NDLI: Heat conduction in periodic laminates with probabilistic distribution of material properties

Content Provider	Springer Nature Link
Author	Ostrowski, Piotr Jędrysiak, Jarosław
Copyright Year	2016
Abstract	This contribution deals with a problem of heat conduction in a two-phase laminate made of periodically distributed micro-laminas along one direction. In general, the Fourier’s Law describing the heat conduction in a considered composite has highly oscillating and discontinuous coefficients. Therefore, the tolerance averaging technique (cf. Woźniak et al. in Thermomechanics of microheterogeneous solids and structures. Monografie - Politechnika Łódzka, Wydawnictwo Politechniki Łódzkiej, Łódź, 2008) is applied. Based on this technique, the averaged differential equations for a tolerance–asymptotic model are derived and solved analytically for given initial-boundary conditions. The second part of this contribution is an investigation of the effect of material properties ratio $$\omega$$ of two components on the total temperature field $$\theta$$ , by the assumption that conductivities of micro-laminas are not necessary uniquely described. Numerical experiments (Monte Carlo simulation) are executed under assumption that $$\omega$$ is a random variable with a fixed probability distribution. At the end, based on the obtained results, a crucial hypothesis is formulated.
Starting Page	1425
Ending Page	1437
Page Count	13
File Format	PDF
ISSN	09477411
Journal	Heat and Mass Transfer
Volume Number	53
Issue Number	4
e-ISSN	14321181
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2016-09-10
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Engineering Thermodynamics, Heat and Mass Transfer Industrial Chemistry/Chemical Engineering Thermodynamics
Content Type	Text
Resource Type	Article
Subject	Fluid Flow and Transfer Processes Condensed Matter Physics

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