Prediction of transversal flow in non-circular tubes with a higher order constitutive equation

Mario F. Letelier, Dennis A. Siginer, Paola Merino, Juan S. Stockle

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

Abstract

In this paper we explore the potential of an explicit constitutive equation in predicting secondary flows in straight, non–circular tubes in steady and fully developed flow. We show that secondary flows appear at first order in k a constitutive parameter in the new constitutive structure when solving the field through an asymptotic approach. The structure of the transversal stream–function predicted by the new structure is the same as that obtained at third order in Weissenberg number with the Modified Phan–Thien–Tanner constitutive equation aside from constitutive constants. We present predictions of the velocity field and a comparison with the corresponding predictions of the MPTT model. These results are obtained using the analytical algorithm based on the shape factor concept coupled with asymptotic expansions developed and used previously by the authors to solve related problems.

Original languageEnglish
Title of host publicationFluids Engineering
PublisherAmerican Society of Mechanical Engineers(ASME)
ISBN (Electronic)9780791859445
DOIs
Publication statusPublished - 2019
Externally publishedYes
EventASME 2019 International Mechanical Engineering Congress and Exposition, IMECE 2019 - Salt Lake City, United States
Duration: Nov 11 2019Nov 14 2019

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
Volume7

Conference

ConferenceASME 2019 International Mechanical Engineering Congress and Exposition, IMECE 2019
CountryUnited States
CitySalt Lake City
Period11/11/1911/14/19

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

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  • Cite this

    Letelier, M. F., Siginer, D. A., Merino, P., & Stockle, J. S. (2019). Prediction of transversal flow in non-circular tubes with a higher order constitutive equation. In Fluids Engineering (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE); Vol. 7). American Society of Mechanical Engineers(ASME). https://doi.org/10.1115/IMECE2019-12062