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ISSN Druckformat: 1091-028X
ISSN Online: 1934-0508
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Finite Amplitude Analysis of Convection in Rotating Mushy Layers during the Solidification of Binary Alloys
ABSTRAKT
We consider the Solidification of a binary alloy in a mushy layer (or reactive porous 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 in the form of small deviations from the classical case of convection in a horizontal passive porous. The linear stability theory is used to investigate the Coriolis effect analytically in a rotating mushy layer for a new diffusion time scale proposed by the author. Weak nonlinear analysis provides differential equations for the amplitude, corresponding to both stationary and oscillatory convection.
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Goldstein R.J., Ibele W.E., Patankar S.V., Simon T.W., Kuehn T.H., Strykowski P.J., Tamma K.K., Heberlein J.V.R., Davidson J.H., Bischof J., Kulacki F.A., Kortshagen U., Garrick S., Srinivasan V., Heat transfer—A review of 2003 literature, International Journal of Heat and Mass Transfer, 49, 3-4, 2006. Crossref
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Nield Donald A., Bejan Adrian, Convection with Change of Phase, in Convection in Porous Media, 2017. Crossref
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Govender Saneshan, Stefan Number Effect on the Transition from Stationary to Oscillatory Convection in a Solidifying Mushy Layer Subjected to Rotation, Transport in Porous Media, 58, 3, 2005. Crossref
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Nield Donald A., Bejan Adrian, Convection with Change of Phase, in Convection in Porous Media, 2013. Crossref