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Mathematical Modelling and Application to Solidification in vertical continuous Casting Mould
| Content Provider | Semantic Scholar |
|---|---|
| Author | Prasad, Anant |
| Copyright Year | 1990 |
| Abstract | Various features of a mathematical model are describes along with its limitations and advantages. Essential steps to cevelop a mathematical model for a physical problem are stated. To identify independent parameters controlling the process involved in the physical problem, use of simil-arity and dimensional analyses is presented. Methods of solutions applied particularly to conduction with and without phase-change are suggested. A mathematical model is developed for solidification with air-gap formation in the vertical mould of a cont-inuous casting machine. similarity analysis predicts that this modelis controlled by two independent para-meters, the stefan number, St and the ratio of densities of solid liquid phases. The governing equation along with non-linear boundary condition due to moving solid-liquid interface is solved using the heat balance integral and the quasi-steady methods. They yielded closed form solutions for solidified-shell thickness, air-gap and mould wall temperature in terms of these two parameters. The validity of the model is confirmed with the exper-imental results and theoretical analysis for no air gals formation in the continuous casting. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://eprints.nmlindia.org/3940/1/Anant_prasad.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
