On nonlinear convection in mushy layers. Part 2. Mixed oscillatory and stationary modes of convection
نویسندگان
چکیده
منابع مشابه
Nonlinear oscillatory convection in mushy layers
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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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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Thermal convection in a rotating cylinder near onset is investigated using direct numerical simulations of the Navier–Stokes equations with the Boussinesq approximation in a regime dominated by the Coriolis force. For thermal driving too small to support convection throughout the entire cell, convection sets in as alternating pairs of hot and cold plumes in the sidewall boundary layer, the so-c...
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A linear stability analysis is performed on a thermal, stratified liquid layer with a deformable thermocapillary surface. The objective is to investigate the possibility and conditions for existence of oscillatory cellular convection in the linear thermocapillary system. In general, the principle of the exchange of stabilities for the onset of cellular convection in liquid layers with deformabl...
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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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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2004
ISSN: 0022-1120,1469-7645
DOI: 10.1017/s0022112004000849