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The Quarterly Journal of Mechanics and Applied Mathematics 1956 9(2):224-233; doi:10.1093/qjmam/9.2.224
© 1956 by Oxford University Press
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ON THE DYNAMICS OF PHASE GROWTH{dagger}

P. L. CHAMBRÉ

( University of California, Berkeley California, U.S.A. )

The growth of a solid, starting from negligible initial dimensions with either a plane, cylindrical, or spherical boundary, into a surrounding supercooled fluid is discussed. The densities of the solid and fluid are assumed to be unequal. As a consequence a convective motion occurs in the fluid having the characteristics of a source of a source or sink flow because of the fact that a unit mass of fluid occupies, on solidification, a volume differing from the volume originally occupied. The effects of this motion on the rate of growth of the solid phase have been analysed.



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