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

    Source: Journal of Applied Mechanics:;2013:;volume( 080 ):;issue: 001::page 14503
    Author:
    Chen, Jeng
    ,
    Lee, Jia
    ,
    Shieh, Hung
    DOI: 10.1115/1.4007071
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: 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 NonConcentric Circular Cylinders,â€‌ 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.
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      A Green's Function for the Domain Bounded by Nonconcentric Spheres

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    https://yetl.yabesh.ir/yetl1/handle/yetl/150772
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    contributor authorChen, Jeng
    contributor authorLee, Jia
    contributor authorShieh, Hung
    date accessioned2017-05-09T00:55:59Z
    date available2017-05-09T00:55:59Z
    date issued2013
    identifier issn0021-8936
    identifier otherjam_080_01_014503.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/150772
    description abstractThe 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 NonConcentric Circular Cylinders,â€‌ 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.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Green's Function for the Domain Bounded by Nonconcentric Spheres
    typeJournal Paper
    journal volume80
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4007071
    journal fristpage14503
    journal lastpage14503
    identifier eissn1528-9036
    treeJournal of Applied Mechanics:;2013:;volume( 080 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian