Boundary Element Method For Micropolar
Fluid Flow In A Channel
Author(s)
M. Zadravec, M. Hriberšek & L. Škerget
Abstract
The contribution deals with numerical simulation of micropolar fluid flow in
channel, describing flow of suspensions with rigid and underformable particles
with own rotation. The micropolar fluid flow theory is incorporated into the
framework of a velocity-vorticity formulation of Navier-Stokes equations. The
governing equations are derived in differential and integral form, resulting from
the application of a Boundary Element Method (BEM). In integral
transformations, the diffusion-convection fundamental solution for flow kinetics,
including vorticity transport, heat transport and microrotation transport, is
implemented. The Poiseuille flow test case is the benchmark case of channel
flow. The results show, that the ratio between vortex viscosity coefficient and
spin gradient viscosity coefficient controls the microrotation in the micro
channel.
Keywords: boundary element method, micropolar fluid, poiseuille flow.
1 Introduction
In the recent years there was a progress in a micromachining technology.
Opinion of a few scientists is that flows on the microscale differ from that on a
macroscale, described by the Navier-Stokes equations. To clarify such
assumption micropolar fluid theory is gaining interest of a lot of researchers.
Micropolar fluids are a subclass of microfluids, introduced by Eringen [1]. A
simple microfluid is by Eringen’s definition a fluid medium whose properties
and behaviour are influenced by the local motions of the material particles
contained in each of its volume elements. A microfluid is isotropic viscous fluid
and possesses local inertia. Because of a complex formulation for a general
microfluid this class of fluids is divided into subclasses, which allow a simplified
Keywords
boundary element method, micropolar fluid, poiseuille flow.
Related Book
Other papers in this volume
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