Fluid flow modeling of micro-orifices using micropolar fluid theory

Hisham E. Hegab; Guohua Liu

doi:10.1117/12.395670

18 August 2000 Fluid flow modeling of micro-orifices using micropolar fluid theory

Hisham E. Hegab, Guohua Liu

Proceedings Volume 4177, Microfluidic Devices and Systems III; (2000) https://doi.org/10.1117/12.395670
Event: Micromachining and Microfabrication, 2000, Santa Clara, CA, United States

Abstract

Previous research has indicated that micropolar fluid theory may provide a better model of fluid flow in microfluidic devices than classical Navier-Stokes theory. Micropolar theory augments classical Navier-Stokes theory with additional equations that account for conservation of micro- inertia moments. In our work, a two-dimensional numerical model based on micropolar fluid theory is used to examine flow behavior in micro orifices. This particular flow geometry has many application within microfluidic systems and devices such as flow sensors and micro valves. The numerical model is validated by comparison to experimental data and an analytical solution determined for fully developed flow conditions in microchannels. The numerical model was used to examine the effect of orifice geometry on pressure drop and the size of the recirculation region. Simulations were performed for orifice contraction ratios of 0.2, 0.44, and 0.6. The numerical results indicate an increase in the pressure drop when compared to traditional macroscale theory predictions and a decrease in the size of the recirculation zones after the orifice. The results provide further evidence that micropolar fluid theory may provide a better approximation for the observed increases in friction that have been reported in the literature for experiments on microchannel flows.

Citation Download Citation

Hisham E. Hegab and Guohua Liu "Fluid flow modeling of micro-orifices using micropolar fluid theory", Proc. SPIE 4177, Microfluidic Devices and Systems III, (18 August 2000); https://doi.org/10.1117/12.395670

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available