Выходит 12 номеров в год
ISSN Печать: 1091-028X
ISSN Онлайн: 1934-0508
Indexed in
Moderate Time Scale Linear Stability of Moderate Stefan Number Convection In Rotating Mushy Layers
Краткое описание
The solidification of a binary alloy in a mushy layer subject to Coriolis effects is considered. 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 linear stability theory is used to investigate analytically the Coriolis effect in a rotating mushy layer for both stationary and oscillatory convection for a new time scale proposed by the author. The linear theory established that in contrast to the problem of a stationary mushy layer, rotating the mushy layer has a stabilizing effect on convection. In addition it was found that the critical Rayleigh number and wave number are independent of the Toylor number for the case of oscillatory convection.
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Govender S., Stability of Gravity Driven Convection in a Cylindrical Porous Layer Subjected to Vibration, Transport in Porous Media, 63, 3, 2006. Crossref
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Pillay S. K., Govender S., Stability of Solutal Convection in a Gravity Modulated Mushy Layer During the Solidification of Binary Alloys, Transport in Porous Media, 60, 2, 2005. Crossref
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Vanishree R. K., Siddheshwar P. G., Effect of Rotation on Thermal Convection in an Anisotropic Porous Medium with Temperature-dependent Viscosity, Transport in Porous Media, 81, 1, 2010. Crossref
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Govender Saneshan, An analogy between a gravity modulated porous layer heated from below and the inverted pendulum with an oscillating pivot point, Transport in Porous Media, 67, 2, 2007. Crossref
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Goldstein R.J., Eckert E.R.G., Ibele W.E., Patankar S.V., Simon T.W., Kuehn T.H., Strykowski P.J., Tamma K.K., Bar-Cohen A., Heberlein J.V.R., Davidson J.H., Bischof J., Kulacki F.A., Kortshagen U., Garrick S., Srinivasan V., Heat transfer—a review of 2002 literature, International Journal of Heat and Mass Transfer, 48, 5, 2005. 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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Nield Donald A., Bejan Adrian, Convection with Change of Phase, in Convection in Porous Media, 2013. Crossref
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Govender Saneshan, Moderate Stefan Number Convection in Rotating Mushy Layers: A New Darcy Equation Formulation, Transport in Porous Media, 59, 2, 2005. Crossref
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Govender Saneshan, Weak Non-Linear Analysis of Convection in a Gravity Modulated Porous Layer, Transport in Porous Media, 60, 1, 2005. Crossref
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Govender Saneshan, Stability of Gravity Driven Convection in a Cylindrical Porous Layer Subjected to Vibration, Heat Transfer, Volume 1, 2006. Crossref
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Siddheshwar P. G., Veena B. N., Effect of Non-inertial Acceleration on Brinkman–Bénard Convection in Water-Copper Nanoliquid-Saturated Porous Enclosures, International Journal of Applied and Computational Mathematics, 7, 3, 2021. Crossref