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 | Nanotech 2003 Vol. 2
Technical Proceedings of the 2003 Nanotechnology Conference and Trade Show, Volume 2
Chapter 12: Computational Methods and Numerics |
| | A Numerical Model of Viscoelastic Flows in Microchannels | | Authors: | D. Trebotich, P. Colella, G. Miller and D. Liepmann | | Affilation: | Lawrence Livermore National Laboratory, US | | Pages: | 520 - 523 | | Keywords: | microfluidics, viscoelasticity | | Abstract: | 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). |  | View paper | | ISBN: | 0-9728422-1-7 |
| Pages: | 600 |
| Hardcopy: | $125.00 |
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