Stochastic simulation for couette flow of dilute polymer solutions using Hookean dumbbells

A. Gómez López; I. Pérez Reyes; A. López Villa; R. O. Vargas Aguilar

doi:10.1007/978-3-319-27965-7_17

Stochastic simulation for couette flow of dilute polymer solutions using Hookean dumbbells

A. Gómez López, I. Pérez Reyes, A. López Villa, R. O. Vargas Aguilar

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Azcapotzalco

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

1 Scopus citations

Abstract

This paper presents a stochastic simulation technique to the classic problem of the flow between parallel plates (Couette) for Newtonian and viscoelastic fluids. From the Cauchy equation, the total stress tensor splits up into two contributions, the viscous and polymeric (elastic) terms. An implicit finite difference scheme is used to solve the momentum equation (macro) and an explicit second order scheme is employed for the polymer (stochastic) contribution. The influence of important parameters such as the number of Hookean dumbbells, theWeissenberg number and the solvent/polymer viscosity ratio in both the velocity and shear stress tensor fields are analyzed.

Original language	English
Title of host publication	Recent Advances in Fluid Dynamics with Environmental Applications
Editors	Leonardo Di G. Sigalotti, Abraham Medina, Abel López, Jaime Klapp, Gerardo Ruiz-Chavarría
Publisher	Kluwer Academic Publishers
Pages	217-228
Number of pages	12
ISBN (Print)	9783319279640
DOIs	https://doi.org/10.1007/978-3-319-27965-7_17
State	Published - 2016
Event	1st Conference on Spring School Enzo Levi, 2014 - Mexico, Mexico Duration: 12 May 2014 → 13 May 2014

Publication series

Name	Environmental Science and Engineering (Subseries: Environmental Science)
ISSN (Print)	1863-5520

Conference

Conference	1st Conference on Spring School Enzo Levi, 2014
Country/Territory	Mexico
City	Mexico
Period	12/05/14 → 13/05/14

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10.1007/978-3-319-27965-7_17

Cite this

Gómez López, A., Pérez Reyes, I., López Villa, A., & Vargas Aguilar, R. O. (2016). Stochastic simulation for couette flow of dilute polymer solutions using Hookean dumbbells. In L. D. G. Sigalotti, A. Medina, A. López, J. Klapp, & G. Ruiz-Chavarría (Eds.), Recent Advances in Fluid Dynamics with Environmental Applications (pp. 217-228). (Environmental Science and Engineering (Subseries: Environmental Science)). Kluwer Academic Publishers. https://doi.org/10.1007/978-3-319-27965-7_17

Gómez López, A. ; Pérez Reyes, I. ; López Villa, A. et al. / Stochastic simulation for couette flow of dilute polymer solutions using Hookean dumbbells. Recent Advances in Fluid Dynamics with Environmental Applications. editor / Leonardo Di G. Sigalotti ; Abraham Medina ; Abel López ; Jaime Klapp ; Gerardo Ruiz-Chavarría. Kluwer Academic Publishers, 2016. pp. 217-228 (Environmental Science and Engineering (Subseries: Environmental Science)).

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abstract = "This paper presents a stochastic simulation technique to the classic problem of the flow between parallel plates (Couette) for Newtonian and viscoelastic fluids. From the Cauchy equation, the total stress tensor splits up into two contributions, the viscous and polymeric (elastic) terms. An implicit finite difference scheme is used to solve the momentum equation (macro) and an explicit second order scheme is employed for the polymer (stochastic) contribution. The influence of important parameters such as the number of Hookean dumbbells, theWeissenberg number and the solvent/polymer viscosity ratio in both the velocity and shear stress tensor fields are analyzed.",

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Gómez López, A, Pérez Reyes, I, López Villa, A & Vargas Aguilar, RO 2016, Stochastic simulation for couette flow of dilute polymer solutions using Hookean dumbbells. in LDG Sigalotti, A Medina, A López, J Klapp & G Ruiz-Chavarría (eds), Recent Advances in Fluid Dynamics with Environmental Applications. Environmental Science and Engineering (Subseries: Environmental Science), Kluwer Academic Publishers, pp. 217-228, 1st Conference on Spring School Enzo Levi, 2014, Mexico, Mexico, 12/05/14. https://doi.org/10.1007/978-3-319-27965-7_17

Stochastic simulation for couette flow of dilute polymer solutions using Hookean dumbbells. / Gómez López, A.; Pérez Reyes, I.; López Villa, A. et al.
Recent Advances in Fluid Dynamics with Environmental Applications. ed. / Leonardo Di G. Sigalotti; Abraham Medina; Abel López; Jaime Klapp; Gerardo Ruiz-Chavarría. Kluwer Academic Publishers, 2016. p. 217-228 (Environmental Science and Engineering (Subseries: Environmental Science)).

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

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T1 - Stochastic simulation for couette flow of dilute polymer solutions using Hookean dumbbells

AU - Gómez López, A.

AU - Pérez Reyes, I.

AU - López Villa, A.

AU - Vargas Aguilar, R. O.

N1 - Publisher Copyright: © Springer International Publishing Switzerland 2016.

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Y1 - 2016

N2 - This paper presents a stochastic simulation technique to the classic problem of the flow between parallel plates (Couette) for Newtonian and viscoelastic fluids. From the Cauchy equation, the total stress tensor splits up into two contributions, the viscous and polymeric (elastic) terms. An implicit finite difference scheme is used to solve the momentum equation (macro) and an explicit second order scheme is employed for the polymer (stochastic) contribution. The influence of important parameters such as the number of Hookean dumbbells, theWeissenberg number and the solvent/polymer viscosity ratio in both the velocity and shear stress tensor fields are analyzed.

AB - This paper presents a stochastic simulation technique to the classic problem of the flow between parallel plates (Couette) for Newtonian and viscoelastic fluids. From the Cauchy equation, the total stress tensor splits up into two contributions, the viscous and polymeric (elastic) terms. An implicit finite difference scheme is used to solve the momentum equation (macro) and an explicit second order scheme is employed for the polymer (stochastic) contribution. The influence of important parameters such as the number of Hookean dumbbells, theWeissenberg number and the solvent/polymer viscosity ratio in both the velocity and shear stress tensor fields are analyzed.

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U2 - 10.1007/978-3-319-27965-7_17

DO - 10.1007/978-3-319-27965-7_17

M3 - Contribución a la conferencia

SN - 9783319279640

T3 - Environmental Science and Engineering (Subseries: Environmental Science)

SP - 217

EP - 228

BT - Recent Advances in Fluid Dynamics with Environmental Applications

A2 - Sigalotti, Leonardo Di G.

A2 - Medina, Abraham

A2 - López, Abel

A2 - Klapp, Jaime

A2 - Ruiz-Chavarría, Gerardo

PB - Kluwer Academic Publishers

T2 - 1st Conference on Spring School Enzo Levi, 2014

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Gómez López A, Pérez Reyes I, López Villa A , Vargas Aguilar RO. Stochastic simulation for couette flow of dilute polymer solutions using Hookean dumbbells. In Sigalotti LDG, Medina A, López A, Klapp J, Ruiz-Chavarría G, editors, Recent Advances in Fluid Dynamics with Environmental Applications. Kluwer Academic Publishers. 2016. p. 217-228. (Environmental Science and Engineering (Subseries: Environmental Science)). doi: 10.1007/978-3-319-27965-7_17

Stochastic simulation for couette flow of dilute polymer solutions using Hookean dumbbells

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