in Darcy-Forchheimer porous medium under non-Fourier condition of heat flux
title_fullStr	Unsteady heat transfer enhancement in Williamson fluid in Darcy-Forchheimer porous medium under non-Fourier condition of heat flux
title_full_unstemmed	Unsteady heat transfer enhancement in Williamson fluid in Darcy-Forchheimer porous medium under non-Fourier condition of heat flux
title_sort	unsteady heat transfer enhancement in williamson fluid in darcy-forchheimer porous medium under non-fourier condition of heat flux
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/e6053251ede6436cb3a3425f0b50a416
work_keys_str_mv	AT mnawaz unsteadyheattransferenhancementinwilliamsonfluidindarcyforchheimerporousmediumundernonfourierconditionofheatflux AT madilsadiq unsteadyheattransferenhancementinwilliamsonfluidindarcyforchheimerporousmediumundernonfourierconditionofheatflux
_version_	1718373002337320960

Unsteady heat transfer enhancement in Williamson fluid in Darcy-Forchheimer porous medium under non-Fourier condition of heat flux

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