NEWTON METHOD FOR SOLVING HEAT-TRANSFER, FLUID-FLOW AND INTERFACE SHAPES IN A FLOATING MOLTEN ZONE

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题名:	NEWTON METHOD FOR SOLVING HEAT-TRANSFER, FLUID-FLOW AND INTERFACE SHAPES IN A FLOATING MOLTEN ZONE
作者:	LAN,CW
贡献者:	化學工程與材料工程學系
关键词:	RADIAL DOPANT SEGREGATION;CRYSTAL-GROWTH;THERMOCAPILLARY CONVECTION;SURFACE-TENSION;FINITE-ELEMENT;LINEAR-SYSTEMS;NORMAL GRAVITY;DRIVEN FLOW;ROTATION;STEADY
日期:	1994
上传时间:	2010-06-29 17:34:09 (UTC+8)
出版者:	中央大學
摘要:	Newton's method is applied to the finite volume approximation for the steady state heat transfer, fluid flow and unknown interfaces in a floating molten zone. The streamfunction/vorticity and temperature formulation of the Navier-Stokes and energy equations and their associated boundary conditions are written in generalized curvilinear co-ordinates and conservative law form with the Boussinesq approximation. During Newton iteration the ILU(0) preconditioned GMRES matrix solver is applied for solving the linear system, where the sparse Jacobian matrix is estimated by finite differences. Nearly quadratic convergence of the method is observed. Sample calculations are reported for sodium nitrate, a high-Prandtl-number material (Pr = 9.12). Both natural convection and thermocapillary flow as well as an overall mass balance constraint in the molten zone are considered. The effects of convection and heat input on the flow patterns, zone position and interface shapes are illustrated. After the lens effect due to the molten zone is considered, the calculated flow patterns and interface shapes are compared with the observed ones and are found to be in good agreement.
關聯:	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
显示于类别:	[化學工程與材料工程研究所] 期刊論文

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