Contribution of segregation and diffusion to refractory-material heat conduction

1978 ◽  
Vol 35 (5) ◽  
pp. 1367-1369
Author(s):  
E. Ya. Litovskii ◽  
A. V. Klimovich
Keyword(s):  
Heat Conduction ◽  
Refractory Material ◽  
And Diffusion

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.

scholarly journals Integral formulation of solutions of boundary-value problems of heat and mass transfer in domains with moving boundaries

2021 ◽  
Vol 29 (1) ◽  
pp. 73-91
Author(s):  
Valentin V. Shevelev
Keyword(s):  
Heat Conduction ◽  
Boundary Value Problems ◽  
Moving Boundary ◽  
Boundary Value ◽  
Phase Region ◽  
Integral Representations ◽  
Two Phase ◽  
Self Similar ◽  
The Fourier Transform ◽  
And Diffusion

Using the Fourier transform, integral representations of solutions to boundary value problems of heat conduction and diffusion in a two-phase region with a moving interface are obtained. The proposed approach makes it possible to obtain the equation of motion of the interface without the need to first find the temperature and (or) concentration fields. This makes it possible to study the stability of the interface with respect to disturbances in its shape. The validity of the proposed approach is demonstrated by the example of self-similar growth of a spherical crystal in a supercooled melt and crystallization of the melt on a substrate of the same substance. On the basis of the obtained equation, which determines the rate of self-similar motion of the interface, the features of the kinetics of crystallization of the melt on the substrate are analyzed. The conditions of applicability of the developed approach to the solution of boundary value problems of heat conduction and diffusion in regions separated by a moving boundary are briefly discussed.

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