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ISSN Online: 2377-424X

ISBN Print: 1-56032-797-9

International Heat Transfer Conference 11
August, 23-28, 1998, Kyongju, Korea

AN EXTENDED SIMILARITY SOLUTION FOR THE ALLOY SOLIDIFICATION SYSTEM

Get access (open in a dialog) DOI: 10.1615/IHTC11.1060
pages 187-192

Résumé

This paper presents an extended similarity solution for the alloy solidifcation system, where both the temperature-solute coupling caused by shrinkage-induced flow and finite back diffusion are taken into account. A new exact solution to the energy equation including the convection term in the pure liquid region is successfully derived, which allows the present analysis to cover a high initial superheating. Differences in property between the solid and liquid phases are completely incorporated into the model equations in the solid fraction-weighted form. Based on a linearized correction scheme, a systematic algorithm for determining the solidus and liquidus positions is developed, and it proves to converge stably and efficiently. For a specific case, the present results show close agreements with the published data. The effect of convection in the liquid region is found to be appreciable as the initial superheating increases. It is also revealed that variable properties in the mushy region significantly affect the solidification behaviors.