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2009 | 78 | 2 |

Tytuł artykułu

Derivation of the formula for the filtration coefficient by application of Poiseuille's law in membrane transport

Treść / Zawartość

Warianty tytułu

Języki publikacji

EN

Abstrakty

EN
On the basis of Kedem-Katchalsky equations a mathematical analysis of volume flow (Jv) of a binary solution through a membrane (M) is presented. Two cases of transport generators have been considered: hydrostatic (Δp) as well as osmotic (Δπ) pressure difference. Based on the Poiseuille's law we derive the formula for the membrane filtration coefficient (Lp) which takes into account the membrane properties, kinetic viscosity and density of a solution flowing across the membrane. With use of this formula we have made model calculations of the filtration coefficient Lp and volume flow Jv for a polymer membrane in the case when the solutions on both sides of the membrane are mixed.

Wydawca

-

Rocznik

Tom

78

Numer

2

Opis fizyczny

p.93-96,fig.,ref.

Twórcy

autor
  • Technical High School of Environment Developing, Broniewskiego 16, 97-300 Piotrkow Trybunalski, Poland

Bibliografia

  • BACCHIN P., ESPINASSE B., BESSIERE Y., FLETCHER D.F., AIMAR P. 2006. Numerical simulation of colloidal dispersion filtration; description of critical flux and comparison with experimental results, Desalination 192: 74-81.
  • DOŁOWY K., SZEWCZYK A., PIKUŁA S. 2003. Biological membranes, page 109. Scientific Publisher “Śląsk” Katowice-Warszawa. (in Polish)
  • GINZBURG B.Z., KATCHALSKY A. 1963. The frictional coefficients of the flows on non-electrolytes through artificial membrane. J. Gen. Physiol. 47: 403-418.
  • GUMIŃSKI K. 1962. Thermodynamics of Irreversible Processes. PWN, Warsaw. pp 57-63. (in Polish)
  • JARZYŃSKA M. 2005. Mechanistic equations for membrane substance transport are consistent with Kedem - Katchalsky equations. J. Membr. Sci. 263: 162-163.
  • KATCHALSKY A., CURRAN P.F. 1965. Non-equilibrium Thermodynamics in Biophysics. Harvard University Press, Cambridge, MA.
  • KEDEM O., KATCHALSKY A. 1958. Thermodynamics analysis of the permeability of biological membranes to non-electrolytes. Biochim. Biophys. Acta 27: 229-246.
  • KEDEM O., KATCHALSKY A. 1963. Permeability of composite membranes. Trans. Faraday. Soc. 59 (Part 1-3).
  • KOTER S. 2005. The Kedem-Katchalsky equations and the sieve mechanism of membrane transport. J. Membr. Sci. 246: 109-111.
  • ŚLĘZAK A., DWORECKI K., JASIK-ŚLĘZAK J., WĄSIK J. 2004. Method to determine the critical concentration Rayleigh number in isothermal passive membrane transport processes. Desalination 168: 397-412.

Typ dokumentu

Bibliografia

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