Solving the constitutive equation of dilute polymeric flows: A general Fokker–Planck approach for linear elastic dumbbell models
نویسندگان
چکیده
We present a mesoscopic numerical solver for the constitutive equation of dilute polymer solutions, as described by Fokker–Planck bead-spring dumbbell models with linear spring forces, such Oldroyd-B, FENE-P (finitely extensible nonlinear elastic Peterlin closure), and C-FENE-P (charged FENE-P). The configuration density function is expanded into series Hermite polynomials, we show that only second order in expansion needed to describe evolution polymer-induced stresses. stress tensor given exactly through discrete representation distribution function, which obtained from finite set Gauss–Hermite quadrature points. In addition, derive conformation equation, serves mathematical quality check method. solve time extra homogeneous flows polyelectrolyte conceptualized model, generalization model. results are shown be excellent agreement analytical semi-analytical reference simple shear extensional flows. While this paper focus on connector believe principles derivation extendable other force laws.
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ژورنال
عنوان ژورنال: Physics of Fluids
سال: 2023
ISSN: ['1527-2435', '1089-7666', '1070-6631']
DOI: https://doi.org/10.1063/5.0161336