Conclusions
A generalized filtration equation has been obtained, which permits one to carry out mathematical modeling of a broad class of filtration processes of spinning solutions of fibre-forming polymers; it has low values of the error in approximation.
On the basis of the results of mathematical modeling, a procedure has been worked out for evaluating the complex mechanism of the filtration process, using which it is possible to carry out a comparative analysis of the experimental data and to take into account (quantatively) the effect of technological conditions on the filtration process.
The extremeness of the behavior of the basic characteristics of filtration equipment as a function of change in filtration rate, which characterizes the operating regime of a filter, has been demonstrated.
The use of the magnitude of specific costs as an optimicity criterion in designing and rational construction of filtration schemes is soundly based.
Program provision has been devised for calculating and making an analysis of the characteristics of apparatus design in the stage of filtering spinning solutions of fibre-forming polymers using a computer for projected and operating man-made fibre manufacturing.
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Literature cited
Z. A. Rogovin, Bases of the Chemistry and Technology of Man-Made Fibres [in Russian], Khimiya, Moscow (1974).
V. V. Kafarov, Methods of Cybernetics in Chemistry and Chemical Engineering [in Russian], Khimiya, Moscow (1976).
L. V. Zhuravlev et al., Khim. Volokna, No. 3, 11–17 (1984).
E. G. Dubnikov et al., Construction of Mathematical Models of Chemical Engineering Objects [in Russian], Khimiya, Leningrad (1970).
E. Treiber, Lenzinger Ber., No. 29, 26–32 (1970).
V. A. Dmitriev, Candidate's Dissertation, VNIIVproekt, Moscow (1977).
Filtration of High-viscosity Spinning Solutions [in Russian], NIITÉKhIM, Moscow (1979).
A. B. Pakshver and A. M. Virezub, Khim. Volokna, No. 3, 33–38 (1978).
T. Abdullaev, Author's abstract of candidate's dissertation, TITLP, Tashkent (1983).
V. A. Zhuzhikov, Filtration (Theory and Practice of Separating Suspensions) [in Russian], Khimiya, Moscow (1971).
W. Meskat, Svensk Papperstidn., No. 7, 247–262 (1962).
A. S. Spasskii et al., in: Questions in the Development and Introduction of Automatic Equipment by Plants Producing Man-made Fibres (An Inter-College Collection) [in Russian], Ivanovo (1976), pp. 63–67.
V. A. Dmitriev et al., Khim. Volokna, No. 3, 39–40 (1976).
A. S. Spasski, Candidate's Dissertation, MIKhM, Moscow (1980).
A. S. Spasskii et al., Summaries of the Reports of the Fourth All-Union Scientific and Technical Conference, “Mathematical Methods in Chemical Engineering,” [in Russian], Erevan (1982), pp. 157–158.
V. S. Matveev and O. V. Oprits, Khim. Volokna, No. 5, 13–16 (1983).
A. S. Spasskii et al., Third International Symposium on Man-made Fibres. Kalinin, Preprints, Vol. 3, pp. 135–140.
O. V. Oprits et al., All-Union Scientific-and Technical Conference. “Development of Advanced Equipment”, Chernigove (1979), pp. 54–56.
A. S. Spasskii et al., All-Union Scientific and Technical Conference “Development of Advanced Equipment”, Chernigov (1982), Vol. 2, pp. 5–8.
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Translated from Khimicheskie Volokna, No. 2, pp. 24–27, March–April, 1985.
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Spasskii, A.S., Zhuravlev, L.V. & Rakovets, L.V. Mathematical modeling and calculation of the spinning solution filtration process in the manufacture of man-made fibres. Fibre Chem 17, 116–122 (1985). https://doi.org/10.1007/BF00543469
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DOI: https://doi.org/10.1007/BF00543469