Finite Volume Solution of a 1-D Hyperbolic Conduction Equation

被引：9

作者：

Han, S. ^{[1
]}

机构：

[1] Tennessee Technol Univ, Dept Mech Engn, Cookeville, TN 38505 USA

来源：

NUMERICAL HEAT TRANSFER PART A-APPLICATIONS | 2015年 / 67卷 / 05期

关键词：

FOURIER HEAT-CONDUCTION; FORMULATION; PROPAGATION; SCHEME;

D O I：

10.1080/10407782.2014.937260

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

A one-dimensional hyperbolic conduction equation written in primitive variables is solved by a numerical method based on a finite volume formulation. Accuracy of the proposed formulation is verified by exact solutions for homogeneous medium and then applied to composite materials with different conductivity, specific heat, and heat flux lagging constant. Results show quite distinct wave penetration through and reflection at interfaces of dissimilar materials even though the wave speed in the second medium remains identical in all cases. Effect of non-uniform cross-sectional area on wave propagation is also examined. The formulation is straightforward and can be easily extended to multidimensional problems for heterogeneous media with temperature-dependent properties since no special treatments are needed at the interfaces.

引用

页码：497 / 512

页数：16

共 28 条

[11] MICROSCALE HEAT-CONDUCTION IN DIELECTRIC THIN-FILMS [J].

MAJUMDAR, A .

JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1993, 115 (01) :7-16

[12] PROPAGATION AND REFLECTION OF THERMAL WAVES IN A FINITE MEDIUM [J].

OZISIK, MN ;

VICK, B .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1984, 27 (10) :1845-1854

[13]

Patankar SV., 1980, NUMERICAL HEAT TRANS, P52

[14] Numerical modelling of microscale effects in conduction for different thermal boundary conditions [J].

Prakash, GS ;

Reddy, SS ;

Das, SK ;

Sundararajan, T ;

Seetharamu, KN .

NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 2000, 38 (05) :513-532

[15] FEMTOSECOND LASER-HEATING OF MULTILAYER METALS .1. ANALYSIS [J].

QIU, TQ ;

TIEN, CL .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1994, 37 (17) :2789-2797

[16] SHORT-PULSE LASER-HEATING ON METALS [J].

QIU, TQ ;

TIEN, CL .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1992, 35 (03) :719-726

[17]

Ren Y., 2013, NUMER HEAT TRANSFE A, V65, P1

[18] Variational formulation of hyperbolic heat conduction problems applying Laplace transform technique [J].

Saleh, A. ;

Al-Nimr, M. .

INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2008, 35 (02) :204-214

[19]

Shen W., 2002, 3 AIAA ASME JOINT C

[20] An explicit TVD scheme for hyperbolic heat conduction in complex geometry [J].

Shen, WS ;

Han, S .

NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 2002, 41 (06) :565-590

← 1 2 3 →