Numerical simulation of unsteady conjugate natural convection in a cylindrical porous domain (Darcy-Boussinesq model)

Mathematical simulation on unsteady natural convection in a closed porous cylindrical cavity having finite thickness heat-conducting solid walls in conditions of convective heat exchange with an environment has been carried out. A boundary-value problem of mathematical physics formulated in dimensio...

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Main Authors: Tatiana A. Trifonova, Mikhail Aleksandrovich Sheremet
Format: Article
Language:Russian
Published: Institute of Computer Science 2013-04-01
Series:Компьютерные исследования и моделирование
Subjects:
Online Access:http://crm.ics.org.ru/uploads/crmissues/crm_2013_2/13206.pdf
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author Tatiana A. Trifonova
Mikhail Aleksandrovich Sheremet
author_facet Tatiana A. Trifonova
Mikhail Aleksandrovich Sheremet
author_sort Tatiana A. Trifonova
collection DOAJ
description Mathematical simulation on unsteady natural convection in a closed porous cylindrical cavity having finite thickness heat-conducting solid walls in conditions of convective heat exchange with an environment has been carried out. A boundary-value problem of mathematical physics formulated in dimensionless variables such as stream function and temperature on the basis of Darcy-Boussinesq model has been solved by finite difference method. Effect of a porous medium permeability, ratio between a solid wall thickness and the inner radius of a cylinder, a thermal conductivity ratio and a dimensionless time on both local distributions of isolines and isotherms and integral complexes reflecting an intensity of convective flow and heat transfer has been analyzed in detail.
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spelling doaj.art-be9e29739c9f4da3859686e9171e9b5f2022-12-21T17:50:10ZrusInstitute of Computer ScienceКомпьютерные исследования и моделирование2076-76332077-68532013-04-015217919110.20537/2076-7633-2013-5-2-179-1912011Numerical simulation of unsteady conjugate natural convection in a cylindrical porous domain (Darcy-Boussinesq model)Tatiana A. TrifonovaMikhail Aleksandrovich SheremetMathematical simulation on unsteady natural convection in a closed porous cylindrical cavity having finite thickness heat-conducting solid walls in conditions of convective heat exchange with an environment has been carried out. A boundary-value problem of mathematical physics formulated in dimensionless variables such as stream function and temperature on the basis of Darcy-Boussinesq model has been solved by finite difference method. Effect of a porous medium permeability, ratio between a solid wall thickness and the inner radius of a cylinder, a thermal conductivity ratio and a dimensionless time on both local distributions of isolines and isotherms and integral complexes reflecting an intensity of convective flow and heat transfer has been analyzed in detail.http://crm.ics.org.ru/uploads/crmissues/crm_2013_2/13206.pdfconjugate heat transfernatural convectionDarcy–Boussinesq approximationporous cylindrical cavitytransient regimenumerical simulation
spellingShingle Tatiana A. Trifonova
Mikhail Aleksandrovich Sheremet
Numerical simulation of unsteady conjugate natural convection in a cylindrical porous domain (Darcy-Boussinesq model)
Компьютерные исследования и моделирование
conjugate heat transfer
natural convection
Darcy–Boussinesq approximation
porous cylindrical cavity
transient regime
numerical simulation
title Numerical simulation of unsteady conjugate natural convection in a cylindrical porous domain (Darcy-Boussinesq model)
title_full Numerical simulation of unsteady conjugate natural convection in a cylindrical porous domain (Darcy-Boussinesq model)
title_fullStr Numerical simulation of unsteady conjugate natural convection in a cylindrical porous domain (Darcy-Boussinesq model)
title_full_unstemmed Numerical simulation of unsteady conjugate natural convection in a cylindrical porous domain (Darcy-Boussinesq model)
title_short Numerical simulation of unsteady conjugate natural convection in a cylindrical porous domain (Darcy-Boussinesq model)
title_sort numerical simulation of unsteady conjugate natural convection in a cylindrical porous domain darcy boussinesq model
topic conjugate heat transfer
natural convection
Darcy–Boussinesq approximation
porous cylindrical cavity
transient regime
numerical simulation
url http://crm.ics.org.ru/uploads/crmissues/crm_2013_2/13206.pdf
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