Viscosity dissipation and mixed convection flow in a vertical double-passage channel with permeable fluid

The method of regular perturbation is used to analyse the fully developed flow and heat transfer in a vertical two-way channel containing a permeable liquid. The Brinkman model is used for flow through porous media. The energy equation contains a viscosity term and a Darcy dissipation term. The full...

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Main Authors: Iqbal Athal, Ioannis E. Sarris, Palani Velusamy, Vediyappan Govindan
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-01-01
Series:Frontiers in Nanotechnology
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fnano.2022.1058973/full
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author Iqbal Athal
Ioannis E. Sarris
Palani Velusamy
Vediyappan Govindan
author_facet Iqbal Athal
Ioannis E. Sarris
Palani Velusamy
Vediyappan Govindan
author_sort Iqbal Athal
collection DOAJ
description The method of regular perturbation is used to analyse the fully developed flow and heat transfer in a vertical two-way channel containing a permeable liquid. The Brinkman model is used for flow through porous media. The energy equation contains a viscosity term and a Darcy dissipation term. The fully conductive thin partition is divided into two stages; the wall is uniformly heated; and the effects of the porous parameter σ and the mixed convection parameter λ on the velocity and temperature distribution near the hot and cold walls are investigated. The results show that these effects mainly depend on the position of the baffle. Analytical solutions are first used to resolve the simpler problems of either a negligible Brinkman number or a negligible Grashof number. Then, using a perturbation series method, the combined effects of buoyant forces and viscous dissipation are examined. The velocity field and the temperature field in the cases under study were assessed.
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spelling doaj.art-8378451e0b204a769d67ba2e7a2bc6552023-01-12T05:28:25ZengFrontiers Media S.A.Frontiers in Nanotechnology2673-30132023-01-01410.3389/fnano.2022.10589731058973Viscosity dissipation and mixed convection flow in a vertical double-passage channel with permeable fluidIqbal Athal0Ioannis E. Sarris1Palani Velusamy2Vediyappan Govindan3Department of Mathematics, PSNA College of Engineering and Technology, Dindigul, Tamilnadu, IndiaDepartment of Mechanical Engineering, University of West Attica, Athens, GreeceDepartment of Mathematics, Sri Vijay Vidyalaya College of Arts and Science, Krishnagiri, Tamilnadu, IndiaDepartment of Mathematics, Dmi St John The Baptist University, Lilongwe, MalawiThe method of regular perturbation is used to analyse the fully developed flow and heat transfer in a vertical two-way channel containing a permeable liquid. The Brinkman model is used for flow through porous media. The energy equation contains a viscosity term and a Darcy dissipation term. The fully conductive thin partition is divided into two stages; the wall is uniformly heated; and the effects of the porous parameter σ and the mixed convection parameter λ on the velocity and temperature distribution near the hot and cold walls are investigated. The results show that these effects mainly depend on the position of the baffle. Analytical solutions are first used to resolve the simpler problems of either a negligible Brinkman number or a negligible Grashof number. Then, using a perturbation series method, the combined effects of buoyant forces and viscous dissipation are examined. The velocity field and the temperature field in the cases under study were assessed.https://www.frontiersin.org/articles/10.3389/fnano.2022.1058973/fullpermeable fluidmixed convectionviscous dissipationdouble-passage channelchannel flow
spellingShingle Iqbal Athal
Ioannis E. Sarris
Palani Velusamy
Vediyappan Govindan
Viscosity dissipation and mixed convection flow in a vertical double-passage channel with permeable fluid
Frontiers in Nanotechnology
permeable fluid
mixed convection
viscous dissipation
double-passage channel
channel flow
title Viscosity dissipation and mixed convection flow in a vertical double-passage channel with permeable fluid
title_full Viscosity dissipation and mixed convection flow in a vertical double-passage channel with permeable fluid
title_fullStr Viscosity dissipation and mixed convection flow in a vertical double-passage channel with permeable fluid
title_full_unstemmed Viscosity dissipation and mixed convection flow in a vertical double-passage channel with permeable fluid
title_short Viscosity dissipation and mixed convection flow in a vertical double-passage channel with permeable fluid
title_sort viscosity dissipation and mixed convection flow in a vertical double passage channel with permeable fluid
topic permeable fluid
mixed convection
viscous dissipation
double-passage channel
channel flow
url https://www.frontiersin.org/articles/10.3389/fnano.2022.1058973/full
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AT ioannisesarris viscositydissipationandmixedconvectionflowinaverticaldoublepassagechannelwithpermeablefluid
AT palanivelusamy viscositydissipationandmixedconvectionflowinaverticaldoublepassagechannelwithpermeablefluid
AT vediyappangovindan viscositydissipationandmixedconvectionflowinaverticaldoublepassagechannelwithpermeablefluid