带相变的连续浇铸铸坯温度场分析<sup>*</sup>

带相变的连续浇铸铸坯温度场分析^*

基金项目: * 国家自然科学基金

Shanghai University of Technology;Shanghai Instituie of Applied Mathematics and Mechanics, Shanghai

摘要: 本文通过适当变换,将考虑铸坯相变潜热影响的三维稳态非线性温度场问题,化成等效的二维瞬态非线性问题来求解,并用等效比热代替相变影响,给出了有限元计算公式,并对相变区作了精确仔细的处理。
- 连铸 /
- 相变 /
- 温度场
Abstract: In this paper,the problem of 3-D steady heat conduction including the influence of phase change on billets is turned into the 2-D transient problem by a suitable transformation technique. The effective specific heat has been employed to substitute for the effect of the phase ceange.The computational formulation of finite element has been presented. And the careful disposal of the phase change region has also been given.
- continuous casting /
- phase change /
- temperature field

[1]	Rolph, W.D.and K.J.Bathe, An efficient algorithm for the analysis of nonlinear heat transfer with please changes, Int, J, Numer, Methods Eng,18(1)(2. 1982),119-134.
[2]	Salcudean, M,et al,Numerical simulation of casting processing, Pro, of Ⅷ Int. Heat Transfer Conference, San Francisco(1986),12-22.
[3]	Loyd, D.,et.al.,Thermal analysis of solidif ication,Int, J,Communications Appl, Numer, Methods, 4(1988).607.
[4]	Comini, et:.al.,Finite element solution of nonlinear heat con duction problems with special reference to phase change, Int.J, Numer, Methods Eng,4 (1974),613-624.
[5]	Pham, Q.T.,A fast unconditionally stable finite difference scheme for phase change, Int, J.Heat Mass Transfer, yg(11)(2. 1985),2079-2084.
[6]	Voller, V, R.,et, al.,A figed grid numerical modelling methodology for c:onveetion-diffusion mushy region phase change problems, Int, J, Heat Mass Transfer, 30(8)(2. 1987).1709-1719.
[7]	Yidiag, C,et, al,A numerical analysis of Stefen problem for generalized multi-dimensional phase-change structures using the enthrapy transforming modelliag, Int, J, Heat Mass Transfer, 32(7) (1989), 1289-1298.
[8]	Л.Д.朗道等,《连续介质力学》.第五章,彭旭麟译,人民教育出版社(1958).
[9]	Bathe, K, J.,et, al.,Finite element formulation and solution of nonlinear heat transfer, Nuclear Engineering and Design, 51(2) (1979), 349-401.
[10]	Budhia, H,et, al,Heat transfer with melting or freezing in a wedze, Int,J, Heat Moss Transfer, 16(2)(2. 1973), 195-211.