1960
DOI: 10.1002/aic.690060418
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The role of porosity in filtration: IV. Constant pressure filtration

Abstract: W R e = concentration as a function t of position Z and time t, g./ u = ml.concentration at Z = L and u ' = t = t, g./ml. mean concentration, g./ml. z = concentration at Z = 0, and t = t, g./ml. Reynolds number = d,U'p/p time, sec. interstitial velocity in bed, cm./sec. tube, cm./sec. longitudinal distance in bed, cm. LITERATURE CITED 1. Carberry, J. J., and R. H. Bretton, A.l.Ch.E. JournaZ, 4, 367 (1958). 2. Deisler, P. F., Jr., and R. H. Wiiheh, Ind. Eng. Chem., 45, 1219 ( 1953). based On 3. Ebach, E. A., an… Show more

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Cited by 112 publications
(44 citation statements)
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“…This equation agrees with a filtration model given by Tiller and Cooper [14], Carmen-Kozeny's equation for average specific resistance (α), and an equation by Happel and Brenner [15] for Kozeny's constant. The Happel and Brenner model and Carmen-Kozeny equation both determine specific resistance but assume the domain is made up of either unit cells or bundles of parallel tubes.…”
Section: (Equation 2)supporting
confidence: 74%
“…This equation agrees with a filtration model given by Tiller and Cooper [14], Carmen-Kozeny's equation for average specific resistance (α), and an equation by Happel and Brenner [15] for Kozeny's constant. The Happel and Brenner model and Carmen-Kozeny equation both determine specific resistance but assume the domain is made up of either unit cells or bundles of parallel tubes.…”
Section: (Equation 2)supporting
confidence: 74%
“…Although the filter cake generally exhibits compressible behavior in which α av varies with the applied filtration pressure, it should be noted that Eq. (15) is applicable to not only the incompressible cake but also compressible cake (Tiller and Cooper, 1960;Tiller and Shirato, 1964). Differentiating Eq.…”
Section: Mechanism Of Blocking Filtrationmentioning
confidence: 99%
“…(9)Ҁ(11). Thus, the variation of the mass fraction c of the solid in the filter cake with the distance x from the medium surface can be also calculated from the result of e versus w. For a practical standpoint, the following empirical functions of p s may be convenient for simplified evaluations of filtration characteristic values [12,13].…”
Section: Compressible Cake Filtration Modelmentioning
confidence: 99%