Search results for "Suspension Flows"

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The Mean-Field Limit for Solid Particles in a Navier-Stokes Flow

2008

We propose a mathematical derivation of Brinkman's force for a cloud of particles immersed in an incompressible viscous fluid. Specifically, we consider the Stokes or steady Navier-Stokes equations in a bounded domain Omega subset of R-3 for the velocity field u of an incompressible fluid with kinematic viscosity v and density 1. Brinkman's force consists of a source term 6 pi rvj where j is the current density of the particles, and of a friction term 6 pi vpu where rho is the number density of particles. These additional terms in the motion equation for the fluid are obtained from the Stokes or steady Navier-Stokes equations set in Omega minus the disjoint union of N balls of radius epsilo…

Stokes equation01 natural sciencesHomogenization (chemistry)Navier-Stokes equationPhysics::Fluid DynamicsMathematics - Analysis of PDEsFOS: Mathematics[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]Boundary value problem0101 mathematicsMathematical Physics(MSC) 35Q30 35B27 76M50Particle systemPhysicsHomogenization010102 general mathematicsMathematical analysis35Q30 35B27 76M50Stokes equationsStatistical and Nonlinear Physics010101 applied mathematicsFlow velocityDragSuspension FlowsBounded functionCompressibilityBall (bearing)Navier-Stokes equationsAnalysis of PDEs (math.AP)
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