Mathematics in Nanoscale Science and Engineering

Microfluidics in the 21st Century

November 12 - 13, 2002

Schedule and Presentations

Organizing Committee:

Andrew Bernoff (Harvey Mudd College)
Andrea Bertozzi (Duke University)
Russel Caflisch (UCLA)

Scientific Background

Microfluidics is a rapidly growing field being driven by new technological applications in the medical, materials, and chemical sciences. For example, developing biotechnologies require handling small quantities of many different fluids. With the increasing complexity of experiments, devices have shrunk, and the strategy of "smaller is better" has begun to transform the world of fluidics as it has transformed the world of electronics. As the scale on which we study fluids decreases, the effects driving and dominating fluid motion change radically. At micron scales, fluids are primarily dominated by surface tension and viscous forces. Naively, one might think this simplifies the analysis of fluid motion. However, a new set of physical effects begin to become relevant on these scales. Gradients in surface tension, due to temperature or solutal variation yield Marangoni stresses. Intermolecular forces (in particular van der Waals forces) between fluids and substrates can drive the rupture of thin films. Surfactants can lead to dipolar surface charge distributions that can drive surface motion. Moreover, at these scales the continuum approximation can begin to fail; ordering of molecular orientation on a solid surface can lead to additional stresses. Surface roughness and inhomogeneities neglected at terrestrial scales must also be modeled to faithfully reproduce experimental results.

Speakers

Contact Us:

Institute for Pure and Applied Mathematics (IPAM)
Attn: NANOMICRO
460 Portola Plaza
Los Angeles CA 90095-7121
Phone: 310 825-4755
Fax: 310 825-4756
Email: ipam@ucla.edu
Website: http://www.ipam.ucla.edu/programs/nanomicro/