Transient Radiation-Conductive Heat transfer Problems: The Quadrupole  Method

CORC > 工程热物理研究所 > 中国科学院工程热物理研究所 > Journal of Thermal Science

	Transient Radiation-Conductive Heat transfer Problems: The Quadrupole Method
	Alain Degiovanni; Benjamin Remy; Stephane Andre
刊名	JOURNAL OF THERMAL SCIENCE
	2002
卷号	11 期号:4 页码:359,371
关键词	Heat Conduction Thermal Radiation Coupled Heat Transfer Quadrupole Method.
英文摘要	This paper presents a statement of the works performed in L.E.M.T.A by the members of the thermal and mechanical heterogeneous media research group during the last six years concerning the solving of coupled conductive and radiative heat transfers within a multilayer and semi-transparent “wall”. Out of the authors, this paper allows to take inspiration from the works of D. Maillet, M. Lazard and V. Manias[19, 20, 21]. The aim of these works is to represent in a macroscopic way, with the minimum number of thermophysical parameters, the heat transfers in a plane system composed of semi-transparent media. The approach we propose is semi-analytic (Kernel substitution technique, Laplace transformation) and allow to obtain in the Laplace domain an analytical solution that can be easily used. This method can be applied in two main scopes of applications: the estimation of thermophysical properties (phononic conductivity, optical thickness, Planck number for instance) of semi-transparent materials (glasses, crystals, glass wool, semi-conductors, synthetic diamonds, vitroceramics and so on) and the modelling of processes with semitransparent walls (for instance bottles forming, flat glass production, drying of paper). The method will be first presented and validated and two examples of applications will be then given. This method can be applied to semitransparent walls that emit, absorb and scatter the radiant energy (participating medium). It appears from the principle of a Kernel substitution technique applied to the radiative flux expression and initially introduced by Lick[1] that allows to change the character of the governing heat equation from the integro-differential form to a purely differential one. In the case of limiting cases of purely scattering and purely absorbing media, the solution of the radiative transfer equation is exact. In the general case, we make a two-flux approximation. In all cases, we assume a linear transfer and use the Laplace transform. The method can be applied to grey or grey by bands media, with isotropic or anisotropic scattering. The advantage of the method is fast computational times for good precision.
公开日期	2013-03-12
内容类型	期刊论文
源URL	[http://ir.etp.ac.cn/handle/311046/53624]
专题	工程热物理研究所_Journal of Thermal Science
推荐引用方式 GB/T 7714	Alain Degiovanni,Benjamin Remy,Stephane Andre. Transient Radiation-Conductive Heat transfer Problems: The Quadrupole Method[J]. JOURNAL OF THERMAL SCIENCE,2002,11(4):359,371.
APA	Alain Degiovanni,Benjamin Remy,&Stephane Andre.(2002).Transient Radiation-Conductive Heat transfer Problems: The Quadrupole Method.JOURNAL OF THERMAL SCIENCE,11(4),359,371.
MLA	Alain Degiovanni,et al."Transient Radiation-Conductive Heat transfer Problems: The Quadrupole Method".JOURNAL OF THERMAL SCIENCE 11.4(2002):359,371.