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Numerical investigation of convection/diffusion phase change of a metal with temperature-dependent viscosity

: Esikova, N.; Iliev, O.; Vabishchevich, P.


Communications in numerical methods in engineering 8 (1992), No.12, pp.857-868
ISSN: 1099-0887
ISSN: 1069-8299
ISSN: 0748-8025
Journal Article
Fraunhofer ITWM ()

Heat and mass transfer during crystallization in a square cavity, involving natural laminary convection of liquid metal with temperature-dependent viscosity, are investigated numerically on a grid with 51 × 51 nodes. A brief survey of existing techniques for convection/diffusion phase change problems is given. A fixed grid numerical methodology, based on the fictitious regions method, is used for solving the 2-D Stefan problem coupled with the Navier–Stokes equations in the Boussinesq approximation. The viscosity variation is modelled by an exponential form, ν/ν0 = exp ( – α(T – 1)). The influence of the Grashof number and of the parameter α on heat and mass transfer are investigated.