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Diffusion in composite media: Solution with simple eigenvalues and eigenfunctions

✍ Scribed by Peter R. Johnston

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
554 KB
Volume
15
Category
Article
ISSN
0895-7177

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✦ Synopsis

Previously, several techniques have been proposed for solving the differential equations which govern the transient temperature distribution in a composite medium. Most require the solution of a transcendental equation derived from a matrix determinant to obtain the necessary eigenvalues. Until recently, it has been difficult to ensure that all eigenvalues have been obtained in a monotonically increasing fashion. The technique, based on Sturm-Liouville finite integral transform theory, presented here overcomes these problems by using eigenvalues and eigenfunctions which are obtained either explicitly or from a simple transcendental equation.

πŸ“œ SIMILAR VOLUMES

Convective diffusion of heat in composit
Convective diffusion of heat in composite media with heat sources and sinks
✍ B. S. Baker; Dimitri Gidaspow; D. T. Wasan πŸ“‚ Article πŸ“… 1971 πŸ› American Institute of Chemical Engineers 🌐 English βš– 591 KB

Convective diffusion of heat is a problem which arises in many areas. Since most thermal transport situations involve more than one material insulation, supports, etc., the treatment of composite regions is of interest. I n certoin systems, namely, those involving chemical or nuclear reactions, heat