Numerical Investigation of Fluid Flow between Rotating Permeable Cylindrical Surfaces

The paper presents numerical simulation results concerning fluid flow in the annular channel of a hydrodynamic filter comprising a perforated protective screen located between another perforated protective screen and a filtering screen, both cylindrical. We investigated the effects of the following two parameters on the flow structure: the perforated area of the protective screen and the width of the annular channel between the protective and filtering cylindrical screens. We established that increasing the annular channel width and the perforation area of the protective screen leads to secondary vortex structures forming in the channel. We obtained circumferential velocity distribution in the channel formed by the protective and filtering screens of the hydrodynamic filter. We show that, in the bracket of modal and design parameters under consideration, a power curve with an exponent in the 2.4--3.3 range may be used to approximate the circumferential velocity profile. We discovered that the structural and modal parameters of the channel between the rotating permeable cylindrical surfaces control the intensity of the deterministic separation process components. Channel width and perforation area are structural parameters; angular velocity is a modal parameter. Arranging the flow in a hydrodynamic filter in the way proposed makes it possible to decrease the intensity of random separation process components in multi-phase media

The study was supported by the Ministry of Education and Science of the Russian Federation as part of a government order (no. 10.7766.2017/8.9)

References

[1] Tarleton E.S. Progress in filtration and separation. Academic Press, 2014.

[2] Mochalin E.V., Khalatov A.A. Problems of industrial cleaning of liquids from mechanical impurities and the use of rotary filters. Promyshlennaya teplotekhnika [Industrial Heat Engineering, 2009, vol. 31, no. 2, pp. 19--30 (in Russ.).

[3] Holdich R.G., Cumming I.W., Smith I.D. Crossflow microfiltration of oil in water dispersions using surface filtration with imposed fluid rotation. J. Memb. Sci., 1998, vol. 143, iss. 1-2, pp. 263--274. DOI: https://doi.org/10.1016/S0376-7388(98)00023-4

[4] Akagi T., Horie T., Masuda H., et al. Improvement of separation performance by fluid motion in the membrane module with a helical baffle. Sep. Purif. Technol., 2018, vol. 198, pp. 52--59.DOI: https://doi.org/10.1016/j.seppur.2017.07.012

[5] Jaffrin M.Y. Hydrodynamic techniques to enhance membrane filtration. Annu. Rev. Fluid Mech., 2012, vol. 44, pp. 77--96. DOI: https://doi.org/10.1146/annurev-fluid-120710-101112

[6] Ahmari H., Heris S.Z. Numerical analysis of mass and momentum transfer in co-axial cylinders with rotating inner cylinder. Bulg. Chem. Commun., 2015, vol. 47, no. 2, pp. 491--496.

[7] El Rayess Y., Manon Y., Jitariouk N., et al. Wine clarification with Rotating and Vibrating Filtration (RVF): investigation of the impact of membrane material, wine composition and operating conditions. J. Memb. Sci., 2016, vol. 513, pp. 47--57. DOI: https://doi.org/10.1016/j.memsci.2016.03.058

[8] Aleksandrov A.A., Devisilov V.A., Sharai E.Yu., et al. Effect of geometric parameters of working channel of hydrodynamic filter with protective baffle on medium flow structure. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2018, no. 2 (77), pp. 23--38 (in Russ.). DOI: https://doi.org/10.18698/1812-3368-2018-2-23-38

[9] Devisilov V.A., Sharay E.Yu. Hydrodynamic filtration. Safety in Technosphere, 2015, vol. 4, iss. 3, pp. 68--80 (in Russ.). DOI: https://doi.org/10.12737/11885

[10] Krokhina A.V., Lvov V.A., Pavlikhin G.P., et al. Research of asymptotic properties related to model of hydrodynamic stage of classification process evolution in cyclonic type devices. Safety in Technosphere, 2013, vol. 2, iss. 4, pp. 36--42 (in Russ.). DOI: https://doi.org/10.12737/719

[11] Karamzin V.V., Toropov O.A. Theoretical analysis of hydrocyclones technological possibilities of hydroseparators. Gornyy informatsionno-analiticheskiy byulleten’ [Mining Informational and Analytical Bulletin], 2009, no. S15, pp. 215--228 (in Russ.).

[12] Ternovskiy I.G., Kutepov A.M. Gidrotsiklonirovanie [Hydrocyclone]. Moscow, Nauka Publ., 1994.

[13] Kolesov V.V., Romanov M.N. Calculation of the stationary, periodic, and quasi-periodic viscous fluid flows between two rotating permeable cylinders. Fluid Dyn., 2010, vol. 45, iss. 6, pp. 880--888. DOI: https://doi.org/10.1134/S0015462810060050

[14] Xie X., Le Men C., Dietrich N., et al. Local hydrodynamic investigation by PIV and CFD within a dynamic filtration unit under laminar flow. Sep. Purif. Technol., 2018, vol. 198, pp. 38--51. DOI: https://doi.org/10.1016/j.seppur.2017.04.009

[15] Brazhenko V.M. Theoretical research of the efficiency of a fluid mechanical cleaning by a rotary filter. Wschodnioeuropejskie Czasopismo Naukowe, 2017, no. 12-2, pp. 17--22.