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Stokes Flow through an Array of Staggered Strips

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Abstract

The Stokes flow through a periodic array of thin staggered strips is studied. The method of eigenfunction expansion and collocation is used to obtain detailed flow and pressure fields. The permeabilities in the three principle directions are found to be different and their characters depend heavily on the geometry. Approximate formulas are also obtained.

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References

  1. Patankar, S.V., Hu, C.H. and Sparrow, E.M., Fully developed flow and heat transfer in ducts having streamwise-periodic variations of cross-sectional area. J. Heat Trans. 99 (1977) 180–186.

    Google Scholar 

  2. Prakash, C. and Sparrow, E.M., Natural convection heat transfer performance evaluations for discrete-continuous plate arrays. Num. Heat Trans. 3 (1980) 89–105.

    Google Scholar 

  3. Dagan, G., Flow and Transport in Porous Formations. Berlin: Springer-Verlag (1989).

    Google Scholar 

  4. Sahimi, M., Flow and Transport in Porous Media and Fractured Rock, Weinheim: VCH (1995).

    Google Scholar 

  5. Skartsis, L., Kardos, J.L. and Khomani, B., Resin flow through fiber beds during composite manufacturing processes, Part I. Review of Newtonian flow through fiber beds. Polymer. Eng. and Sci. 32 (1992) 221–230.

    Google Scholar 

  6. Adler, P.M., Porous Media, Geometry and Transports. London: Butterworths (1992).

    Google Scholar 

  7. Wang, C.Y., Stokes flow through an array of rectangular fibers. Int. J. Multiphase Flow 22 (1996) 185–194.

    Google Scholar 

  8. Wang, C.Y., Flow and heat transfer between plates with longitudinal fins. Appl. Sci. Res. 54 (1995) 23–38.

    Google Scholar 

  9. Hasimoto, H., On the flow of a viscous fluid past a thin screen at small Reynolds numbers. J. Phys. Soc. Japan 13 (1958) 633–639.

    Google Scholar 

  10. Schlichting, H., Boundary Layer Theory, 7th edn, New York: McGraw-Hill (1979).

    Google Scholar 

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Authors and Affiliations

  1. Departments of Mathematics and Mechanical Engineering, Michigan State University, East Lansing, MI, 48824, U.S.A.

    C.Y. Wang

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  1. C.Y. Wang
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Wang, C. Stokes Flow through an Array of Staggered Strips. Flow, Turbulence and Combustion 59, 27–41 (1997). https://doi.org/10.1023/A:1000854414909

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  • DOI: https://doi.org/10.1023/A:1000854414909

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