书目名称 | Incompressible Bipolar and Non-Newtonian Viscous Fluid Flow |
编辑 | Hamid Bellout,Frederick Bloom |
视频video | |
概述 | Exceptionally well-written and strong presentation of the case for bipolar fluids.Provides a comprehensive and consolidated reference for the multipolar fluid model.Presents applications of the model |
丛书名称 | Advances in Mathematical Fluid Mechanics |
图书封面 |  |
描述 | .The theory of incompressible multipolar viscous fluids is a non-Newtonian model of fluid flow, which incorporates nonlinear viscosity, as well as higher order velocity gradients, and is based on scientific first principles. The Navier-Stokes model of fluid flow is based on the Stokes hypothesis, which a priori simplifies and restricts the relationship between the stress tensor and the velocity. By relaxing the constraints of the Stokes hypothesis, the mathematical theory of multipolar viscous fluids generalizes the standard Navier-Stokes model. The rigorous theory of multipolar viscous fluids is compatible with all known thermodynamical processes and the principle of material frame indifference; this is in contrast with the formulation of most non-Newtonian fluid flow models which result from ad hoc assumptions about the relation between the stress tensor and the velocity. The higher-order boundary conditions, which must be formulated for multipolar viscous flow problems, are a rigorous consequence of the principle of virtual work; this is in stark contrast to the approach employed by authors who have studied the regularizing effects of adding artificial viscosity, in the form of |
出版日期 | Book 2014 |
关键词 | Poisueille flow in a channel; flow between rotating cylinders; flow over rough boundaries; multipolar f |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-00891-2 |
isbn_softcover | 978-3-319-34553-6 |
isbn_ebook | 978-3-319-00891-2Series ISSN 2297-0320 Series E-ISSN 2297-0339 |
issn_series | 2297-0320 |
copyright | Springer International Publishing Switzerland 2014 |