Cotta, R. M.; Nogueira, E. On the eigenvalues basic to diffusion through composite media. (English) Zbl 0673.65047 Mat. Apl. Comput. 7, No. 3, 201-213 (1988). By a combination of the ideas by R. M. Cotta et al. [Thermally developing concurrent-flow circular double-pipe heat exchanger analysis, 8th Int. Heat Transfer. Conf., Vol. 6, San Francisco (1986)] and the sign-count method by M. D. Mikhailov and N. L. Vulchanov [J. Comput. Phys. 50, 323-336 (1983; Zbl 0516.65072)] an automatic procedure is proposed for the solution of Sturm-Liouville eigenvalue problems in composite media with discontinuities at the interfaces. The original multi-region problem with variable coefficients is replaced by another multi-region problem with a larger number of regions but with constant coefficients. For illustration heat conduction through a three-region slab and forced convection in a two-phase flow is treated and the corresponding eigenvalues are tabulated. Reviewer: V.Burjan Cited in 2 Documents MSC: 65L15 Numerical solution of eigenvalue problems involving ordinary differential equations 80A20 Heat and mass transfer, heat flow (MSC2010) 34L99 Ordinary differential operators 76R05 Forced convection Keywords:Sturm-Liouville eigenvalue problems; composite media; multi-region problem; heat conduction; forced convection; two-phase flow Citations:Zbl 0516.65072 PDFBibTeX XMLCite \textit{R. M. Cotta} and \textit{E. Nogueira}, Mat. Apl. Comput. 7, No. 3, 201--213 (1988; Zbl 0673.65047)