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Review of Scientific Instruments / Volume 72 / Issue 11 / ARTICLES / CONDENSED MATTER; MATERIALS

Rev. Sci. Instrum. 72, 4212 (2001); http://dx.doi.org/10.1063/1.1409569 (6 pages)

Mathematical analysis of coaxial disk cellular shear loading devices

Michael C. Wendl

School of Medicine and Department of Mechanical Engineering, Washington University, 4444 Forest Park Boulevard, Box 8501, Saint Louis, Missouri 63108

(Received 13 April 2001; accepted 20 August 2001)

Coaxial disk devices are widely used at low Reynolds numbers to simulate cellular shear loading. Here, we develop a mathematical theory for analyzing fluid behavior in these instruments. It improves upon classical results by accounting for both unsteady dynamics and wall drag effects. All previous models are shown to be special cases of the present one. Most devices utilize a low aspect ratio, for which we find wall effects to be limited to small regions near the periphery. In these cases, classical theory yields acceptable precision over most of the domain. Investigators commonly simulate pulsatile effects using low-frequency sinusoidal forcing. Results indicate that fluid motion remains essentially harmonic, permitting the exact solution to be approximated by a simple separable expression. This approximation should be useful in analyzing specific configurations. A wavelike flow mode conjectured to exist at high Strouhal numbers is also discussed. © 2001 American Institute of Physics.

© 2001 American Institute of Physics

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KEYWORDS and PACS

Keywords

cellular biophysics, shear flow, pulsatile flow, biological fluid dynamics, flow simulation, biomedical measurement, fluidic devices

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.1409569

PUBLICATION DATA

ISSN

0034-6748 (print)  
1089-7623 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    S. R. Bussolari, C. F. Dewey, and M. A. Gimbrone, Rev. Sci. Instrum. 53, 1851 (1982)RSINAK000053000012001851000001.

    H.-P. Pao, Phys. Fluids 15, 4 (1972)PFLDAS000015000001000004000001.

    M. C. Wendl, Phys. Rev. E 60, 6192 (1999).

    R. F. Folse, D. A. Rodrigue, and D. L. Courtney, Phys. Fluids 29, 667 (1986)PFLDAS000029000003000667000001.

    S. I. Madanshetty, A. Nadim, and H. A. Stone, Phys. Fluids 8, 2011 (1996)PHFLE6000008000008002011000001.



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