Nanotech 2003 Vol. 2
Nanotech 2003 Vol. 2
Technical Proceedings of the 2003 Nanotechnology Conference and Trade Show, Volume 2

Computational Methods and Numerics Chapter 12

A Numerical Model of Viscoelastic Flows in Microchannels

Authors: D. Trebotich, P. Colella, G. Miller and D. Liepmann

Affilation: Lawrence Livermore National Laboratory, United States

Pages: 520 - 523

Keywords: microfluidics, viscoelasticity

We present a numerical method to model non-Newtonian, viscoelastic flow at the microscale. The equations of motion are the incompressible Navier-Stokes equations coupled with the Oldroyd-B constitutive equation. This constitutive equation is chosen to model a Boger fluid which is representative of complex biological solutions exhibiting elastic behavior due to macromolecules in the solution (e.g., DNA solution). Our numerical approach is a projection method to impose the incompressibility constraint and a Lax-Wendroff method to predict velocities and stresses while recovering both viscous and elastic limits. The method is second-order accurate in space and time, free-stream preserving, has a time step constraint determined by the advective CFL condition, and requires the solution of only well-behaved linear systems amenable to the use of fast iterative methods. We demonstrate the method for viscoelastic incompressible flow in simple microchannels (2D) and microducts (3D).

A Numerical Model of Viscoelastic Flows in Microchannels

ISBN: 0-9728422-1-7
Pages: 600