Generalized Navier-Stokes equations for active suspensions

被引：0
作者：
J. Słomka
J. Dunkel
机构：
[1] Massachusetts Institute of Technology,Department of Mathematics
来源：
The European Physical Journal Special Topics | 2015年 / 224卷
关键词：
European Physical Journal Special Topic; Discrete Fourier Transform; Parameter Plane; Active Suspension; Real Positive Root;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We discuss a minimal generalization of the incompressible Navier-Stokes equations to describe the complex steady-state dynamics of solvent flow in an active suspension. To account phenomenologically for the presence of an active component driving the ambient fluid flow, we postulate a generic nonlocal extension of the stress-tensor, conceptually similar to those recently introduced in granular flows. Stability and spectral properties of the resulting hydrodynamic model are studied both analytically and numerically for the two-dimensional (2D) case with periodic boundary conditions. Future generalizations of this theory could be useful for quantifying the shear properties of active suspensions.
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页码：1349 / 1358
页数：9
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