Boundary-Layer Phenomena in a Laminated Rigid Heat Conductor
Łukasz Łaciński, Czesław Woźniak · Journal of Thermal Stresses · 2006
In the contribution it is shown that a temperature distribution in a laminated rigid conductor can suffer certain near-boundary and near-initial fluctuations. These fluctuations are caused by periodic heterogeneity of a conductor. The aim of the research is to investigate the above fluctuations. To this end a certain approximate mathematical model for the heat transfer analysis in a laminated conductor is proposed. The main feature of the model is a decomposition of the heat conduction problem into an independent boundary-layer problem for temperature fluctuations and a problem of finding the averaged temperature. This fact makes it possible to satisfy boundary and initial conditions for temperature not only by its averaged part but also by temperature fluctuations. For selected problems the obtained results are compared with those derived from the homogenized model as well as from the exact Fourier heat transfer equation. It is shown that in contrast to the known homogenized model the proposed model describes the initial and material boundary layer effect on the heat transfer in a laminated rigid conductor.