Maximum thermal spreading resistance for rectangular sources and plates with nonunity aspect ratios

被引：65
作者：
Ellison, GN [1 ]
机构：
[1] Portland State Univ, Portland, OR 97207 USA
来源：
IEEE TRANSACTIONS ON COMPONENTS AND PACKAGING TECHNOLOGIES | 2003年 / 26卷 / 02期
关键词：
biot number; dimensionless resistance; Fourier series; Green's functions; heat flux; heat source; heat source density; heat transfer coefficient; infinite series; Newtonian cooling; 1-D conduction resistance; 1-D convection/radiation; resistance; spreading; spreading resistance; thermal; thermal contours; thermal resistance; thermal spreading resistance;
D O I：
10.1109/TCAPT.2003.815088
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
An exact three-dimensional (3-D) solution is derived for the steady-state heat conduction equation with the source on an otherwise adiabatic surface and Newtonian cooling on the opposing surface. Dimensionless solutions are provided for maximum and source-averaged thermal spreading resistances. The solution for unit-source contours in a plane perpendicular to the source plane is also included. Maximum thermal spreading resistance plots are provided for several source-to-plate edge length ratios and source aspect ratios (plate maintained square). The Newtonian cooling effects are incorporated via a Biot number. Examples illustrate application of the theory.
引用
收藏
页码：439 / 454
页数：16
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