The radially symmetric, steady, slow viscous slip flow through a curved duct of rectangular cross section is studied. The Stokes equation is solved using eigenfunction expansions and Navier’s slip condition. As slip is increased, the location of the maximum velocity moves from near center to the outer wall. The minimum velocity occurs at the inside corners. It is found that both slip and curvature promote the flow rate but not necessarily the mean velocity.
Low Reynolds Number Slip Flow in a Curved Rectangular Duct
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, Apr. 16, 2001; final revision, Sept. 6, 2001. Associate Editor: D. A. Siginer. Discussion on the paper should be addressed to the Editor, Professor Lewis T. Wheeler, Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Wang, C. Y. (September 6, 2001). "Low Reynolds Number Slip Flow in a Curved Rectangular Duct ." ASME. J. Appl. Mech. March 2002; 69(2): 189–194. https://doi.org/10.1115/1.1445142
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