6533b7ddfe1ef96bd12747e8

RESEARCH PRODUCT

Heat Conduction Problem for Double-Layered Ball

Andris BuikisSanda Blomkalna

subject

Physicssymbols.namesakeFourier transformCritical heat fluxDouble layeredMathematical analysisSlabsymbolsHeat equationBoundary value problemBall (mathematics)Thermal conduction

description

Heat conduction models for double layered spherical sample are developed. Parabolic (classic, based on Fourier’s Law) and hyperbolic (based on Modified Fourier’s Law) heat conduction equations are used to describe processes in the sample during Intensive Quenching. Solution and numerical results are obtained for 1D model using Conservative Averaging method and transforming the original problem for a sphere to a new problem for a slab, with non classic boundary condition. Models include boundary conditions of third kind and non-linear BC case. Numerical results are presented for several relaxation time and initial heat flux values.

yearjournalcountryeditionlanguage
2014-01-01
https://doi.org/10.1007/978-3-319-05365-3_58