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Concentration build-up in reverse osmosis in turbulent flow

โœ Scribed by Y. Winograd; A. Solan

Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
733 KB
Volume
7
Category
Article
ISSN
0011-9164

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โœฆ Synopsis

The paper considers reverse osmosis in turbulent flow in round tubes. The problem of concentration build-up at the membrane surface in the mass-transfer entry length in fully developed turbulent flow is formulated, taking into account incomplete salt rejection at the membrane and axial variation of the osmotic pressure. The concentration boundary layer development is calculated numerically for representative values of the governing parameters. Desalination. 7 (1969]70) 97-109 Y. WINDGRAD AND A. SDL.AN -water flux, -R,44U, -radial velocity, axial coordinate. radial cooadinnte from tube wall inward, -eddy diffusivity, -variable defined in (/O). -kinematic viscosity. -variable defined in (lo), -osmotic pressure_ -density. shear stress. Subscripts 00 -tube inlet, ( 1%. -membrane wall. _ ( )P -product, ( J4f -development length. Superscripts ( 1' -dimensionless, Eqs. (3) (8).

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