On nonlinear transient state of modal package convection in a mushy layer
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چکیده
منابع مشابه
Shear-enhanced convection in a mushy layer
We investigate the effect of an external shear flow on the buoyant instabilities inherent in the directional solidification of a dendritic mushy layer. In the presence of an external shear flow, perturbations of the mush–liquid interface lead to perturbed flow in the bulk fluid that create pressure variations along the mush–liquid interface. These pressure variations drive flow in the mushy lay...
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We study the problem of nonlinear development of oscillatory convective instability in a two-dimensional mushy layer during solidification of a binary mixture. We adopt the near-eutectic limit, making the problem analytically tractable using standard perturbation techniques. We consider also a distinguished limit of large Stefan number, which allows a destabilization of the system to an oscilla...
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We consider the solidi cation of a binary alloy in a mushy layer and analyse the system near the onset of buoyancy-driven convection in the layer. We employ a near-eutectic approximation and consider the limit of large fareld temperature. These asymptotic limits allow us to examine the rich dynamics of the mushy layer in the form of small deviations from the classical case of convection in a ho...
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An Analytical Study of Weakly Nonlinear Convection in a Horizontal Mushy Layer Prof. Dr. P. K. Srimani R & D Director (DSI), Former Chairman, B.U. Bangalore, Karnataka, INDIA Mr. R. Parthasarathi Prof. and HOD, Dept. Mathematics, Jain University – CMS, Bangalore, Karnataka, INDIA _______________________________________________________________________________________ Abstract: The present analyt...
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As a molten alloy or any multi-component liquid is cooled and solidified the growing solid phase usually forms a porous matrix through which the residual liquid can flow. The reactive two-phase medium comprising the solid matrix and residual liquid is called a mushy layer. Buoyancy forces, owing primarily to compositional depletion as one or more of the components of the alloy are extracted to ...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2016
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2015.0810