Secondary flows in eccentric-annular tubes

Mario Letelier, Dennis A. Siginer, Diego L. Almendra, Juan Stockle

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

Abstract

In this paper, transversal flow field of nonlinear viscoelastic fluids abiding by the modified-Phan-Thien-Tanner (MPTT) constitutive model in straight tubes of eccentric-annular cross-section is investigated. An analytical solution is developed based on an asymptotic expansion in terms of the Weissenberg number coupled with the shape factor method a one-to-one mapping taking the circular cross-section into the eccentric annular cross section. The analysis reveals the formation of transversal flows due to elasticity and to the eccentricity parameter. The number of vortices in the cross-section depends on the ratio of the diameters in addition to the eccentricity parameter. The effect of these parameters on the vortical structure is explored for different values of the material parameters.

Original languageEnglish
Title of host publicationFluids Engineering
PublisherAmerican Society of Mechanical Engineers(ASME)
ISBN (Electronic)9780791859445
DOIs
Publication statusPublished - 2019
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., Siginer, D. A., Almendra, D. L., & Stockle, J. (2019). Secondary flows in eccentric-annular tubes. 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/IMECE2019-11548