Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-11T00:33:46.720Z Has data issue: false hasContentIssue false
  • English
  • Français

Computational Modeling of Microchannel Flows on Laboratory Compact Disk (LABCD)

Published online by Cambridge University Press:  05 May 2011

C.-M. Lin ,
T.-C. Lin ,
C.-M. Tan  and
T.-H. Tsai
C.-M. Lin*
Affiliation:
Graduate School of Opto-Mechatronics and Materials, WuFeng Institute of Technology, Chia-Yi, Taiwan 62153, R.O.C.
T.-C. Lin*
Affiliation:
Dept. Computer Science and Information Engineering, WuFeng Institute of Technology, Chia-Yi, Taiwan 62153, R.O.C.
C.-M. Tan*
Affiliation:
Department of Mechanical Engineering, WuFeng Institute of Technology, Chia-Yi, Taiwan 62153, R.O.C.
T.-H. Tsai*
Affiliation:
Department of Mechanical Engineering, WuFeng Institute of Technology, Chia-Yi, Taiwan 62153, R.O.C.
*
* Professor, corresponding author
** Associate Professor
** Associate Professor
** Associate Professor
Get access

Abstract

This paper models and analyzes flows in linear and curved microchannels on a rotating Laboratory Compact Disk (LabCD). The effects of centrifugal force are introduced into the governing equations of the microchannel flow to promote the fluidic velocity in the microchannel. The microchannel types on the LabCD must be designed following a process of mathematical identification. A flow model which takes into account the combined effects of viscosity, capillary forces, pressure difference and rotation is developed. A reduction-order technique is applied to obtain linear and nonlinear governing equations for flows in straight and curviform microchannels, respectively. The analytical solutions for the flow in the tubular microchannel are obtained using the Laplace transform method, while the numerical solutions for the curviform microchannel or microchannel with a varying cross-section are obtained using a piecewise linear method. The results show that the analyzed models are easily presented by a mathematical expression for the case of a tubular microchannel and simulated using a numerical program for the case of special microchannels. The modeling presented in this paper enables the performance of LabCD devices to be significantly enhanced by providing insights into the fluid flow behavior in microchannels of varying configurations under different rotational velocities.

Keywords

LoCLabCDMicrochannelFluidic chipCentrifugal forceReduced-order techniqueLaplace transform methodPiecewise linear method
Type
Articles
Information
Journal of Mechanics , Volume 26 , Issue 2 , June 2010 , pp. 239 - 247
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Lin, C. H., Lee, G. B., Chen, S. H. and Chang, G. L., “Micro Capillary Electrophoresis Chips Integrated with Buried SU-8/SOG Optical Waveguides for Bio-Analytical Applications,” Sensors and Actuators A, 107(2), pp. 125–131(2003).CrossRefGoogle Scholar
2.Panzarella, Charles, “Microfluidic Biochip Design,” In Strategic Research to Enable NASA 's Exploration Missions ConferenceNASA/TM-2004–2131142004.Google Scholar
3.Tudos, A. J., Besselink, G. A. J. and Schasfoort, R. B. M., “Trends in Miniaturized Total Analysis Systems for Point-of-Care Testing in Clinical Chemistry,” Lab on a Chip, 1(2), pp. 83–95(2001).CrossRefGoogle Scholar
4.Vilkner, T., Janasek, D. and Manz, A., “Micro Total Analysis Systems. Recent Developments,” Analytical Chemistry, 76, pp. 3373–3386 (2004).CrossRefGoogle Scholar
5.Reyes, D., Iossifidis, D., Auroux, P. and Manz, A., “Micro Total Analysis Systems. 1. Introduction, Theory, and Technology,” Analytical Chemistry, 74, pp. 2623–2636 (2002).CrossRefGoogle Scholar
6.Auroux, P., Reyes, D., Iossifidis, D. and Manz, A., “Micro Total Analysis Systems. 2. Analytical Standard Operations and Applications,” Analytical Chemistry, 74, pp. 2637–2652 (2002).CrossRefGoogle Scholar
7.Puckett, L., Dikici, E., Lai, S. and Madou, M. J., “Investigation Into the Applicability of the Centrifugal Microfluidic s Platform for the Development of Protein–Ligand Binding Assays Incorporating Enhanced Green Fluorescent Protein as a Fluorescent Reporter,” Analytical Chemistry, 76, pp. 7263–7268 (2004).CrossRefGoogle Scholar
8.Ekstrand, G., Holmquist, C., Orleforn, A. E., Hellmann, B., Larsson, A. and Andersson, P., “Microfluidics in a Rotating CD,” Proceedings of μTAS, pp. 311–314(2000).CrossRefGoogle Scholar
9.Thorsen, G., Ekstrand, G., Selditz, U., Wallenborg, S.R. and Andersson, P., “Integrated Microfluidic for Parallel Processing of Proteins in a CD Microlaboratory,” Proceedings of μTAS, pp. 457–460 (2003).Google Scholar
10. http://www.bio-disk.com.Google Scholar
11.Madou, M. J. and Kellogg, G. J., “LabCD: A Centrifuge-Based Microfluidic Platform for Diagnostics,” Proceedings of SPIE, 3259, pp. 80–93 (1998).CrossRefGoogle Scholar
12.Lin, C. M., “Enhancement of Underfill Capillary Flow in Flip-Chip Packaging by Means of the Inertia Effect,” IEEE Transactions on Advanced Packaging, 27(3), pp. 533–539 (2004).CrossRefGoogle Scholar
13.Lin, C. M., Chang, W. J. and Fang, T. H., “Flip-Chip Underfill Packaging Considering Capillary Force, Pressure Difference, and Inertia Effects,” ASME Journal of Electronic Packaging, 129(1), pp. 48–55 (2007).CrossRefGoogle Scholar
14.Lin, C. M., Fang, T. H. and Chang, W. J., “Computational Modeling of Micro-Fluid Flow in a Tubular Microchannel,” Materials Science Forum, 505–507, pp. 433–438 (2006).CrossRefGoogle Scholar
15.Zeng, J., “On Modeling of Capillary Filling,” Technical Note, Coventor, Inc. Information on http://www.coventor.com/media/papers/on_modeling_of_capillary_filling.pdf.Google Scholar
16.Yang, H. Q. and Przekwas, A. J., “Computational Modeling of Microfluid Devices with Free Surface Liquid Handling,” Technical Proceedings of the 1998 International Conference on Modeling and Simulation of Microsystems1998.Google Scholar
17.Schonhorn, H., Frisch, H. and Kwei, T. K., “Kinetics of Wetting of Surfaces by Polymer Melts,” Journal of Applied Physics, 37, pp. 4967–4973 (1966).CrossRefGoogle Scholar
18.Newman, S., “Kinetics of Wetting of Surfaces by Polymers; Capillary Flow,” Journal of Colloid Interface Science, 26, pp. 209–213 (1968).CrossRefGoogle Scholar
19.Kreysizg, E., Advanced Engineering Mathematics, Ch. 6, 8th Ed., John Wiley and Sons. Inc. (1999).Google Scholar