The linear stability theory is used to investigate the effects of gravity modulation on solutal convection in mushy layers found in solidifying binary alloys. The gravitational field is modeled to consist of constant part and a sinusoidally varying part. The linear stability results are presented for both the synchronous and subharmonic solutions, and it is demonstrated that up to the transition point between the synchronous and subharmonic regions, increasing the frequency of vibration rapidly stabilizes the solutal convection. However, beyond the transition point, further increases in the frequency tends to destabilize convection. It is also demonstrated that the effect of increasing the ratio of the Stefan number and the solid composition (ηo) is to destabilize the solutal convection.
- Heat Transfer Division and Electronic and Photonic Packaging Division
Stability of Solutal Convection in a Gravity Modulated Mushy Layer During the Solidification of Binary Alloys
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Govender, S. "Stability of Solutal Convection in a Gravity Modulated Mushy Layer During the Solidification of Binary Alloys." Proceedings of the ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems. Heat Transfer: Volume 2. San Francisco, California, USA. July 17–22, 2005. pp. 393-399. ASME. https://doi.org/10.1115/HT2005-72097
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