Analytical studies of mechanical displacements in baromembrane apparatus elements

DOI: 10.34759/trd-2021-117-02

Аuthors

Lazarev S. I.^*, Lomakina O. V.^**, Khorokhorina I. V.^***, Kochetov V. I.^****

Tambov State Technical University, 106, Sovetskaya, Tambov, 392000, Russia

*e-mail: sergey.lazarev.1962@mail.ru
**e-mail: lomakinaolga@mail.ru
***e-mail: kotelnikovirina@yandex.ru
****e-mail: geometry@mail.nnn.tstu.ru

Abstract

Baromembrane devices of the flat-chamber type are applied for separation, concentration and purification of solutions by reverse osmosis, nanofiltration, ultrafiltration and microfiltration processes. Operating under excessive pressure, they possess the following characteristics: ease of assembly and installation, a sufficiently high specific separation area, reliable operation, and a small pressure drop. The difficulty in operation of such devices, for example, for reverse osmosis, lies in the large values of working transmembrane pressure. To solve this problem, the authors proposed to employ end flanges, characterized by increased rigidity and strength. The purpose of this work is to study the stress-strain state of the structures of the end flanges of the flat-chamber type baromembrane apparatus operating under high transmembrane pressure.

The flanges with shape of rectangular plates, are made of “caprolon” (dielectric material). There are holes on the cover for bolts, necessary for tightening the intermediate working chambers to seal them. To increase the strength characteristics, a metal plate in its structure, which is superimposed on the flanges is provided.

During this device operation, its individual working surfaces are being exposed to highly concentrated solutions. In the authors’ opinion, optimal dimensions selection, namely of flanges in this particular case, based on the strength and rigidity conditions is an urgent task. To study the stress-strain state of the flange, we use both analytical and numerical methods. Accounting for the strength parameters and stiffness, several options of the design scheme were considered to select the flange optimal dimensions:

– A flange without a plate and bolts;

– A flange with a plate but without bolts;

– A flange without both a plate and bolts;

– A flange with a plate and bolts.

Computations were performed using the SOLIDWORKS Finite Element Method (FEM) software.

Analyzing the data the displacements and stresses values computing, a good comparability of the results was noted. The conducted studies of the flange of the flat-chamber type baromembrane apparatus, in terms of strength and stiffness allowed determining the design scheme reflecting the design of the real device. A comparison of the techniques for the flange calculating revealed the correctness of the design scheme selection and the method for calculating the end flange of the baromembrane device.

Keywords:

apparatus, flange, design scheme, voltage, displacement, membrane

References

1. Shishkin S.V., Boikov A.A., Kolpakov A.M. Trudy MAI, 2019, no. 109. URL: http://trudymai.ru/eng/published.php?ID=111374. DOI: 10.34759/trd-2019-109-9

2. Yudin D.A., Firsanov V.V. Trudy MAI, 2020, no. 112. URL: http://trudymai.ru/eng/published.php?ID=116343. DOI: 10.34759/trd-2020-112-83

3. Firsanov V.V., Fam V.T., Chan N.D. Trudy MAI, 2020, no. 114. URL: http://trudymai.ru/eng/published.php?ID=118698. DOI: 10.34759/trd-2020-114-07

4. Nigyar E.S. Trudy MAI, 2020, no. 111. URL: http://trudymai.ru/eng/published.php?ID=115111. DOI: 10.34759/trd-2020-111-2

5. Drazevic E., Kosutic K., Freger V. Permeability and selectivity of reverse osmosis membranes: sorrelation to swelling revisited, Water Research, 2014, vol. 49, pp. 444 - 452.

6. Wu S., Qin X., Li M. The structure and properties of cellulose acetate materials: a comparative study on electrospun membranes and casted films, Journal of Industrial Textiles, 2014, vol. 44, no. 1, pp. 85 - 98. DOI: 10.1177/1528083713477443

7. Potekhina L.N., Sedelkin V.M. Vestnik Saratovskogo gosudarstvennogo tekhnicheskogo universiteta, 2011, vol. 1, no. 1 (52), pp. 110 - 116.

8. Gupta S.K., Singh P., Kumar R. Modifications induced by gamma irradiation upon structural, optical and chemical properties of polyamide nylon-6,6 polymer, Radiation effects and defects in solids, 2014, vol. 169, no. 8, pp. 679 - 685.

9. Ruslantsev A.N., Dumanskii A.M., Alimov M.A. Trudy MAI, 2017, no. 96. URL: http://trudymai.ru/eng/published.php?ID=85659

10. Gnezdilov V.A., Grishanina T.V., Nagornov A.Yu. Trudy MAI, 2017, no. 95. URL: http://trudymai.ru/eng/published.php?ID=84435

11. Anosov Yu.V., Danilin A.N., Kurdyumov N.N. Trudy MAI, 2015, no. 80. URL: http://trudymai.ru/eng/published.php?ID=56958

12. Dytnerskii Yu.I. Baromembrannye protsessy. Teoriya i raschet (Baromembrane processes. Theory and design), Moscow, Khimiya, 1986, 272 p.

13. Timoshenko S.P., Voinovskii-Kriger S. Plastinki i obolochki (Plates and shells), Moscow, Nauka, 1966, 636 p.

14. Shestakov K.V., Lazarev S.I. Мethod focalculating rational process parameters for electromembrane purification of industrial solutions and waste water in the chemical industry, Chemical and Petroleum Engineering, 2019, vol. 55, pp. 63 – 67. DOI:10.1007/s10556-019-00582-0

15. Lazarev S.I., Abonosimov O.A., Levin A.A., Ignatov N.N., Kotenev S.I. A Mathematical description of mass transfer and a technique of calculating the local mass-transfer coefficients in the inter-membrane channel of baromembrane roll elements, Chemical and Petroleum Engineering, 2019, vol. 54, no. 1, pp. 16 - 18. URL: DOI: 10.1007/s10556-019-00528-6

16. Lazarev S.I., Kovaleva O.A., Bogomolov V.Yu., Shestakov K.V., Kuznetsov M.A. // Khimicheskoe i neftegazovoe mashinostroenie, 2017, no. 6, pp. 9 - 12. URL: http://www.himnef.ru/arhiv/2017_06.pdf

17. Lazarev S.I., Khorokhorina I.V., Kazakov V.G., Bogomolov V.Yu. Khimicheskoe i neftegazovoe mashinostroenie, 2018, no. 1, pp. 12 - 14. URL: http://www.himnef.ru/arhiv/2018_01.pdf

18. Solov'ev A.N. Tamarkin M.A., Tkho N.V. Vestnik Donskogo gosudarstvennogo tekhnicheskogo universiteta, 2019, vol. 19, no. 3, pp. 214 - 220. DOI: 10.23947/1992-5980-2019-19-2-214-220

19. Myachenkov V.I., Mal'tsev V.P. Raschety mashinostroitel'nykh konstruktsii metodom konechnykh elementov (Calculations of machine-building structures by finite element method), Moscow, Mashinostroenie, 1989, 520 p.

20. Reissner E. The Effect of Transverse Shear Deformation on the Bending of Elastic Plates, ASME Journal of Applied Mechanics, 1945, vol. 12, pp. 8 – 77.

21. Zienkiewicz O.S., Taylor R.L. The Finite Element Method. Vol.2. Solid Mechanics, Butterworth-Heinemann, 2000, 479 p.

Download