Instability of the self-similar front of a phase transition |
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Authors: | Yu A Buevich |
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Affiliation: | (1) Ural State University, Sverdlovsk |
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Abstract: | The stability of self-similar diffusional processes with respect to small disturbances of plane, cylindrical, and spherical phase interfaces is investigated.Notation c
weight concentration in solution
- D
coefficient of diffusion
- K
curvature
- n
angular number
- R
radius of cylinder or sphere
- r, r
radial coordinate and disturbance of the surface r=R
- t
time
- u
velocity of front
- x, y, z
linear coordinates
- X
coordinate of front
- x
disturbance of a plane front
-
parameter of growth rate
-
coefficient of surface tension
-
parameter introduced in (8) or (21)
- ,
dimensionless disturbance of surface of the front and its amplitude
- , , ,
dimensionless coordinates
- ,
angular coordinates
-
H
dimensionless wave number
-
wavelength of disturbance
-
concentration in solid
-
dimensionless time
- ( ),
amplitudes of disturbances of concentration
-
dimensionless concentration
-
dimensionless growth increment of disturbances
Indices 0 and
states at a plane front and in the solution far from the front
- anasterisk
state at a curved front
- m
fastest growing disturbances
- a
degree sign pertains to self-similar variables
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 40, No. 5, pp. 818–827, May, 1981. |
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Keywords: | |
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