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    Laminar Incompressible Viscous Flow in Curved Ducts of Regular Cross-Sections

    Source: Journal of Fluids Engineering:;1977:;volume( 099 ):;issue: 004::page 640
    Author:
    K. N. Ghia
    ,
    J. S. Sokhey
    DOI: 10.1115/1.3448875
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The laminar three-dimensional flow in curved ducts has been analyzed for an incompressible viscous fluid. The mathematical model is formulated using three-dimensional parabolized Navier-Stokes equations. The equations are generalized using two indices which permit the choice of Cartesian or cylindrical coordinate systems and straight or curved ducts. The solutions are obtained numerically using an ADI method for a number of duct geometries and flow parameters. The study presents detailed results for developing laminar flow in rectangular curved ducts; also, the effect of longitudinal curvature on secondary flow is fully analyzed. An investigation is made of the occurrence of Dean’s instability and, for curved square ducts, it is found to first appear at Dean number ≃ 143.
    keyword(s): Cross section (Physics) , Viscous flow , Ducts , Flow (Dynamics) , Fluids , Laminar flow , Navier-Stokes equations AND Equations ,
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      Laminar Incompressible Viscous Flow in Curved Ducts of Regular Cross-Sections

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/89964
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    contributor authorK. N. Ghia
    contributor authorJ. S. Sokhey
    date accessioned2017-05-08T23:03:00Z
    date available2017-05-08T23:03:00Z
    date copyrightDecember, 1977
    date issued1977
    identifier issn0098-2202
    identifier otherJFEGA4-26925#640_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/89964
    description abstractThe laminar three-dimensional flow in curved ducts has been analyzed for an incompressible viscous fluid. The mathematical model is formulated using three-dimensional parabolized Navier-Stokes equations. The equations are generalized using two indices which permit the choice of Cartesian or cylindrical coordinate systems and straight or curved ducts. The solutions are obtained numerically using an ADI method for a number of duct geometries and flow parameters. The study presents detailed results for developing laminar flow in rectangular curved ducts; also, the effect of longitudinal curvature on secondary flow is fully analyzed. An investigation is made of the occurrence of Dean’s instability and, for curved square ducts, it is found to first appear at Dean number ≃ 143.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleLaminar Incompressible Viscous Flow in Curved Ducts of Regular Cross-Sections
    typeJournal Paper
    journal volume99
    journal issue4
    journal titleJournal of Fluids Engineering
    identifier doi10.1115/1.3448875
    journal fristpage640
    journal lastpage648
    identifier eissn1528-901X
    keywordsCross section (Physics)
    keywordsViscous flow
    keywordsDucts
    keywordsFlow (Dynamics)
    keywordsFluids
    keywordsLaminar flow
    keywordsNavier-Stokes equations AND Equations
    treeJournal of Fluids Engineering:;1977:;volume( 099 ):;issue: 004
    contenttypeFulltext
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