Numerical solution of FSPL heat conduction equation for analysis of thermal propagation

T.N. Mishra and K.N. Rai

Applied Mathematics and Computation, 2016, vol. 273, issue C, 1006-1017

Abstract: The fractional single-phase-lagging (FSPL) heat conduction model is obtained by applying fractional Taylor series formula to the single-phase-lagging (SPL) heat conduction model. Based on the FSPL heat conduction equation, thermal wave propagation within a finite thin film subjected to time-varying and spatially-decaying laser heating at left boundary (x=0) is investigated. The effect of different parameters on temperature solution has been observed. Results were obtained by compact difference scheme. The stability of the numerical scheme has been discussed and observed that the solution is unconditionally stable. The whole analysis is presented in dimensionless form. A numerical example of particular interest has been studied and discussed in details.

Keywords: SPL heat conduction model; FSPL heat conduction model; Fractional Taylor series formula; Laser heat source; Compact difference scheme; Unconditional stability (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:273:y:2016:i:c:p:1006-1017

DOI: 10.1016/j.amc.2015.10.082

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