Green’s Function Solution for the Dual-Phase-Lag Heat Equation
Reem Alkhairy
Dammam University, Dammam, KSA.
DOI: 10.4236/am.2012.310171   PDF    HTML   XML   5,288 Downloads   9,287 Views   Citations


The present work is devoted to define a generalized Green’s function solution for the dual-phase-lag model in homogeneous materials in a unified manner .The high-order mixed derivative with respect to space and time which reflect the lagging behavior is treated in special manner in the dual-phase-lag heat equation in order to construct a general solution applicable to wide range of dual-phase-lag heat transfer problems of general initial-boundary conditions using Green’s function solution method. Also, the Green’s function for a finite medium subjected to arbitrary heat source and arbitrary initial and boundary conditions is constructed. Finally, four examples of different physical situations are analyzed in order to illustrate the accuracy and potentialities of the proposed unified method. The obtained results show good agreement with works of [1-4].

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R. Alkhairy, "Green’s Function Solution for the Dual-Phase-Lag Heat Equation," Applied Mathematics, Vol. 3 No. 10, 2012, pp. 1170-1178. doi: 10.4236/am.2012.310171.

Conflicts of Interest

The authors declare no conflicts of interest.


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