Numerical simulations of thermosolutal instability during directional solidification of a binary alloy
type: Item
instance of: scholarly article
title: Numerical simulations of thermosolutal instability during directional solidification of a binary alloy
zbMATH Open document ID: 0631.76106
DOI: 10.1016/0045-7825(88)90167-3
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1988-01-01T00:00:00Z
review text: A finite element model is used for the study of thermosolutal convection in binary alloys during vertical directional solidification under the assumption of a planar undeformable interface with constant growth velocity. The fluid region is modeled as a two-dimensional viscous incompressible flow that satisfies the Boussinesq approximation, coupled with two convective-diffusion equations for thermal and solute transport. Results obtained for the case of an infinitely wide layer of fluid, assuming that the flow is cyclic in that direction, are in excellent agreement with previously calculated ones and give the first independent verification of the results. Calculations for a finite layer of fluid, bounded by solid adiabatic vertical walls, are also performed, and the results discussed.
Mathematics Subject Classification ID: 76R99
zbMATH DE Number: 4027096
zbMATH Keywords: finite element model
zbMATH Keywords: thermosolutal convection
zbMATH Keywords: binary alloys
zbMATH Keywords: vertical directional solidification
zbMATH Keywords: planar undeformable interface
zbMATH Keywords: two- dimensional viscous incompressible flow
zbMATH Keywords: Boussinesq approximation
zbMATH Keywords: convective-diffusion equations
author: Juan C. Heinrich
MaRDI profile type: Publication
full work available at URL: 0045-7825(88)90167-3
OpenAlex ID: W2073775730
cites work: Buoyancy Effects in Fluids
cites work: A finite element model for double diffusive convection
cites work: Finite element simulation of buoyancy-driven flows with emphasis on natural convection in a horizontal circular cylinder
description: scientific article; zbMATH DE number 4027096