Analytical solution for the 3D steady state conduction in a solid subjected to a moving rectangular heat source and surface cooling

被引：12

作者：

Osman, Talaat ^{[1
]}

Boucheffa, Abderrahmane ^{[1
]}

机构：

[1] Univ Paris 11, IUT Orsay, Dept Mesures Phys, F-91400 Orsay, France

来源：

COMPTES RENDUS MECANIQUE | 2009年 / 337卷 / 02期

关键词：

Heat transfer; Moving heat sources; Advection-diffusion problem; Analytical solution; FAST TRANSIENT CONDUCTION; THERMAL-RESISTANCE; TEMPERATURE; CONTACTS;

D O I：

10.1016/j.crme.2009.02.003

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Heating of solids, e.g. by friction or welding, plays an important role in the thermomechanical behaviour of materials. An analytical model to compute the three-dimensional temperature distribution in a solid, subjected to a moving rectangular heat source with surface cooling is proposed in this article. A frequential integral transform and a finite cosine Fourier integral transform are used to solve the advection-diffusion equation related to this problem. The obtained solution is explicit and does not impose any restriction on the speed, the dimensions and the heat convection coefficient. It is presented in series form which converges rapidly. To cite this article: T Osman, A. Boucheffa, C R. Mecanique 337 (2009). (c) 2009 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：107 / 111

页数：5

共 15 条

[1] Three-dimensional calculation of temperature in a rotating disk subjected to an eccentric circular heat source and surface cooling [J].

Alilat, N ;

Baïri, A ;

Laraqi, N .

NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 2004, 46 (02) :167-180

[2] Effect of thickness and physical properties of films on the thermal behavior of a moving rough interface [J].

Baïri, A ;

de María, JMG ;

Laraqi, N .

EUROPEAN PHYSICAL JOURNAL-APPLIED PHYSICS, 2004, 26 (01) :29-34

[3] Fast transient conduction in infinite plate subject to violent thermal effects [J].

Baïri, A ;

Laraqi, N ;

Alilat, N ;

Zouaoui, Z .

APPLIED THERMAL ENGINEERING, 2004, 24 (01) :1-15

[4] Diagrams for fast transient conduction in sphere and long cylinder subject to sudden an violent thermal effects on its surface [J].

Baïri, A ;

Laraqi, N .

APPLIED THERMAL ENGINEERING, 2003, 23 (11) :1373-1390

[5]

BARDON JP, 1994, REV GEN THERM, V386, P86

[6] Simultaneous estimation of frictional heat flux and two thermal contact parameters for sliding contacts [J].

Bauzin, JG ;

Laraqi, N .

NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 2004, 45 (04) :313-328

[7]

DESRUISSEAUX NR, 1970, ASME, V92, P456

[8]

FRANCIS HA, 1971, ASLE TRANS, V14, P41

[9]

Jaeger J.C., 1942, Proc. R. Soc. N. South Wales, V76, P203, DOI DOI 10.1109/TCST.2018.2852743

[10] Temperature and thermal resistance in frictional devices [J].

Laraqi, N ;

Baïri, A ;

Ségui, L .

APPLIED THERMAL ENGINEERING, 2004, 24 (17-18) :2567-2581

← 1 2 →