Volume 13
Issue 4
Civil Engineering
JOURNAL OF
POLISH
AGRICULTURAL
UNIVERSITIES
Available Online: http://www.ejpau.media.pl/volume13/issue4/abs-15.html
ON THE INFLUENCE OF BOUNDARY LAYER PHENOMENA ONTO AVERAGED TEMPERATURE FIELD
Ewaryst Wierzbicki
Department of Applied Mathematics,
Warsaw University of Life Sciences, Poland
ABSTRACT
The subject of the contribution is a stationary heat conduction problem in the periodically inhomogeneous rigid conductor. As a tool of modeling the tolerance averaging technique is taken into account, [1]. The aim of the considerations is to reformulate the tolerance averaged model of the considered composites to the form which consists of a single equation for averaged temperature and separated formulas represented a certain solution of the boundary layer equation. The characteristic feature of such form of the tolerance model equations is that the single equation for the averaged temperature field includes an integral operator being a certain generalization of the well-known effective modulus matrix.
Key words: heat conduction, periodically inhomogeneous conductor, boundary effect phenomena.
Ewaryst Wierzbicki
Department of Applied Mathematics,
Warsaw University of Life Sciences, Poland
Nowoursynowska 159, 02-776 Warsaw, Poland
email: ewaryst_wierzbicki@sggw.pl
Responses to this article, comments are invited and should be submitted within three months of the publication of the article. If accepted for publication, they will be published in the chapter headed 'Discussions' and hyperlinked to the article.