Viscoelastic Flow in Teardrop-shaped Tubes: Analysis of Transversal Flow

Mario F. Letelier, Siginer Dennis, S. Gutiérrez, P. Arratia, A. González

Research output: Contribution to conferencePaper

Abstract

We present an analytical study of secondary flows in tubes of teardrop shape for a viscoelastic fluid described by the Phan-Thien-Tanner (PPT) model. The analytical development is based on a one-to-one mapping (shape function) to describe the teardrop contour and the expansion of field variables into asymptotic series in terms of the Weissenberg number Wi. Secondary flows and the temperature field are determined solving the hierarchical set of equations resulting from the asymptotic series expansions.
Original languageEnglish
Number of pages4
DOIs
Publication statusPublished - 2017
EventASME 2016 International Mechanical Engineering Congress and Exposition - Phoenix, United States
Duration: Nov 11 2016Nov 17 2016

Conference

ConferenceASME 2016 International Mechanical Engineering Congress and Exposition
Abbreviated titleIMECE 2016
CountryUnited States
CityPhoenix
Period11/11/1611/17/16

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secondary flow
viscoelastic fluid
temperature
analysis

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Letelier, M. F., Dennis, S., Gutiérrez, S., Arratia, P., & González, A. (2017). Viscoelastic Flow in Teardrop-shaped Tubes: Analysis of Transversal Flow. Paper presented at ASME 2016 International Mechanical Engineering Congress and Exposition, Phoenix, United States. https://doi.org/10.1115/IMECE2016-65436
Letelier, Mario F. ; Dennis, Siginer ; Gutiérrez, S. ; Arratia, P. ; González, A. / Viscoelastic Flow in Teardrop-shaped Tubes: Analysis of Transversal Flow. Paper presented at ASME 2016 International Mechanical Engineering Congress and Exposition, Phoenix, United States.4 p.
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Letelier, MF, Dennis, S, Gutiérrez, S, Arratia, P & González, A 2017, 'Viscoelastic Flow in Teardrop-shaped Tubes: Analysis of Transversal Flow' Paper presented at ASME 2016 International Mechanical Engineering Congress and Exposition, Phoenix, United States, 11/11/16 - 11/17/16, . https://doi.org/10.1115/IMECE2016-65436

Viscoelastic Flow in Teardrop-shaped Tubes: Analysis of Transversal Flow. / Letelier, Mario F.; Dennis, Siginer; Gutiérrez, S.; Arratia, P.; González, A.

2017. Paper presented at ASME 2016 International Mechanical Engineering Congress and Exposition, Phoenix, United States.

Research output: Contribution to conferencePaper

TY - CONF

T1 - Viscoelastic Flow in Teardrop-shaped Tubes: Analysis of Transversal Flow

AU - Letelier, Mario F.

AU - Dennis, Siginer

AU - Gutiérrez, S.

AU - Arratia, P.

AU - González, A.

PY - 2017

Y1 - 2017

N2 - We present an analytical study of secondary flows in tubes of teardrop shape for a viscoelastic fluid described by the Phan-Thien-Tanner (PPT) model. The analytical development is based on a one-to-one mapping (shape function) to describe the teardrop contour and the expansion of field variables into asymptotic series in terms of the Weissenberg number Wi. Secondary flows and the temperature field are determined solving the hierarchical set of equations resulting from the asymptotic series expansions.

AB - We present an analytical study of secondary flows in tubes of teardrop shape for a viscoelastic fluid described by the Phan-Thien-Tanner (PPT) model. The analytical development is based on a one-to-one mapping (shape function) to describe the teardrop contour and the expansion of field variables into asymptotic series in terms of the Weissenberg number Wi. Secondary flows and the temperature field are determined solving the hierarchical set of equations resulting from the asymptotic series expansions.

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DO - 10.1115/IMECE2016-65436

M3 - Paper

ER -

Letelier MF, Dennis S, Gutiérrez S, Arratia P, González A. Viscoelastic Flow in Teardrop-shaped Tubes: Analysis of Transversal Flow. 2017. Paper presented at ASME 2016 International Mechanical Engineering Congress and Exposition, Phoenix, United States. https://doi.org/10.1115/IMECE2016-65436