Numerical solution of FSPL heat conduction equation for analysis of thermal propagation
| Autor: | T.N. Mishra, Kabindra Nath Rai |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Materials science
Applied Mathematics Boundary (topology) Thermodynamics Free-space path loss Mechanics Relativistic heat conduction Thermal conduction 01 natural sciences 010305 fluids & plasmas 010101 applied mathematics Computational Mathematics symbols.namesake 0103 physical sciences Thermal Taylor series symbols Heat equation 0101 mathematics Dimensionless quantity |
| Zdroj: | Applied Mathematics and Computation. 273:1006-1017 |
| ISSN: | 0096-3003 |
| DOI: | 10.1016/j.amc.2015.10.082 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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