Concentration polarization in an unstirred batch cell: Measurements and comparison with theory

作者: M.K Liu , F.A Williams

DOI: 10.1016/0017-9310(70)90179-1

关键词:

摘要: Abstract Experimental and theoretical results are reported for a model that aids in understanding the performance of desalination equipment based on reverse osmosis. The consists cylinder closed by semipermeable membrane at one end connected to pressurization chamber other. one-dimensional, transient flow device is governed salt diffusion equation which contains quadratically nonlinear convective term subject boundary condition applied surface membrane. rejection coefficient R ratio δ initial osmotic pressure difference hydrostatic across occur as parameters. Summaries given from extensions previous solutions time development concentration profiles dependence rate water flows through Discussions flow-rate measurements use specially developed electrical conductivity microprobes measuring pointwise histories directly. rates histories, accurate within 5–10 per cent, presented compared with theories three cases, ⪡ 1, 1 − intermediate values δ. Values range 0.8 0.99 MgSO 4 pressures below 150 psi. experimental support each theory its proper applicability. They reveal existence an inside none agree experiment 10 cent.

参考文章(7)
Ulrich Merten, Desalination by Reverse Osmosis M.I.T.. ,(1966)
P. K. Nair, J. I. Spande, W. J. Whalen, A microelectrode for measuring intracellular PO2. Journal of Applied Physiology. ,vol. 23, pp. 798- 801 ,(1967) , 10.1007/978-1-4684-4895-5_85
F. A. Williams, A Nonlinear Diffusion Problem Relevant to Desalination by Reverse Osmosis SIAM Journal on Applied Mathematics. ,vol. 17, pp. 59- 73 ,(1969) , 10.1137/0117006
Richard J. Raridon, Lawrence Dresner, Kurt A. Kraus, Hyperfiltration studies V. Salt rejection of membranes by a concentration polarization method Desalination. ,vol. 1, pp. 210- 224 ,(1966) , 10.1016/S0011-9164(00)80253-2
Yoshisuke Nakano, Chi Tien, William N. Gill, Nonlinear convective diffusion: A hyperfiltration application Aiche Journal. ,vol. 13, pp. 1092- 1098 ,(1967) , 10.1002/AIC.690130611
Grinnell Jones, Dorothy M. Bollinger, The Measurement of the Conductance of Electrolytes. VII. On Platinization1 Journal of the American Chemical Society. ,vol. 57, pp. 280- 284 ,(1935) , 10.1021/JA01305A016
Grinnell Jones, Schuyler M. Christian, The Measurement of the Conductance of Electrolytes. VI. Galvanic Polarization by Alternating Current Journal of the American Chemical Society. ,vol. 57, pp. 272- 280 ,(1935) , 10.1021/JA01305A015