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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.
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