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- W3213440810 abstract "• Explicit traveling-wave-type solutions to the Maxwell-Cattaneo scheme. • Asymptotic analysis of a nonlinear modification of Maxwell-Cattaneos scheme. • Foundations of Capriz-Wilmanski-Marianos non-linear non-Fourier heat conduction. We compare traveling-wave-type solutions to Maxwell-Cattaneo’s description of heat transfer with those of Capriz-Wilmanski-Mariano’s version, which includes nonlinearities due to microstructural contributions in the presence of heat-flux-driven phase transition in a conductor otherwise rigid. Our closed-form results for the nonlinear scheme, based on asymptotic-type analysis, show how temperature traveling-wave-type evolution is perturbed by the influence of microstructural effects. Also, our results underline how even in Maxwell-Cattaneo’s scheme initial conditions in terms of heat flux and temperature have some hidden link, although in the scheme these variables are a priori independent with each other." @default.
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- W3213440810 date "2022-02-01" @default.
- W3213440810 modified "2023-09-27" @default.
- W3213440810 title "Solutions of linear and nonlinear schemes for non-Fourier heat conduction" @default.
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- W3213440810 doi "https://doi.org/10.1016/j.ijheatmasstransfer.2021.122193" @default.
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