Asymptotic averaging technique for heat conduction problems with phase transitions in layered media

1995 ◽  
Vol 36 (5) ◽  
pp. 773-780
Author(s):  
A. N. Vlasov ◽  
V. L. Savatorova ◽  
A. V. Talonov
Keyword(s):  
Phase Transitions ◽  
Heat Conduction ◽  
Layered Media ◽  
Averaging Technique ◽  
Asymptotic Averaging

A matrix method for heat conduction in multi-layered media

1969 ◽  
Vol 73 (1) ◽  
pp. 143-151 ◽  
Author(s):  
Janardan G. Negi ◽  
Rishi Narain Singh
Keyword(s):  
Heat Conduction ◽  
Matrix Method ◽  
Layered Media

Thermal Effects of Phase Transformations: A General Approach

2006 ◽  
Vol 979 ◽  
Author(s):  
Alex Umantsev
Keyword(s):  
Phase Transitions ◽  
Heat Conduction ◽  
Phase Transformations ◽  
Latent Heat ◽  
Thermal Effects ◽  
Ginzburg Landau ◽  
Theoretical Methods ◽  
Complete Account ◽  
Nucleation Growth

AbstractAll stages of phase transformations in materials, nucleation, growth, and coarsening, are subjected to thermal effects that stem from the redistribution of energy in the system like, release of latent heat and heat conduction. The thermal effects change the rate and outcome of the transformation and may result in appearance of unusual states or phases, in particular in nanosystems. This paper is not a complete account of the theory of thermal effects; it is rather a guide through many seemingly unrelated effects in different phase transformations, which in fact have unified origin. Although the dynamical Ginzburg-Landau approach will be used for the analysis of the effects, they are robust and independent of the employed theoretical methods. Another purpose of this review is to bring these effects to the attention of experimenters and motivate them on conducting new experiments in the area of phase transitions.

On the correctness of a model for phase transitions in binary alloys

1990 ◽  
Vol 1 (4) ◽  
pp. 327-338 ◽  
Author(s):  
I. G. Götz
Keyword(s):  
Phase Transitions ◽  
Heat Conduction ◽  
Stability Criterion ◽  
Binary Alloys ◽  
The Self ◽  
Self Similar Solution ◽  
Self Similar ◽  
The Stability ◽  
Similar Solutions ◽  
And Diffusion

The main result of this paper is a non-uniqueness theorem for the self-similar solutions of a model for phase transitions in binary alloys. The reason for this non-uniqueness is the discontinuity in the coefficients of heat conduction and diffusion at the inter-phase. Also the existence of a self-similar solution and the stability criterion are discussed.

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