scholarly journals FE2 multi-scale framework for the two-equation model of transient heat conduction in two-phase media

2021 ◽  
Vol 179 ◽  
pp. 121683
Author(s):  
Mingzhao Zhuo
Keyword(s):  
Heat Conduction ◽  
Transient Heat Conduction ◽  
Equation Model ◽  
Two Phase ◽  
Multi Scale

scholarly journals Heat conduction in porcine muscle and blood: experiments and time-fractional telegraph equation model

2019 ◽  
Vol 16 (160) ◽  
pp. 20190726 ◽  
Author(s):  
Amit Madhukar ◽  
Yeonsoo Park ◽  
Woojae Kim ◽  
Hans Julian Sunaryanto ◽  
Richard Berlin ◽  
...  
Keyword(s):  
Heat Conduction ◽  
Initial Boundary ◽  
Transient Heat Conduction ◽  
Telegraph Equation ◽  
Equation Model ◽  
Initial Boundary Value Problems ◽  
Porcine Muscle ◽  
Fractional Telegraph Equation ◽  
Initial Boundary Value ◽  
Best Fit

This paper presents experimental evidence for the damped-hyperbolic nature of transient heat conduction in porcine muscle tissue and blood. An examination of integer order and Maxwell–Cattaneo heat conduction models indicates that the latter, in effect resulting in a time-fractional telegraph (TFT) equation, provides the best fit to transient heat phenomena in such materials. The numerical method is verified on Dirichlet and Neumann initial boundary value problems using existing analytical results. Overall, the TFT equation captures the wave-like nature of heat conduction and temperature profiles obtained in experiments, while reducing the need for further tunable parameters.

TRANSIENT HEAT CONDUCTION IN ANISOTROPIC SOLIDS

1974 ◽  
Author(s):  
Kozo Katayama ◽  
Akio Saito ◽  
Nariyoshi Kobayashi
Keyword(s):  
Heat Conduction ◽  
Transient Heat Conduction

Numerical Solution using SPH Method: An Application to Transient Heat Conduction

2019 ◽  
Author(s):  
Almério José Venâncio Pains Soares Pamplona ◽  
Karoliny Freitas Silva ◽  
Cláudio Bucar Filho ◽  
Joel Vasco
Keyword(s):  
Heat Conduction ◽  
Numerical Solution ◽  
Transient Heat Conduction ◽  
Sph Method
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