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Ecological Systems and Devices

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MODELING ULTRAFILTRATION PROCESS ON THE BASIS OF DIFFERENTIAL MATERIAL BALANCE EQUATIONS
A.B. Golovanchikov, N.O. Sivolobova, P.E. Kovorova, Vu Thi Huyen

The physical and mathematical models ultrafiltration process based on differential equations of retant, permeate (filtrate) material balance and concentration of solved substances were studied. Equations for profiles of concentration solved substances in permeate and retant into the membrane along the length were received. Example of calculation to yield performance and permeate retant, concentrations of these molecules in the solute, and the length of the membrane surface is shown. The ability to permeate the selection of high frequency input in a partitioning submembrane volume movements permeate zone were revealed. For example, when the length of the membrane of 10 % of the total length, the concentration of dissolved molecules in the permeate is 25 times smaller than the fi nal concentration in the permeate at the outlet of the entire device, and a 25 % fraction of the length of this concentration is less than 10 times. Permeate fl ow increases in proportion to the length coordinate, and retant similarly decreases linearly.
Keywords: ultrafi ltration; material balance; differential equation; degree of concentration; retant; permeate.

Contacts: E-mail: pahp@vstu.ru, E-mail: kovorova08@mail.ru

Pp. 24-28.

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