A modification to Duhamel`s theorem in analytical solution for heat conduction problems over short periods of time after applaying abrupt variations in boundary conditions.
by
Amir hossein arabi
Tarbiat Modares University-Tehran-Iran
Coauthors: Mehdi Marefat

An analytical solution to one-dimensional heat conduction problem with time-dependent thermal flux, as the boundary condition, using Duhamel`s theorem has been developed. Results have been evaluated for drastic changes in thermal flux over first time steps. An Analytical auxiliary method has been introduced to avoid inconsistent results due to sudden changes in thermal flux over first time steps. Finally temperature distributions resulting from using Duhamel`s theorem and auxiliary method were compared and Duhamel`s theorem error was estimated.

Date received: April 28, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxc-95.