52
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Hyperbolic‐Tangent Model Analysis of Permeate Flux for Ultrafiltration in Hollow‐Fiber Modules by Momentum Balance

, &
Pages 245-258 | Received 13 Jun 2007, Accepted 16 Oct 2007, Published online: 29 Jan 2008

References

  • Ho , W. S.W. and Sirkar , K. K. 1992 . Membrane Handbook New York : Chapman and Hall .
  • Schweitzer , P. A. 1979 . Handbook of Separation Techniques for Chemical Engineers New York : McGraw‐Hill .
  • Cheryan , M. 1986 . Ultrafiltration Handbook Lancaster, Pennsylvania : Technomic Publiching Co. Inc. .
  • Nokao , S. , Nomura , T. and Kimura , S. 1979 . Characteristics of macromolecular gel layer formed on ultrafiltration tubular membrane . AIChE J. , 25 : 615
  • Fane , A. G. , Fell , C. J. D. and Waters , A. G. 1981 . The relationship between membrane surface pore characteristics and flux for ultrafiltration membranes . J. Member. Sci. , 9 : 245
  • Filnn , J. E. 1970 . Membrane Science and Technology New York : Plenum Press .
  • Porter , M. C. 1972 . Concentration polarization with membrane ultrafiltration . Ind. Eng. Chem. Proc. Res. Dev. , 11 : 234
  • Grieves , R. B. , Bhattacharyya , D. , Schomp , W. G. and Bewley , J. L. 1973 . Membrane ultrafiltration of a nonionic surfactant . AIChE J. , 19 : 766
  • Shen , J. J. S. and Probstein , R. F. 1977 . On the prediction of limiting flux in laminar ultrafiltration of macromolecular solutions . Ind. Eng. Chem. Fundam. , 16 : 459
  • Fane , A. G. 1984 . Ultrafiltration of suspensions . J. Membr. Sci. , 20 : 249
  • Clifton , M. J. , Abidine , N. , Aptel , P. and Sanchez , V. 1984 . Growth of the polarization layer in ultrafiltration with hollow‐fiber membranes . J. Membr. Sci. , 21 : 233
  • Wijmans , J. G. , Nakao , S. and Smolders , C. A. 1984 . Flux limitation in ultrafiltration: osmotic pressure model and gel layer model . J. Membr. Sci. , 20 : 115
  • Kozinki , A. A. and Lightfoot , E. N. 1972 . Protein ultrafiltration: a general example of boundary layer filtration . AIChE J. , 18 : 1030
  • Leung , W. and Probstein , R. F. 1979 . Low polarization in laminar ultrafiltration of macromolecular solutions . Ind. Eng. Chem. Fundam. , 18 : 274
  • Wendt , R. P. , Klein , E. , Holland , F. F. and Eberle , K. E. 1981 . Hollow fiber ultrafiltration of calf serum and albumin in the pregel uniform‐wall‐flux region . Chem. Eng. Commun. , 8 : 251
  • Nakao , S. and Kimura , S. 1982 . Model of membrane transport phenomena and their applications for ultrafilration data . J. Chem. Eng. Jpn. , 15 : 200
  • Kleinstreuer , C. and Paller , M. S. 1983 . Laminar dilute suspension flows in plate‐and‐frame ultrafiltration units . AIChE J. , 29 : 529
  • Ma , R. P. , Gooding , C. H. and Alexander , W. K. 1985 . A dynamic model for low‐pressure, hollow‐fiber ultrafiltration . AIChE J. , 31 : 1782
  • Nabetani , H. , Nakajima , M. , Watanable , A. , Nakao , S. and Kumura , S. 1990 . Effects of osmotic pressure and adsorption on ultrafiltration of ovalbumin . AIChE J. , 36 : 907
  • Chiang , B. H. and Cheryan , M. 1986 . Ultrafiltration on skim milk in hollow fibers . J. Food Sci. , 51 : 340
  • Assadi , M. and White , D. A. 1992 . A model for determining the steady state flux of inorganic microfiltration membrane . Chem. Eng. J. , 48 : 11
  • Yeh , H. M. and Cheng , T. W. 1993 . Resistance‐in‐series for membrane ultrafiltration in hollow fiber of tube‐and‐shell arrangement . Sep. Sci. Technol. , 28 : 1341
  • Song , L. and Elimelech , M. 1995 . Theory of concentration polarization in crossflow filtration . J. Chem. Soc. Faraday Trans. , 91 : 3389
  • Song , L. 1998 . A new model for the calculation of the limiting flux in ultrafiltration . J. Membr. Sci. , 144 : 173
  • Bird , R. B. , Stewart , W. E. and Lightfoot , E. N. 1971 . Transport Phenomena New York : Wiley .
  • Yeh , H. M. and Cheng , T. W. 1998 . Permeate flux behaviors under various pressure declines in membrane ultrafiltration module . Chem. Eng. Commum. , 170 : 185
  • Yeh , H. M. , Chen , T. W. and Yeh , Y. J. 2000 . Sizing agent recovery by membrane ultrsfiltration in hollow‐fiber modules . Chem. Eng. Commum. , 177 : 204
  • Yeh , H. M. and Wu , H. H. 1997 . Membrane ultrafiltration in combined hollow‐fiber module systems . J. Membr. Sci. , 124 : 93
  • Yeh , H. M. and Tsai , J. W. 1998 . Membrane ultrafiltration in multipass hollow‐fiber modules . J. Membr. Sci. , 142 : 61
  • Cheng , T. W. 1992 . A Study on the Hollow‐Fiber Membrane Ultrafiltration Taipei, , Taiwan : National Taiwan University . Ph.D Diss

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.