Viscoelastic flow in teardrop - Shaped tubes: Transversal field

M.F. Letelier, D.A. Siginer, 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. Copyright © 2016 by ASME.
Original languageEnglish
Publication statusPublished - 2016
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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asymptotic series
secondary flow
viscoelasticity
pulsed plasma thrusters
tubes
shape functions
series expansion
temperature distribution
expansion
fluids

Cite this

Letelier, M. F., Siginer, D. A., Gutiérrez, S., Arratia, P., & González, A. (2016). Viscoelastic flow in teardrop - Shaped tubes: Transversal field. Paper presented at ASME 2016 International Mechanical Engineering Congress and Exposition, Phoenix, United States.
Letelier, M.F. ; Siginer, D.A. ; Gutiérrez, S. ; Arratia, P. ; González, A. / Viscoelastic flow in teardrop - Shaped tubes: Transversal field. Paper presented at ASME 2016 International Mechanical Engineering Congress and Exposition, Phoenix, United States.
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Letelier, MF, Siginer, DA, Gutiérrez, S, Arratia, P & González, A 2016, 'Viscoelastic flow in teardrop - Shaped tubes: Transversal field' Paper presented at ASME 2016 International Mechanical Engineering Congress and Exposition, Phoenix, United States, 11/11/16 - 11/17/16, .

Viscoelastic flow in teardrop - Shaped tubes: Transversal field. / Letelier, M.F.; Siginer, D.A.; Gutiérrez, S.; Arratia, P.; González, A.

2016. 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: Transversal field

AU - Letelier, M.F.

AU - Siginer, D.A.

AU - Gutiérrez, S.

AU - Arratia, P.

AU - González, A.

N1 - Export Date: 20 June 2018

PY - 2016

Y1 - 2016

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. Copyright © 2016 by ASME.

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. Copyright © 2016 by ASME.

M3 - Paper

ER -

Letelier MF, Siginer DA, Gutiérrez S, Arratia P, González A. Viscoelastic flow in teardrop - Shaped tubes: Transversal field. 2016. Paper presented at ASME 2016 International Mechanical Engineering Congress and Exposition, Phoenix, United States.