Steady flow of visco-plasto-elastic fluids in pipes

Mario F. Letelier, Dennis A. Siginer

    Research output: Contribution to journalArticle

    Abstract

    The objective of the paper is to analyze the main dynamic characteristics of steady pipe flow for the case of a fluid whose constitutive is determined by a linear superposition of a viscoelastic Phan-Thien-Tanner fluid and a Bingham-type plastic fluid. The combined effects of viscoelasticity and yield stress are explored through some variables of the flow, such as velocity, and plug region. The fluid is considered incompressible and laminar, and the pipe circular. One main motivation of this work is the study of possible relevant interaction among the physical properties of the fluid. The elasticity of the fluid is expressed by means of two parameters that include the relaxation time. The plasticity is modelled though the Bingham constitutive equation, which involves, in general, a constant yield stress and a non-linear viscosity, when the flow is non-axisymmetric. Analytical expressions for the dependent variables are presented, and their plots in terms of the constants of the fluid, as well. This paper is a continuation of previous work by the authors, mainly related to investigating the structure of secondary flow and of the associated heat transfer in non-circular ducts, for the case of a purely viscoelastic fluid.

    Original languageEnglish
    Pages (from-to)789-792
    Number of pages4
    JournalAmerican Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED
    Volume259
    DOIs
    Publication statusPublished - 2003

    Fingerprint

    Steady flow
    Pipe
    Fluids
    Yield stress
    Secondary flow
    Viscoelasticity
    Pipe flow
    Constitutive equations
    Relaxation time
    Ducts
    Plasticity
    Elasticity
    Physical properties
    Viscosity
    Plastics
    Heat transfer

    All Science Journal Classification (ASJC) codes

    • Engineering(all)

    Cite this

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    abstract = "The objective of the paper is to analyze the main dynamic characteristics of steady pipe flow for the case of a fluid whose constitutive is determined by a linear superposition of a viscoelastic Phan-Thien-Tanner fluid and a Bingham-type plastic fluid. The combined effects of viscoelasticity and yield stress are explored through some variables of the flow, such as velocity, and plug region. The fluid is considered incompressible and laminar, and the pipe circular. One main motivation of this work is the study of possible relevant interaction among the physical properties of the fluid. The elasticity of the fluid is expressed by means of two parameters that include the relaxation time. The plasticity is modelled though the Bingham constitutive equation, which involves, in general, a constant yield stress and a non-linear viscosity, when the flow is non-axisymmetric. Analytical expressions for the dependent variables are presented, and their plots in terms of the constants of the fluid, as well. This paper is a continuation of previous work by the authors, mainly related to investigating the structure of secondary flow and of the associated heat transfer in non-circular ducts, for the case of a purely viscoelastic fluid.",
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    Steady flow of visco-plasto-elastic fluids in pipes. / Letelier, Mario F.; Siginer, Dennis A.

    In: American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED, Vol. 259, 2003, p. 789-792.

    Research output: Contribution to journalArticle

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