### 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 10^{3} ≤ Ra ≤ 10^{6}, the Darcy number 10^{-5} ≤ Da ≤ 10^{-3}, the thermal conductivity ratio 1 ≤ k_{1,2} ≤ 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 оригинала | Английский |
---|---|

Страницы (с-по) | 243-267 |

Число страниц | 25 |

Журнал | Numerical Heat Transfer; Part A: Applications |

Том | 68 |

Номер выпуска | 3 |

DOI | |

Состояние | Опубликовано - 3 авг 2015 |

### Отпечаток

### ASJC Scopus subject areas

- Numerical Analysis
- Condensed Matter Physics

### Цитировать

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

Результат исследований: Материалы для журнала › Статья

}

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 -