Heat conduction in an equilateral triangular rod under a step-change wall temperature

✍ Scribed by M.A. Ebadian; T.C. Yih; O.A. Arnas

• Publisher: Elsevier Science
• Year: 1989
• Tongue: English
• Weight: 329 KB
• Volume: 16
• Category: Article
• ISSN: 0735-1933
• DOI: 10.1016/0735-1933(89)90075-4

✦ Synopsis

This paper examines the steady state heat conduction in an equilateral triangular homogenous rod of infinite length.

The rod is composed of an isotropic heat conducting material and is subjected to a step wall temperature change on all three faces with no heat source or sink. The temperature field in the equilateral triangular rod is obtained by an approximate analytic method using Fourier integral transforms and a numerical scheme. The temperature variations in the transverse direction at various longitudinal sections are plotted, along with the temperature variations in the longitudinal direction for various points in the transverse coordinate. Also, for the same wall temperature condition, the generating lines of isothermal surfaces, which are symmetrical, are plotted.

The wall heat flux variation along the longitudinal direction is obtained and plotted against the longitudinal coordinate.

To represent the total heat flow, a dimensionless heat flow coefficient at the cross section corresponding to the wall temperature discontinuity is defined and its value is found to be 1.83850.