A solution of the graetz problem in tubes of arbitrary cross-section shape for viscoelastic fluids

Cristian H. Barrera; Mario F. Letelier; Dennis A. Siginer

doi:10.1115/IMECE2014-36245

A solution of the graetz problem in tubes of arbitrary cross-section shape for viscoelastic fluids

Cristian H. Barrera, Mario F. Letelier, Dennis A. Siginer

Mechanical, Energy & Industrial Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

The Graetz problem is addressed for the case of steady laminar flow of non-Newtonian fluids obeying the Modified Phan-Thien-Tanner Model (MPTT) in tubes of arbitrary cross-section. The method herein presented models the velocity and temperature fields so that the corresponding non-slip and thermal boundary conditions are met at the walls of the tube for a wide range of different shapes. The main results are the general temperature distribution for different duct geometries that include the triangular and square cases as particular examples.

Original language	English
Title of host publication	Fluids Engineering Systems and Technologies
Publisher	American Society of Mechanical Engineers (ASME)
Volume	7
DOIs	https://doi.org/10.1115/IMECE2014-36245
Publication status	Published - 2014
Event	ASME 2014 International Mechanical Engineering Congress and Exposition, IMECE 2014 - Montreal, Canada Duration: Nov 14 2014 → Nov 20 2014

Other

Other	ASME 2014 International Mechanical Engineering Congress and Exposition, IMECE 2014
Country/Territory	Canada
City	Montreal
Period	11/14/14 → 11/20/14

All Science Journal Classification (ASJC) codes

Mechanical Engineering

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10.1115/IMECE2014-36245

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@inproceedings{d41fa23a52ad4de48d59b1d4d2a1368e,

title = "A solution of the graetz problem in tubes of arbitrary cross-section shape for viscoelastic fluids",

abstract = "The Graetz problem is addressed for the case of steady laminar flow of non-Newtonian fluids obeying the Modified Phan-Thien-Tanner Model (MPTT) in tubes of arbitrary cross-section. The method herein presented models the velocity and temperature fields so that the corresponding non-slip and thermal boundary conditions are met at the walls of the tube for a wide range of different shapes. The main results are the general temperature distribution for different duct geometries that include the triangular and square cases as particular examples.",

author = "Barrera, \{Cristian H.\} and Letelier, \{Mario F.\} and Siginer, \{Dennis A.\}",

year = "2014",

doi = "10.1115/IMECE2014-36245",

language = "English",

volume = "7",

booktitle = "Fluids Engineering Systems and Technologies",

publisher = "American Society of Mechanical Engineers (ASME)",

note = "ASME 2014 International Mechanical Engineering Congress and Exposition, IMECE 2014 ; Conference date: 14-11-2014 Through 20-11-2014",

}

Barrera, CH, Letelier, MF & Siginer, DA 2014, A solution of the graetz problem in tubes of arbitrary cross-section shape for viscoelastic fluids. in Fluids Engineering Systems and Technologies. vol. 7, American Society of Mechanical Engineers (ASME), ASME 2014 International Mechanical Engineering Congress and Exposition, IMECE 2014, Montreal, Canada, 11/14/14. https://doi.org/10.1115/IMECE2014-36245

TY - GEN

T1 - A solution of the graetz problem in tubes of arbitrary cross-section shape for viscoelastic fluids

AU - Barrera, Cristian H.

AU - Letelier, Mario F.

AU - Siginer, Dennis A.

PY - 2014

Y1 - 2014

N2 - The Graetz problem is addressed for the case of steady laminar flow of non-Newtonian fluids obeying the Modified Phan-Thien-Tanner Model (MPTT) in tubes of arbitrary cross-section. The method herein presented models the velocity and temperature fields so that the corresponding non-slip and thermal boundary conditions are met at the walls of the tube for a wide range of different shapes. The main results are the general temperature distribution for different duct geometries that include the triangular and square cases as particular examples.

AB - The Graetz problem is addressed for the case of steady laminar flow of non-Newtonian fluids obeying the Modified Phan-Thien-Tanner Model (MPTT) in tubes of arbitrary cross-section. The method herein presented models the velocity and temperature fields so that the corresponding non-slip and thermal boundary conditions are met at the walls of the tube for a wide range of different shapes. The main results are the general temperature distribution for different duct geometries that include the triangular and square cases as particular examples.

UR - https://www.scopus.com/pages/publications/84926442869

UR - https://www.scopus.com/inward/citedby.url?scp=84926442869&partnerID=8YFLogxK

U2 - 10.1115/IMECE2014-36245

DO - 10.1115/IMECE2014-36245

M3 - Conference contribution

AN - SCOPUS:84926442869

VL - 7

BT - Fluids Engineering Systems and Technologies

PB - American Society of Mechanical Engineers (ASME)

T2 - ASME 2014 International Mechanical Engineering Congress and Exposition, IMECE 2014

Y2 - 14 November 2014 through 20 November 2014

ER -

A solution of the graetz problem in tubes of arbitrary cross-section shape for viscoelastic fluids

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