Weak Nonlinear Analysis of Moderate Stefan Number Oscillatory Convection in Rotating Mushy Layers |
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Authors: | Govender Saneshan Vadasz Peter |
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Affiliation: | (1) School of Mechanical Engineering, University of Natal, King George IV Avenue, Durban, 4001, South Africa |
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Abstract: | We consider the solidification of a binary alloy in a mushy layer subject to Coriolis effects. A near-eutectic approximation and large far-field temperature is employed in order to study the dynamics of the mushy layer with a Stefan number of unit order of magnitude. The weak nonlinear theory is used to investigate analytically the Coriolis effect in a rotating mushy layer for a new moderate time scale proposed by the author. It is found that increasing the Taylor number favoured the forward bifurcation. |
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Keywords: | rotating flows mushy layers free convection Taylor number solidification oscillatory convection |
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