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Convective diffusion in rotating disk systems with an imperfect semipermeable interface
Author(s) -
Zeh Dale W.,
Gill William N.
Publication year - 1968
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690140507
Subject(s) - mechanics , prandtl number , mass transfer , thermodynamics , schmidt number , semipermeable membrane , péclet number , momentum (technical analysis) , chemistry , partial differential equation , convection , classical mechanics , physics , mathematics , mathematical analysis , membrane , biochemistry , finance , economics
Solutions to the momentum and diffusion equations are obtained for rotating disk systems with an imperfect semipermeable interface, with direct application made to the reverse somosis or hyperfiltration process of salt water purification. The equations are solved exactly, and a new technique for solving the momentum equations is described. An approximate solution to the diffusion equation is also obtained which is also applicable to the energy equation, and is shown to be accurate for Prandtl and Schmidt numbers ≥ 1, for a wide range of interfacial mass transfer, for all wedge‐type flows as well as the rotating disk system.