Fluid flow in a microchannel: a stochastic approach

Hilda Marino Black; Raja Nassar; Weizhong Dai

doi:10.1117/12.442950

28 September 2001 Fluid flow in a microchannel: a stochastic approach

Hilda Marino Black, Raja Nassar, Weizhong Dai

Proceedings Volume 4557, Micromachining and Microfabrication Process Technology VII; (2001) https://doi.org/10.1117/12.442950
Event: Micromachining and Microfabrication, 2001, San Francisco, CA, United States

Abstract

In this study a stochastic model is applied in order to determine flow characteristics at the particulate level in a micro-channel. Model equations were discretized using Central Difference and Backward Difference methods and solved using the Jacobi method. The solution to the model equations provides the probability distribution of the distance traveled by a particle in the micro-channel as a function of time and reflects the dispersion property of the flow. From the probability distribution, residence time of a particle in the micro-channel is determined. Knowledge of Residence time and of dispersion characteristics is essential in studying the performance of a micro-reactor or in studies related to molecular or particulate flow in biological systems.

Citation Download Citation

Hilda Marino Black, Raja Nassar, and Weizhong Dai "Fluid flow in a microchannel: a stochastic approach", Proc. SPIE 4557, Micromachining and Microfabrication Process Technology VII, (28 September 2001); https://doi.org/10.1117/12.442950

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