One-dimensional motion of an emulsion with solidification |
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Authors: | A G Petrova V V Pukhnachev |
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Institution: | (1) Altai State University, 656099 Barnaul;(2) Lavrent’ev Institute of Hydrodynamics, 630090 Novosibirsk |
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Abstract: | A mathematical model is proposed for the process of solidification of an emulsion with a small disperse-phase concentration
moving under the action of thermocapillary forces and microgravity. The first-approximation problem that arises when solutions
are represented as asymptotic series in a small parameter is examined. Conditions for the partial and complete displacement
of the impurity from the solidified part and conditions for the accumulation of the impurity in the solidified mixture are
obtained. The problem of producing a composite with a specified disperse-phase distribution is considered. Exact solutions
that adequately reflect various features of the qualitative behavior of the general solution under different input data are
obtained and examined.
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 3, pp. 128–136, May–June, 1999. |
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