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    Stability of Elliptical Cylinders in Two-Dimensional Channel Flow

    Source: Journal of Biomechanical Engineering:;2000:;volume( 122 ):;issue: 005::page 493
    Author:
    Yu Zhao
    ,
    M. Keith Sharp
    DOI: 10.1115/1.1289990
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The flow around rigid cylinders of elliptical cross section placed transverse to Poiseuille flow between parallel plates was simulated to investigate issues related to the tumbling of red blood cells and other particles of moderate aspect ratio in the similar flow in a Field Flow Fractionation (FFF) channel. The torque and transverse force on the cylinder were calculated with the cylinder freely translating, but prevented from rotating, in the flow. The aspect ratios (long axis to short axis) of the elliptical cylinders were 2, 3, 4, and 5. The cylinder was placed transversely at locations of y0/H=0.1, 0.2, 0.3, and 0.4, where y0 is the distance from the bottom of the channel and H is the height of the channel, and the orientation of the cylinder was varied from 0 to 10 deg with respect to the axis of the channel for a channel Reynolds number of 20. The results showed that equilibrium orientations (indicated by a zero net torque on the cylinder) were possible for high-aspect-ratio cylinders at transverse locations y0/H<0.2. Otherwise, the net torque on the cylinder was positive, indicating that the cylinder would rotate. For cylinders with a stable orientation, however, a transverse lift force existed up to about y0/H=0.25. Thus, a cylinder of neutral or low buoyancy might be lifted with a stable orientation from an initial position near the wall until it reached y0/H<0.2, whereupon it would begin to tumble or oscillate. The dependence of lift and torque on cylinder orientation suggested that neutral or low-buoyancy cylinders may oscillate in both transverse location and angular velocity. Cylinders more dense than the carrier fluid could be in equilibrium both in terms of orientation and transverse location if their sedimentation force matched their lift force for a location y0/H<0.2.[S0148-0731(00)00505-7]
    keyword(s): Torque , Channels (Hydraulic engineering) , Equilibrium (Physics) , Cylinders , Flow (Dynamics) , Fluids , Force , Stability AND Channel flow ,
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      Stability of Elliptical Cylinders in Two-Dimensional Channel Flow

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    http://yetl.yabesh.ir/yetl1/handle/yetl/123331
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    contributor authorYu Zhao
    contributor authorM. Keith Sharp
    date accessioned2017-05-09T00:01:50Z
    date available2017-05-09T00:01:50Z
    date copyrightOctober, 2000
    date issued2000
    identifier issn0148-0731
    identifier otherJBENDY-26095#493_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/123331
    description abstractThe flow around rigid cylinders of elliptical cross section placed transverse to Poiseuille flow between parallel plates was simulated to investigate issues related to the tumbling of red blood cells and other particles of moderate aspect ratio in the similar flow in a Field Flow Fractionation (FFF) channel. The torque and transverse force on the cylinder were calculated with the cylinder freely translating, but prevented from rotating, in the flow. The aspect ratios (long axis to short axis) of the elliptical cylinders were 2, 3, 4, and 5. The cylinder was placed transversely at locations of y0/H=0.1, 0.2, 0.3, and 0.4, where y0 is the distance from the bottom of the channel and H is the height of the channel, and the orientation of the cylinder was varied from 0 to 10 deg with respect to the axis of the channel for a channel Reynolds number of 20. The results showed that equilibrium orientations (indicated by a zero net torque on the cylinder) were possible for high-aspect-ratio cylinders at transverse locations y0/H<0.2. Otherwise, the net torque on the cylinder was positive, indicating that the cylinder would rotate. For cylinders with a stable orientation, however, a transverse lift force existed up to about y0/H=0.25. Thus, a cylinder of neutral or low buoyancy might be lifted with a stable orientation from an initial position near the wall until it reached y0/H<0.2, whereupon it would begin to tumble or oscillate. The dependence of lift and torque on cylinder orientation suggested that neutral or low-buoyancy cylinders may oscillate in both transverse location and angular velocity. Cylinders more dense than the carrier fluid could be in equilibrium both in terms of orientation and transverse location if their sedimentation force matched their lift force for a location y0/H<0.2.[S0148-0731(00)00505-7]
    publisherThe American Society of Mechanical Engineers (ASME)
    titleStability of Elliptical Cylinders in Two-Dimensional Channel Flow
    typeJournal Paper
    journal volume122
    journal issue5
    journal titleJournal of Biomechanical Engineering
    identifier doi10.1115/1.1289990
    journal fristpage493
    journal lastpage497
    identifier eissn1528-8951
    keywordsTorque
    keywordsChannels (Hydraulic engineering)
    keywordsEquilibrium (Physics)
    keywordsCylinders
    keywordsFlow (Dynamics)
    keywordsFluids
    keywordsForce
    keywordsStability AND Channel flow
    treeJournal of Biomechanical Engineering:;2000:;volume( 122 ):;issue: 005
    contenttypeFulltext
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