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Development of Correlations for Mass Transfer Coefficient in Ultrafiltration Systems
Author(s) -
De S.,
Bhattacharjee S.,
Bhattacharya P. K.
Publication year - 1995
Publication title -
developments in chemical engineering and mineral processing
Language(s) - English
Resource type - Journals
eISSN - 1932-2143
pISSN - 0969-1855
DOI - 10.1002/apj.5500030307
Subject(s) - mass transfer , mass transfer coefficient , péclet number , ultrafiltration (renal) , dimensionless quantity , laminar flow , correlation coefficient , linear regression , turbulence , chemistry , thermodynamics , mathematics , mechanics , statistics , chromatography , physics
Correlations for the determination of the mass transfer coefficient in ultrafiltration systems are developed. This was done by the inclusion of a new dimensionless number relevant for ultrafiltrative systems; namely, the Peclet number based on the test cell experimental flux. The incorporation of this group altered the estimate of the mass transfer coefficient significantly. The development of the present correlations was done by regression analysis over the experimental data obtained in our laboratory as well as those reported in the literature for both laminar and turbulent regimes. Experimental estimates of mass transfer coefficients in a number of UF devices using various feed solutions were used to develop the correlations. Detailed statistical analyses were carried out to test the adequacy of the developed correlations and the model parameters. Correlations are also developed for an industrial effluent (black liquor) for different flow configurations and regimes. Values of mass transfer coefficients obtained from the developed correlations were also compared with those obtained from the standard correlations and velocity variation technique. Developed correlations should be useful for ultrafiltration system design.