Rights accessRestricted access - publisher's policy
In this note we present exact solutions of two initial-boundary value problems (IBVP)s in
the setting of a recently-introduced theory of heat conduction, wherein the two temperature
theory of the late 1960s is merged with Tzou’s dual-phase-lag flux relation. First, we
solve a one-dimensional problem on a finite interval for a simple, parabolic initial condition.
We then describe how to extend the analysis to the general three-dimensional case.
In particular, it is demonstrated that the instability which generally arises in connection
with the dual-phase-lag model can be avoided under this hybrid formulation.
CitationQuintanilla, R.; Jordan, P. A note on the two temperature theory with dual-phase-lag delay: some exact solutions. "Mechanics research communications", Octubre 2009, vol. 36, núm. 7, p. 796-803.
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder. If you wish to make any use of the work not provided for in the law, please contact: firstname.lastname@example.org