Unsteady conjugate natural convection in a three-dimensional porous enclosure

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Transient-free convection in a porous enclosure having heat-conducting solid walls of finite thickness under conditions of convective heat exchange with an environment was studied numerically. A heat source of constant temperature was located at the bottom of the cavity. The governing equations in porous volume formulated in dimensionless variables such as the temperature and vector potential functions within the Darcy-Boussinesq approach and the transient three-dimensional heat conduction equation based on the Fourier hypothesis for solid walls with corresponding initial and boundary conditions were solved using an iterative implicit finite-difference method. The main objective was to investigate the influence of the Rayleigh number 103 ≤ Ra ≤ 106, the Darcy number 10-5 ≤ Da ≤ 10-3, the thermal conductivity ratio 1 ≤ k1,2 ≤ 20, the solid wall thickness ratio 0.1 ≤ l/L ≤ 0.3, and the dimensionless time 0 ≤ τ ≤ 200 on the fluid flow and heat transfer. Comprehensive analysis of the effects of these key parameters on the average Nusselt number at the heat source surface was conducted.

Original languageEnglish
Pages (from-to)243-267
Number of pages25
JournalNumerical Heat Transfer; Part A: Applications
Volume68
Issue number3
DOIs
Publication statusPublished - 3 Aug 2015

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Natural Convection
Enclosure
enclosure
Enclosures
Natural convection
free convection
Heat Source
heat sources
Dimensionless
Three-dimensional
Heat
heat
Free Convection
Heat Conduction Equation
thickness ratio
Vector Potential
Nusselt number
Rayleigh number
Potential Function
Thermal Conductivity

ASJC Scopus subject areas

  • Numerical Analysis
  • Condensed Matter Physics

Cite this

Unsteady conjugate natural convection in a three-dimensional porous enclosure. / Sheremet, Mikhail A.

In: Numerical Heat Transfer; Part A: Applications, Vol. 68, No. 3, 03.08.2015, p. 243-267.

Research output: Contribution to journalArticle

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