Volume 7, Issue 6
Transient Diffusion in Triangular Cylinders

C. Y. Wang

Adv. Appl. Math. Mech., 7 (2015), pp. 818-826.

Published online: 2018-05

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  • Abstract

A heated triangular cylinder is suddenly cooled in a constant temperature bath. The transient heat conduction problem is transformed to the Helmholtz equation related to the vibration of membranes. Using the membrane analogy, exact analytic solutions for the transient heat conduction problem for three triangular cross sections are found.

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