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    Pulse Propagation in Fluid-Filled Tubes

    Source: Journal of Applied Mechanics:;1977:;volume( 044 ):;issue: 001::page 31
    Author:
    J. S. Walker
    ,
    J. W. Phillips
    DOI: 10.1115/1.3424009
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A new theory for the propagation of pressure pulses in an inviscid compressible fluid contained in a thin-walled elastic tube is presented. This theory represents an improvement over the classical waterhammer theory because the restriction that the speed of sound in the tube material must be much greater than that in the fluid has been removed and because the restriction that the pulse length must be much greater than the tube diameter has been somewhat relaxed. The new theory is applied to a water-filled copper tube with an axial impulsive force of very short duration applied either to a piston inserted in the anchored end of the tube or to a cap on the free end of the tube. Numerical solutions using the method of characteristics are presented, and comparison is made with the predictions of classical waterhammer theory. A check on the numerical solution is provided by the analytical solution for the capped tube and for the special case when the speeds of sound in the tube material and in the fluid are equal.
    keyword(s): Fluids , Copper , Sound , Speed of sound , Pistons , Water , Force AND Pressure ,
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      Pulse Propagation in Fluid-Filled Tubes

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    http://yetl.yabesh.ir/yetl1/handle/yetl/89587
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    contributor authorJ. S. Walker
    contributor authorJ. W. Phillips
    date accessioned2017-05-08T23:02:24Z
    date available2017-05-08T23:02:24Z
    date copyrightMarch, 1977
    date issued1977
    identifier issn0021-8936
    identifier otherJAMCAV-26068#31_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/89587
    description abstractA new theory for the propagation of pressure pulses in an inviscid compressible fluid contained in a thin-walled elastic tube is presented. This theory represents an improvement over the classical waterhammer theory because the restriction that the speed of sound in the tube material must be much greater than that in the fluid has been removed and because the restriction that the pulse length must be much greater than the tube diameter has been somewhat relaxed. The new theory is applied to a water-filled copper tube with an axial impulsive force of very short duration applied either to a piston inserted in the anchored end of the tube or to a cap on the free end of the tube. Numerical solutions using the method of characteristics are presented, and comparison is made with the predictions of classical waterhammer theory. A check on the numerical solution is provided by the analytical solution for the capped tube and for the special case when the speeds of sound in the tube material and in the fluid are equal.
    publisherThe American Society of Mechanical Engineers (ASME)
    titlePulse Propagation in Fluid-Filled Tubes
    typeJournal Paper
    journal volume44
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3424009
    journal fristpage31
    journal lastpage35
    identifier eissn1528-9036
    keywordsFluids
    keywordsCopper
    keywordsSound
    keywordsSpeed of sound
    keywordsPistons
    keywordsWater
    keywordsForce AND Pressure
    treeJournal of Applied Mechanics:;1977:;volume( 044 ):;issue: 001
    contenttypeFulltext
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