Coiled membrane filtration system
a filtration system and coiled technology, applied in the field of coiled membrane filtration system, can solve the problems of scale-up membrane area, high energy consumption, and difficulty in scaling-up membrane area, and achieve the effect of reducing concentration polarization and strengthening our knowledg
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The circumstances under which vortices appear in curved channel flow have been determined by Dean, W. R., "Fluid motion in a curved channel", Pro. Roy. Sco A 121 (1928) 402-420. The appearance of vortices depends on the velocity of the fluid characterized by a Reynolds number and the ratio of the inner and the outer radii of the curved channel. An equation relating the critical Reynolds number to the ratio of radii has been given by Reid for the narrow gap theory: ##EQU1##
where .eta. is the ratio of the inner radius r.sub.i and the outer radius r.sub.o of a curved channel and k.sub.s +35.94. See Reid, W. H., "On the stability of viscous flow in a curved channel", Proc. Roy. Sco. A, 244 (9158) 186-198.
In U.S. Pat. No. 5,204,002, the linear and weakly non-linear stability analysis for Re.sub.c for the wide-gap theory was disclosed. The results of the two theories are shown in FIG. 1. Both have been derived for a curved slit. However, they are based on Dean's equations which do not spe...
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