کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4992370 1457263 2017 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence theorem for homogeneous incompressible Navier-Stokes equation with variable rheology
موضوعات مرتبط
مهندسی و علوم پایه مهندسی شیمی جریان سیال و فرایندهای انتقال
پیش نمایش صفحه اول مقاله
Existence theorem for homogeneous incompressible Navier-Stokes equation with variable rheology
چکیده انگلیسی
We look at a homogeneous incompressible fluid with a time and space variable rheology of Bingham type, which is governed by a coupling equation. Such a system is a simplified model for a gas-particle mixture that flows under the influence of gravity. The main application of this kind of model is pyroclastic flows in the context of volcanology. In order to prove long time existence of weak solutions, classical Galerkin approximation method coupled with a priori estimates allows us to partially solve the problem. A difficulty remains with the stress tensor, which must satisfy an implicit constitutive relation. Some numerical simulations of a flow of this type are given in the last section. These numerical experiments highlight the influence of the fluidization phenomenon in the flow.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Mechanics - B/Fluids - Volume 61, Part 1, January–February 2017, Pages 135-143
نویسندگان
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