Unsteady conjugate natural convection in a three-dimensional porous enclosure

Результат исследований: Материалы для журналаСтатья

13 Цитирования (Scopus)

Выдержка

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.

Язык оригиналаАнглийский
Страницы (с-по)243-267
Число страниц25
ЖурналNumerical Heat Transfer; Part A: Applications
Том68
Номер выпуска3
DOI
СостояниеОпубликовано - 3 авг 2015

Отпечаток

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

Цитировать

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

В: Numerical Heat Transfer; Part A: Applications, Том 68, № 3, 03.08.2015, стр. 243-267.

Результат исследований: Материалы для журналаСтатья

@article{2aa9bfbd659742fdb4c40d373f40aecc,
title = "Unsteady conjugate natural convection in a three-dimensional porous enclosure",
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.",
author = "Sheremet, {Mikhail A.}",
year = "2015",
month = "8",
day = "3",
doi = "10.1080/10407782.2014.977172",
language = "English",
volume = "68",
pages = "243--267",
journal = "Numerical Heat Transfer; Part A: Applications",
issn = "1040-7782",
publisher = "Taylor and Francis Ltd.",
number = "3",

}

TY - JOUR

T1 - Unsteady conjugate natural convection in a three-dimensional porous enclosure

AU - Sheremet, Mikhail A.

PY - 2015/8/3

Y1 - 2015/8/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84928673022&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84928673022&partnerID=8YFLogxK

U2 - 10.1080/10407782.2014.977172

DO - 10.1080/10407782.2014.977172

M3 - Article

AN - SCOPUS:84928673022

VL - 68

SP - 243

EP - 267

JO - Numerical Heat Transfer; Part A: Applications

JF - Numerical Heat Transfer; Part A: Applications

SN - 1040-7782

IS - 3

ER -