کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
671042 1459079 2010 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Kinetic models for dilute solutions of dumbbells in non-homogeneous flows revisited
موضوعات مرتبط
مهندسی و علوم پایه مهندسی شیمی جریان سیال و فرایندهای انتقال
پیش نمایش صفحه اول مقاله
Kinetic models for dilute solutions of dumbbells in non-homogeneous flows revisited
چکیده انگلیسی

We propose a two-fluid theory to model a dilute polymer solution assuming that it consists of two phases, polymer and solvent, with two distinct macroscopic velocities. The solvent phase velocity is governed by the macroscopic Navier–Stokes equations with the addition of a force term describing the interaction between the two phases. The polymer phase is described on the mesoscopic level using a dumbbell model and its macroscopic velocity is obtained through averaging. We start by writing down the full phase-space distribution function for the dumbbells and then obtain the inertialess limits for the Fokker–Planck equation and for the averaged friction force acting between the phases from a rigorous asymptotic analysis. The resulting equations are relevant to the modelling of strongly non-homogeneous flows, while the standard kinetic model is recovered in the locally homogeneous case.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Non-Newtonian Fluid Mechanics - Volume 165, Issues 9–10, May 2010, Pages 509–518
نویسندگان
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