## Abstract Exact analytical solutions of the critical Rayleigh numbers have been obtained for a hydrothermal system consisting of a horizontal porous layer with temperatureโdependent viscosity. The boundary conditions considered are constant temperature and zero vertical Darcy velocity at both the
Numerical investigation of convection/diffusion phase change of a metal with temperature-dependent viscosity
โ Scribed by Esikova, N. B. ;Iliev, O. P. ;Vabishchevich, P. N.
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 1992
- Tongue
- English
- Weight
- 593 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0748-8025
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โฆ Synopsis
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 5 1 x 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, Y/YO = exp ( -a(T-1)). The influence of the Grashof number and of the parameter o on heat and mass transfer are investigated.
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