A solution is given in power series form to the problem of fully developed laminar flow in a uniformly porous tube. Although the general analysis is similar to a previous solution for a porous channel, the present tube results exhibit marked instabilities for wall suction, in contrast to the well-behaved channel results. A physical reason for the instabilities has been given in a recent paper by Weissberg, whose analysis of the inlet region indicates a breakdown in the assumption of fully developed flow.
Laminar Flow in a Uniformly Porous Tube
F. M. White, Jr.
Georgia Institute of Technology, Atlanta, Ga.
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White, F. M., Jr. (March 1, 1962). "Laminar Flow in a Uniformly Porous Tube." ASME. J. Appl. Mech. March 1962; 29(1): 201–204. https://doi.org/10.1115/1.3636459
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