ISSN:
1573-9686
Source:
Springer Online Journal Archives 1860-2000
Topics:
Medicine
,
Technology
Notes:
Abstract Continuum flow theory (Poiseuille flow, Fick diffusion) is of dubious validity for small pores. For gases, kinetic theory permits an extension of continuum theory to Knudsen near-continuum slip-flow, by means of a change only in boundary conditions. The range of validity of near-continuum gas flow theory is for channel widths larger than a small number of mean free paths. Here a comparable kinetic theory extension of continuum theory has been developed for liquids. A “saltation,” near rolling, boundary condition is shown to be applicable. The range of validity of this near continuum liquid flow theory is for channels wider than about five molecular diameters (i.e., 15 Å for water). Predictions of the theory are tested against the well calibrated data of Beck and Schultz (1972) as well as data from biological membranes. The results are compared with the continuum theory used by Renkin (1954) and others.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02367272
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