TY - JOUR
T1 - Transient Diffusion in Triangular Cylinders
AU - Wang , C. Y.
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 - <p style="text-align: justify;">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.</p>