Homogenization of a thermal problem with the fourier conditions in the thin plates of a heat exchanger

Abstract EN

In this paper was studied a thermal problem with the Fourier boundary conditions on the edges of the holes in a periodically perforated plate of a heat exchanger: This problem contains several reduced parameters which can be very small (the period s of the distribution of the holes, the reduced thickness e of the plate and the three Biot numbers relative to the different parts of the boundary).

The homogenization technique was used to estimate the field of temperatures attainable in the upper plate, depending on the relative order of magnitude of the smell parameters.