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    A Burgers-Type Model of Turbulent Decay in a Non-Newtonian Fluid

    Source: Journal of Applied Mechanics:;1972:;volume( 039 ):;issue: 003::page 661
    Author:
    Y. Kuo
    ,
    R. I. Tanner
    DOI: 10.1115/1.3422769
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: To study the effects of the high elongational viscosity on the free (“grid-generated”) turbulence of polymer solutions, a Burgers-type model equation is proposed and formed by replacing the Newtonian viscosity of the original Burgers equation with a non-Newtonian viscosity. By using the proposed model equation, numerical experiments were carried out to compute the energy decays, the changes in the energy spectra, and the variations of the mean square of the velocity gradient with time. Comparisons between the Newtonian and the non-Newtonian cases were based on the same Reynolds numbers and the same initial random velocity fields generated by a Gaussian process with two types of spectrum. Measurements on real grid turbulence are discussed in the light of these calculations. The computational results show, in general, the suppression of “shock waves” because of the non-Newtonian viscosity effect, but the turbulent decay rate at large Reynolds number is not always increased, which is surprising. It appears that the calculations support qualitatively the idea of vortex stretching inhibition in polymer turbulence due to high elongational viscosity.
    keyword(s): Turbulence , Non-Newtonian fluids , Viscosity , Equations , Spectra (Spectroscopy) , Reynolds number , Measurement , Shock waves , Gradients , Polymer solutions , Polymers AND Vortices ,
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      A Burgers-Type Model of Turbulent Decay in a Non-Newtonian Fluid

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    http://yetl.yabesh.ir/yetl1/handle/yetl/157234
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    contributor authorY. Kuo
    contributor authorR. I. Tanner
    date accessioned2017-05-09T01:15:32Z
    date available2017-05-09T01:15:32Z
    date copyrightSeptember, 1972
    date issued1972
    identifier issn0021-8936
    identifier otherJAMCAV-25966#661_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/157234
    description abstractTo study the effects of the high elongational viscosity on the free (“grid-generated”) turbulence of polymer solutions, a Burgers-type model equation is proposed and formed by replacing the Newtonian viscosity of the original Burgers equation with a non-Newtonian viscosity. By using the proposed model equation, numerical experiments were carried out to compute the energy decays, the changes in the energy spectra, and the variations of the mean square of the velocity gradient with time. Comparisons between the Newtonian and the non-Newtonian cases were based on the same Reynolds numbers and the same initial random velocity fields generated by a Gaussian process with two types of spectrum. Measurements on real grid turbulence are discussed in the light of these calculations. The computational results show, in general, the suppression of “shock waves” because of the non-Newtonian viscosity effect, but the turbulent decay rate at large Reynolds number is not always increased, which is surprising. It appears that the calculations support qualitatively the idea of vortex stretching inhibition in polymer turbulence due to high elongational viscosity.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Burgers-Type Model of Turbulent Decay in a Non-Newtonian Fluid
    typeJournal Paper
    journal volume39
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3422769
    journal fristpage661
    journal lastpage666
    identifier eissn1528-9036
    keywordsTurbulence
    keywordsNon-Newtonian fluids
    keywordsViscosity
    keywordsEquations
    keywordsSpectra (Spectroscopy)
    keywordsReynolds number
    keywordsMeasurement
    keywordsShock waves
    keywordsGradients
    keywordsPolymer solutions
    keywordsPolymers AND Vortices
    treeJournal of Applied Mechanics:;1972:;volume( 039 ):;issue: 003
    contenttypeFulltext
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