Chemical and Petroleum Engineering, Vol. 54, Nos. 1–2, May, 2018 (Russian Original Nos. 1–2, Jan.–Feb., 2018)
0009-2355/18/0102-0016 ©2018 Springer Science+Business Media, LLC
Translated from Khimicheskoe i Neftegazovoe Mashinostroenie, No. 1, pp. 12–14, January, 2018.
INVESTIGATION AND TECHNIQUE OF CALCULATING
THE EFFECTIVE OPERATION LIFE OF SEMIPERMEABLE
MEMBRANES IN ULTRAFILTRATION PURIFICATION
OF INDUSTRIAL SOLUTIONS
S. I. Lazarev,
I. V. Khorokhorina,
V. G. Kazakov,
and V. Yu. Bogomolov
The design of a newly developed membrane device and technique of calculating the effective operation life
of semipermeable ultraﬁ ltration membranes by means of which the length of the period of effective
realization of the process of puriﬁ cation, concentration and demineralization of industrial solutions may be
determined is presented. In the newly developed technique, the estimated length of the effective life of
ultraﬁ ltration membranes under different conditions of the industrial puriﬁ cation process, which varies
from 96 to 125 hours, is determined. Computed average calculated values of the diffusion coefﬁ cients in
ultraﬁ ltration membranes and the maximum contact stresses are presented.
Keywords: ultraﬁ ltration membrane, technique, solution, length of effective operation.
There exist several techniques of calculating the strength of different elements of membrane devices [1–8], though
the membrane itself experiences the maximum effect of the physically active media. Swelling of the material of the membrane
occurs under the effect of the separation medium, moreover, the strength characteristics of the membrane vary signiﬁ cantly.
The ultraﬁ ltration device  is represented schematically in Fig. 1. Intermediate ﬂ anges of the case 2, an ultraﬁ ltra-
tion membrane 8 (placed on a metallic substrate grid 9), spacer 3, and spacer 6 with opening for the channel 5 in which the
solution circulates are squeezed between the two ﬂ anges of cases 1 and 14. A separation chamber 7 containing the solution
which is to be separated and which is fed through the circulation channel 11 is created between the ﬂ anges. Discharge of the
transport agent is realized through the lateral channel 10 and discharge of retentate through the connecting pipe 12. The ﬂ ang-
es of the case are tightened by the bolts 13. A metallic plate 4 is supplied to strengthen the construction. In the process of
puriﬁ cation of the industrial solutions, the effect of the transmembrane pressure p on the membrane causes the membrane to
sag in the compartment of the grid substrate (which simultaneously functions as a drain for discharge of the transport agent).
Contact of the membrane with the nodes of the grid substrate induces a destructive effect on the surface of the membrane.
One of the most important factors in the use of membrane (ultraﬁ ltration) devices is the service life of the mem-
brane until its physical destruction [4, 6]. To determine the service life of the membrane under swelling conditions, the
membrane is represented in the design model (Fig. 2) as a plane polymer plate attached along its perimeter and placed on a
metallic wire grid substrate, the nodes of which act on its surface in the course of bending under the effect of the transmem-
brane pressure p.
Tambov State Technical University, Tambov, Russia; e-mail: firstname.lastname@example.org.
TMB-Technology, Tambov, Russia; e-mail: email@example.com.