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, the Weissenberg 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, R.O. (2016). Stochastic Simulation for Couette Flow of Dilute Polymer Solutions Using Hookean Dumbbells. In: Klapp, J., Sigalotti, L.D.G., Medina, A., López, A., Ruiz-Chavarría, G. (eds) Recent Advances in Fluid Dynamics with Environmental Applications. Environmental Science and Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-27965-7_17
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DOI: https://doi.org/10.1007/978-3-319-27965-7_17
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