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fluent-固化模型

Introduction:This tutorial illustrates how to set up and solve a prob-lem involving solidi?cation.In this tutorial,you will learn how to:

?De?ne a solidi?cation problem

?De?ne pull velocities for simulation of continuous casting

?De?ne a surface tension gradient for Marangoni convection

?Solve a solidi?cation problem

Prerequisites:This tutorial assumes that you are familiar with the menu structure in FLUENT,and that you have solved Tutorial1.

Some steps in the setup and solution procedure will not be shown explicitly.

Problem Description:This tutorial demonstrates the setup and solu-tion procedure for a?uid?ow and heat transfer problem involving solidi?cation,namely the Czochralski growth process.The geome-try considered is a2D axisymmetric bowl(shown in Figure19.1), containing a liquid metal.The bottom and sides of the bowl are heated above the liquidus temperature,as is the free surface of the liquid.The liquid is solidi?ed by heat loss from the crystal and the solid is pulled out of the domain at a rate of0.001m/s and a temperature of500K.There is a steady injection of liquid at the bottom of the bowl with a velocity of1.01×10?3and a temperature of1300K.Material properties are listed in Figure19.1.

Starting with an existing2D mesh,the details regarding the setup and solution procedure for the solidi?cation problem are presented.

The steady conduction solution for this problem is computed as an initial condition.Then,the?uid?ow is turned on to investigate the e?ect of natural and Marangoni convection in an unsteady fashion.

c Fluent Inc.November27,200119-1

Modeling Solidi?cation u = 0.001 m/s

? = 1 rad/s

0.1 m

ρ = 8000 ? 0.1*T kg/m 3

μ = 5.53 x 10 kg/m-s -3k = 30 W/m-K c = 680 J/kg-K p ?σ/?T = ?3.6 x 10 N/m-K -4solidus liquidus T = 1100 K T = 1200 K L = 1 x 10 J/kg 5mush A = 1 x 10 kg/m -s 43T = 500 K

Figure 19.1:Solidi?cation in Czochralski model

19-2c

Fluent Inc.November 27,2001

Modeling Solidi?cation

Modeling Solidi?cation

Modeling Solidi?cation

Modeling Solidi?cation

Modeling Solidi?cation

Modeling Solidi?cation

Modeling Solidi?cation

Modeling Solidi?cation

Modeling Solidi?cation

Modeling Solidi?cation

Modeling Solidi?cation

Modeling Solidi?cation

Modeling Solidi?cation

Modeling Solidi?cation

Modeling Solidi?cation

Modeling Solidi?cation

Modeling Solidi?cation