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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@Article{AAMM-7-818, author = {C. Y. Wang}, title = {Transient Diffusion in Triangular Cylinders}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {7}, number = {6}, pages = {818--826}, 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2014.m617}, url = {http://global-sci.org/intro/article_detail/aamm/12241.html} }
TY - JOUR T1 - Transient Diffusion in Triangular Cylinders AU - C. Y. Wang JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 818 EP - 826 PY - 2018 DA - 2018/05 SN - 7 DO - http://doi.org/10.4208/aamm.2014.m617 UR - https://global-sci.org/intro/article_detail/aamm/12241.html KW - AB -

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.

C. Y. Wang. (1970). Transient Diffusion in Triangular Cylinders. Advances in Applied Mathematics and Mechanics. 7 (6). 818-826. doi:10.4208/aamm.2014.m617
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