Spectral collocation method for convective-radiative transfer of a moving rod with variable thermal conductivity
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论文类型：期刊论文
发表时间：2015-04-01
发表刊物：INTERNATIONAL JOURNAL OF THERMAL SCIENCES
收录刊物：SCIE、EI
卷号：90
页面范围：187-196
ISSN号：1290-0729
关键字：Spectral collocation method; Moving convective-radiative rod; Temperature dependent thermal conductivity; Nonlinear differential equation
摘要：In the thermal processing of continuous casting and rolling, the metal is continuously moving. The sections of the moving metal can be rod, sheet or other structural ones. Usually, the thermal conductivity of metals will vary with temperature. In this paper, the spectral collocation method (SCM) is presented and formulated to simulate the heat transfer process in a continuously moving convective-radiative rod with variable thermal conductivity. In this approach, the dimensionless temperature is approximated by Chebyshev polynomials and discretized by Chebyshev-Gauss-Lobatto collocation points. A particular algorithm is used to reduce the nonlinearity of the energy conservation equation. Compared with those available data in literature, the SCM can provide good accuracy for a wide range of parameters, such as the dimensionless thermal conductivity coefficient, the convective conductive parameter, the radiative-conductive parameter, the Peclet number, the dimensionless convective sink temperature, and the dimensionless radiative sink temperature. Meanwhile, the SCM can provide exponential convergence rate against node for the present problem. Moreover, the effects of various aforementioned parameters on the dimensionless temperature distribution and the dimensionless tip temperature are discussed and physically interpreted. (C) 2014 Elsevier Masson SAS. All rights reserved.
发表时间：2015-04-01