Unsteady conjugate natural convection in a square enclosure filled with a porous medium

Inna A. Aleshkova, Mikhail A. Sheremet

Research output: Contribution to journalArticle

59 Citations (Scopus)

Abstract

Mathematical simulation of unsteady natural convection modes in a square cavity filled with a porous medium having finite thickness heat-conducting walls with local heat source in conditions of heterogeneous heat exchange with an environment at one of the external boundaries has been carried out. Numerical analysis was based on Darcy-Forchheimer model in dimensionless variables such as a stream function, a vorticity vector and a temperature. The special attention was given to analysis of Rayleigh number effect Ra = 104, 10 5, 106, of Darcy number effect Da = 10-5, 10-4, 10-3, ∞, of the transient factor effect 0 < τ < 1000 and of the heat conductivity ratio k2,1 = 3.7 × 10-2, 5.7 × 10-4, 6.8 × 10 -5 on the velocity and temperature fields. The influence scales of the defining parameters on the average Nusselt number have been detected.

Original languageEnglish
Pages (from-to)5308-5320
Number of pages13
JournalInternational Journal of Heat and Mass Transfer
Volume53
Issue number23-24
DOIs
Publication statusPublished - 1 Nov 2010

Fingerprint

enclosure
Enclosures
Natural convection
free convection
Porous materials
heat
Rayleigh number
Nusselt number
heat sources
Vorticity
vorticity
numerical analysis
Numerical analysis
Thermal conductivity
Temperature distribution
temperature distribution
velocity distribution
conduction
conductivity
cavities

Keywords

  • Conjugate natural convection
  • Darcy-Forchheimer model
  • Local heat source
  • Numerical simulation
  • Porous medium

ASJC Scopus subject areas

  • Mechanical Engineering
  • Condensed Matter Physics
  • Fluid Flow and Transfer Processes

Cite this

Unsteady conjugate natural convection in a square enclosure filled with a porous medium. / Aleshkova, Inna A.; Sheremet, Mikhail A.

In: International Journal of Heat and Mass Transfer, Vol. 53, No. 23-24, 01.11.2010, p. 5308-5320.

Research output: Contribution to journalArticle

@article{2aa163f09dbb40be8387232f4231557a,
title = "Unsteady conjugate natural convection in a square enclosure filled with a porous medium",
abstract = "Mathematical simulation of unsteady natural convection modes in a square cavity filled with a porous medium having finite thickness heat-conducting walls with local heat source in conditions of heterogeneous heat exchange with an environment at one of the external boundaries has been carried out. Numerical analysis was based on Darcy-Forchheimer model in dimensionless variables such as a stream function, a vorticity vector and a temperature. The special attention was given to analysis of Rayleigh number effect Ra = 104, 10 5, 106, of Darcy number effect Da = 10-5, 10-4, 10-3, ∞, of the transient factor effect 0 < τ < 1000 and of the heat conductivity ratio k2,1 = 3.7 × 10-2, 5.7 × 10-4, 6.8 × 10 -5 on the velocity and temperature fields. The influence scales of the defining parameters on the average Nusselt number have been detected.",
keywords = "Conjugate natural convection, Darcy-Forchheimer model, Local heat source, Numerical simulation, Porous medium",
author = "Aleshkova, {Inna A.} and Sheremet, {Mikhail A.}",
year = "2010",
month = "11",
day = "1",
doi = "10.1016/j.ijheatmasstransfer.2010.07.025",
language = "English",
volume = "53",
pages = "5308--5320",
journal = "International Journal of Heat and Mass Transfer",
issn = "0017-9310",
publisher = "Elsevier Limited",
number = "23-24",

}

TY - JOUR

T1 - Unsteady conjugate natural convection in a square enclosure filled with a porous medium

AU - Aleshkova, Inna A.

AU - Sheremet, Mikhail A.

PY - 2010/11/1

Y1 - 2010/11/1

N2 - Mathematical simulation of unsteady natural convection modes in a square cavity filled with a porous medium having finite thickness heat-conducting walls with local heat source in conditions of heterogeneous heat exchange with an environment at one of the external boundaries has been carried out. Numerical analysis was based on Darcy-Forchheimer model in dimensionless variables such as a stream function, a vorticity vector and a temperature. The special attention was given to analysis of Rayleigh number effect Ra = 104, 10 5, 106, of Darcy number effect Da = 10-5, 10-4, 10-3, ∞, of the transient factor effect 0 < τ < 1000 and of the heat conductivity ratio k2,1 = 3.7 × 10-2, 5.7 × 10-4, 6.8 × 10 -5 on the velocity and temperature fields. The influence scales of the defining parameters on the average Nusselt number have been detected.

AB - Mathematical simulation of unsteady natural convection modes in a square cavity filled with a porous medium having finite thickness heat-conducting walls with local heat source in conditions of heterogeneous heat exchange with an environment at one of the external boundaries has been carried out. Numerical analysis was based on Darcy-Forchheimer model in dimensionless variables such as a stream function, a vorticity vector and a temperature. The special attention was given to analysis of Rayleigh number effect Ra = 104, 10 5, 106, of Darcy number effect Da = 10-5, 10-4, 10-3, ∞, of the transient factor effect 0 < τ < 1000 and of the heat conductivity ratio k2,1 = 3.7 × 10-2, 5.7 × 10-4, 6.8 × 10 -5 on the velocity and temperature fields. The influence scales of the defining parameters on the average Nusselt number have been detected.

KW - Conjugate natural convection

KW - Darcy-Forchheimer model

KW - Local heat source

KW - Numerical simulation

KW - Porous medium

UR - http://www.scopus.com/inward/record.url?scp=77956064160&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77956064160&partnerID=8YFLogxK

U2 - 10.1016/j.ijheatmasstransfer.2010.07.025

DO - 10.1016/j.ijheatmasstransfer.2010.07.025

M3 - Article

VL - 53

SP - 5308

EP - 5320

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

SN - 0017-9310

IS - 23-24

ER -