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    Solutions for Non-Newtonian Flow Into Elliptical Openings

    Source: Journal of Applied Mechanics:;1991:;volume( 058 ):;issue: 003::page 820
    Author:
    A. Bogobowicz
    ,
    L. Rothenburg
    ,
    M. B. Dusseault
    DOI: 10.1115/1.2897268
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A semi-analytical solution for plane velocity fields describing steady-state incompressible flow of nonlinearly viscous fluid into an elliptical opening is presented. The flow is driven by hydrostatic pressure applied at infinity. The solution is obtained by minimizing the rate of energy dissipation on a sufficiently flexible incompressible velocity field in elliptical coordinates. The medium is described by a power creep law and solutions are obtained for a range of exponents and ellipse eccentricites. The obtained solutions compare favorably with results of finite element analysis.
    keyword(s): Non-Newtonian flow , Flow (Dynamics) , Creep , Fluids , Energy dissipation , Hydrostatic pressure , Finite element analysis AND Steady state ,
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      Solutions for Non-Newtonian Flow Into Elliptical Openings

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    https://yetl.yabesh.ir/yetl1/handle/yetl/108004
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    contributor authorA. Bogobowicz
    contributor authorL. Rothenburg
    contributor authorM. B. Dusseault
    date accessioned2017-05-08T23:34:33Z
    date available2017-05-08T23:34:33Z
    date copyrightSeptember, 1991
    date issued1991
    identifier issn0021-8936
    identifier otherJAMCAV-26334#820_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/108004
    description abstractA semi-analytical solution for plane velocity fields describing steady-state incompressible flow of nonlinearly viscous fluid into an elliptical opening is presented. The flow is driven by hydrostatic pressure applied at infinity. The solution is obtained by minimizing the rate of energy dissipation on a sufficiently flexible incompressible velocity field in elliptical coordinates. The medium is described by a power creep law and solutions are obtained for a range of exponents and ellipse eccentricites. The obtained solutions compare favorably with results of finite element analysis.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleSolutions for Non-Newtonian Flow Into Elliptical Openings
    typeJournal Paper
    journal volume58
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2897268
    journal fristpage820
    journal lastpage824
    identifier eissn1528-9036
    keywordsNon-Newtonian flow
    keywordsFlow (Dynamics)
    keywordsCreep
    keywordsFluids
    keywordsEnergy dissipation
    keywordsHydrostatic pressure
    keywordsFinite element analysis AND Steady state
    treeJournal of Applied Mechanics:;1991:;volume( 058 ):;issue: 003
    contenttypeFulltext
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