A Green's Function for the Domain Bounded by Nonconcentric Spheres

Autor:	Hung-Chih Shieh, Jia-Wei Lee, Jeng-Tzong Chen
Rok vydání:	2012
Předmět:	symbols.namesake Mechanics of Materials Mechanical Engineering Green's function Bounded function Mathematical analysis symbols SPHERES Annulus (mathematics) Condensed Matter Physics Domain (mathematical analysis) Mathematics
Zdroj:	Journal of Applied Mechanics. 80
ISSN:	1528-9036 0021-8936
Popis:	The main result is the analytical derivation of Green's function for the domain bounded by nonconcentric spheres in terms of bispherical coordinates. Both surfaces, inner and outer boundaries, are specified by the Dirichlet boundary conditions. This work can be seen as an extension study for the Green's function of eccentric annulus derived by Heyda (1959, “A Green's Function Solution for the Case of Laminar Incompressible Flow Between Non-Concentric Circular Cylinders,” J. Franklin Inst., 267, pp. 25–34). To verify the solution, a semianalytical solution using the image method and a numerical solution using the method of fundamental solutions (MFS) are utilized for comparisons. Good agreement is made.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e909b5d5ac6e42c56b545d9a0b38e75e https://doi.org/10.1115/1.4007071 Zobrazit plný text záznamu