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

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish
Title of host publicationFluids Engineering Systems and Technologies
PublisherAmerican Society of Mechanical Engineers (ASME)
Volume7
DOIs
Publication statusPublished - 2014
EventASME 2014 International Mechanical Engineering Congress and Exposition, IMECE 2014 - Montreal, Canada
Duration: Nov 14 2014Nov 20 2014

Other

OtherASME 2014 International Mechanical Engineering Congress and Exposition, IMECE 2014
CountryCanada
CityMontreal
Period11/14/1411/20/14

Fingerprint

Temperature distribution
Fluids
Laminar flow
Ducts
Boundary conditions
Geometry
Hot Temperature

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

Barrera, C. H., Letelier, M. F., & Siginer, D. A. (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). https://doi.org/10.1115/IMECE2014-36245
Barrera, Cristian H. ; Letelier, Mario F. ; Siginer, Dennis A. / A solution of the graetz problem in tubes of arbitrary cross-section shape for viscoelastic fluids. Fluids Engineering Systems and Technologies. Vol. 7 American Society of Mechanical Engineers (ASME), 2014.
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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

A solution of the graetz problem in tubes of arbitrary cross-section shape for viscoelastic fluids. / Barrera, Cristian H.; Letelier, Mario F.; Siginer, Dennis A.

Fluids Engineering Systems and Technologies. Vol. 7 American Society of Mechanical Engineers (ASME), 2014.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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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.

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Barrera CH, Letelier MF, Siginer DA. 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). 2014 https://doi.org/10.1115/IMECE2014-36245