×

zbMATH — the first resource for mathematics

A two-stage heat transfer model for the peripheral layers of a grain store. (English) Zbl 1056.80002
This paper deals with the heat transfer that occurs in such regions, and in particular within the peripheral layer alonside the vertical grain store wall, where there occur considerable diurnal temperature fluctuations. The two-stage transfer model is adopted from A. McNabb [Factorizable ‘Fruit Cake’ boundary value problems, N. Z. Math. Soc., Suppl. Newsletter No. 12, 9–18 (1978) (per biblio.)] in order to solve the problem of heat transfer in a grain store. Laplace transforms are used to find a semi-analytical solution to the model. Approximate analytical solutions are obtained for the inverse Laplace transforms for small and large time.
MSC:
80A20 Heat and mass transfer, heat flow (MSC2010)
PDF BibTeX XML Cite
Full Text: DOI EuDML