Low Reynolds Number Slip Flow in a Curved Rectangular Duct

[+] Author and Article Information
C. Y. Wang

Departments of Mathematics and Mechanical Engineering, Michigan State University, East Lansing, MI 48824 Mem. ASME

J. Appl. Mech 69(2), 189-194 (Sep 06, 2001) (6 pages) doi:10.1115/1.1445142 History: Received April 16, 2001; Revised September 06, 2001
Copyright © 2002 by ASME
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Navier,  C. L. M., 1827, “Sur les lois du mouvement des fluides,” C. R. Acad. Sci., 6, pp. 389–440.
Happel, J., and Brenner, H., 1991, Low Reynolds Number Hydrodynamics, 2nd Ed., Kluwer, Dordrecht, The Netherlands.
Ebert,  W. A., and Sparrow,  E. M., 1965, “Slip Flow in Rectangular and Annular Ducts,” J. Basic Eng., 87, pp. 1018–1024.
Shah, R. K., and London, A. L., 1978, Laminar Flow Forced Convection in Ducts, Academic Press, San Diego, CA.


Grahic Jump Location
Cross section of the curved rectangular duct
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Equivelocity lines for the a=b=0.5 duct. (a) μ̄=0, (b) μ̄=0.5, (c) μ̄=1, (d) μ̄=5. Only the top halves are shown. Values are for v(r,z).
Grahic Jump Location
Velocity distribution for azimuthal flow through an annulus
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Normalized mean velocity as a function of a for various constant slip factor μ̄. Unless otherwise noted, dashed lines are from 5 or Eq. (27). (a) b=a, (b) b=0.5a, (c) b=2a.
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Normalized mean velocity for high aspect-ratio ducts. Continuous lines are when b=5a. Dashed lines are from Eq. (25) b=∞.
Grahic Jump Location
The mean velocity as a function of height b for a=0.5 and given slip factor μ̄. Dashed lines are the b=∞ results from Eq. (25).



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