Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
801737 | Mechanics Research Communications | 2009 | 8 Pages |
Abstract
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.
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Authors
R. Quintanilla, P.M. Jordan,