### 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 language | English |
---|---|

Pages (from-to) | 789-792 |

Number of pages | 4 |

Journal | American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED |

Volume | 259 |

DOIs | |

Publication status | Published - 2003 |

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### All Science Journal Classification (ASJC) codes

- Engineering(all)

### Cite this

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*American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED*, vol. 259, pp. 789-792. https://doi.org/10.1115/IMECE2003-43683

**Steady flow of visco-plasto-elastic fluids in pipes.** / Letelier, Mario F.; Siginer, Dennis A.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Steady flow of visco-plasto-elastic fluids in pipes

AU - Letelier, Mario F.

AU - Siginer, Dennis A.

PY - 2003

Y1 - 2003

N2 - 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.

AB - 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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UR - http://www.scopus.com/inward/citedby.url?scp=1842616102&partnerID=8YFLogxK

U2 - 10.1115/IMECE2003-43683

DO - 10.1115/IMECE2003-43683

M3 - Article

VL - 259

SP - 789

EP - 792

JO - American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED

JF - American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED

SN - 0888-8116

ER -