Asymptotic solution of cellular growth in directional solidification
The present thesis is concerned with steady state of cellular growth in directional solidification with a small Peclet number and isotropic surface tension. A uniformly valid asymptotic expansion solution is obtained by applying the MVE (Multiple Variables Expansion) method. The results of the prese...
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| Format: | Others |
| Language: | en |
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McGill University
1999
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| Online Access: | http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=21585 |
| Summary: | The present thesis is concerned with steady state of cellular growth in directional solidification with a small Peclet number and isotropic surface tension. A uniformly valid asymptotic expansion solution is obtained by applying the MVE (Multiple Variables Expansion) method. The results of the present thesis show that this system allows a continuous family of steady state solutions with a undetermined, interfacial stability parameter epsilon and a discrete quantization number n. Not all these solutions are observable in the experiments, so the selection problem remains. |
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