Heat equation in a perforated composite plate: influence of a coating

Autor:	K. Taous, Gérard Maurice, M. Taghite
Rok vydání:	2002
Předmět:	Singular perturbation Biot number Mechanical Engineering General Engineering Thermodynamics Geometry Thermal conduction Homogenization (chemistry) Mechanics of Materials Composite plate General Materials Science Heat equation Boundary value problem Mathematics Dimensionless quantity
Zdroj:	International Journal of Engineering Science. 40:1611-1645
ISSN:	0020-7225
DOI:	10.1016/s0020-7225(02)00036-8
Popis:	This paper deals with the homogenization of the heat equation in a periodically perforated composite plate. After giving a dimension analysis of the original mathematical model, we are led to an anisotropic singular perturbation boundary-value problem which involves non-standard boundary conditions. There are several dimensionless physical variables like the Biot numbers B p (p=−,+,c − and c + ) , the period e of the distribution of the holes, the respective relative thickness e, δ of the plate and the coating, and ratio λ of the heat conductivities. We only study situations in which the parameters B−, B+ and e are of the order of unity and e≺≺1,δ≺≺1,λ≺≺1.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4375cfe8edddb4151033d9dd5c3752fa https://doi.org/10.1016/s0020-7225(02)00036-8 Zobrazit plný text záznamu Full Text from ScienceDirect