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

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

doi:10.1115/IMECE2016-65436

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

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

Mechanical, Energy & Industrial Engineering

Research output: Contribution to conference › Paper › peer-review

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 language	English
Number of pages	4
DOIs	https://doi.org/10.1115/IMECE2016-65436
Publication status	Published - 2017
Event	ASME 2016 International Mechanical Engineering Congress and Exposition - Phoenix, United States Duration: Nov 11 2016 → Nov 17 2016

Conference

Conference	ASME 2016 International Mechanical Engineering Congress and Exposition
Abbreviated title	IMECE 2016
Country/Territory	United States
City	Phoenix
Period	11/11/16 → 11/17/16

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10.1115/IMECE2016-65436

http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=2602441

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title = "Viscoelastic Flow in Teardrop-shaped Tubes: Analysis of Transversal Flow",

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.",

author = "Letelier, {Mario F.} and Siginer Dennis and S. Guti{\'e}rrez and P. Arratia and A. Gonz{\'a}lez",

year = "2017",

doi = "10.1115/IMECE2016-65436",

language = "English",

note = "ASME 2016 International Mechanical Engineering Congress and Exposition, IMECE 2016 ; Conference date: 11-11-2016 Through 17-11-2016",

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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.

U2 - 10.1115/IMECE2016-65436

DO - 10.1115/IMECE2016-65436

M3 - Paper

T2 - ASME 2016 International Mechanical Engineering Congress and Exposition

Y2 - 11 November 2016 through 17 November 2016

ER -

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

Abstract

Conference

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