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Incompressible Bipolar and Non-Newtonian Viscous Fluid Flow

種類:
電子ブック
責任表示:
by Hamid Bellout, Frederick Bloom
出版情報:
Cham : Springer International Publishing : Imprint: Birkhäuser, 2014
著者名:
シリーズ名:
Advances in Mathematical Fluid Mechanics ;
ISBN:
9783319008912 [3319008919]  CiNii Books  Calil
注記:
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 pr
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