TEMPERATURE PROFILE IN SEMI-INFINITE BODY WITH EXPONENTIAL SOURCE AND CONVECTIVE BOUNDARY-CONDITION

被引：80

作者：

BLACKWELL, BF

机构：

[1] Sandia National Laboratory, Aerothermodynamics Division 1553, Albuquerque, NM

来源：

JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME | 1990年 / 112卷 / 03期

关键词：

Conduction; Transient and unsteady heat transfer;

D O I：

10.1115/1.2910424

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

An analytical solution for the temperature profile in a semi-infinite body with an exponentially decaying (with position) source and convective boundary condition is obtained using Laplace transforms. The appropriate dimensionless parameters are identified and the temperature as a function of these parameters is presented in graphic form. With cooling at the exposed surf ace, the maximum temperature occurs in the interior of the slab instead of at the exposed surface. The location of the temperature maximum as a function of the various system parameters is presented in graphic form. Approximate relationships are presented for small values of dimensionless time. © 1990 by ASME.

引用

页码：567 / 571

页数：5