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2018/3
Influence of external electric field on permeability of charged porous layer
Technical sciences

Authors: Anatoly N. FILIPPOV graduated from the M.V. Lomonosov Moscow State University in 1982. He is Doctor of Physical and Mathematical Sciences, Professor at the Department of Higher Mathematics of Gubkin Russian State University of Oil and Gas (National Research University). He is author of over 340 scientific papers in the field of physical-chemical mechanics, colloid chemistry and mathematics. E-mail: filippov.a@gubkin.ru
Tamara S. FILIPPOVA graduated from the M.V. Lomonosov Moscow State University in 1982. She is Lecturer at the Department of Higher Mathematics of Gubkin Russian State University of Oil and Gas (National Research University). She is author of around 25 publications in the field of mechanics and mathematics. E-mail: filippova.tam@yandex.ru
Vasily V. KALININ graduated from the M.V. Lomonosov Moscow State University in 1974. He is Doctor of Physico-Mathematical Sciences, Head of the Department of Higher Mathematics of Gubkin Russian State University of Oil and Gas (National Research University). He is author of more than 70 publications in the fields of physicochemical hydrodynamics, colloid chemistry and mathematics. E-mail: vm@gubkin.ru

Abstract: On the basis of the cellular model of porous medium and thermodynamics of irreversible processes (Onsager approach), a new method for calculating the flow of solvent (water) and electric current flowing through a charged porous layer (membrane) under simultaneous action of an external pressure gradient and electric potential is proposed. It is shown that the total permeability of the porous structure both due to filtration and due to the electroosmotic transfer of the solvent increases with the electrolyte concentration

Index UDK: 517.958:536.71; 532:541.135.1; 539.219.3; 544.6

Keywords: charged porous layer, ion exchange membrane, exchange capacity, cell model, Onsager approach, kinetic coefficients, stokes, Brinkman, Poisson and Nernst-Planck equations

Bibliography:
1. Happel J., Brenner H. Low Reynolds Number Hydrodynamics. Moscow, Mir, 1976, 630 p.
2. Filippov A.N. Cell model of ion-exchange membrane. Hydrodynamic permeability. Colloid Journal, 2018, vol. 80, no. 6.
3. Filippov A.N. Cell model of ion-exchange membrane. Electroconductivity and electroosmotic permeability. Colloid Journal, 2018, vol. 80, no. 6.
4. Brinkman H.C. A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles. Appl. Sci., 1947, p. 27–34.
5. Sidorova M.P., Ermakova L.E., Savina I.A., Fridrikhsberg D.A. Electrochemistry of weakly charged membranes. Journal of Membrane Science, 1993, vol. 79, p. 159–179.
6. Sobolev V.D., Filippov A.N., Vorob’eva T.A., Sergeeva I.P. Determination of the Surface Potential for Hollow-Fiber Membranes by the Streaming—Potential Method. Colloid Journal, 2017, vol. 79, no. 5, p. 677–684.
7. Tong K., Zhang Y., Chu P.K. Evaluation of calcium chloride for synergistic demulsification of super heavy oil wastewater. Colloids Surf. A., 2013, vol. 419, p. 46–52.
8. Dorokhov V.M., Martynov G.A., Starov V.M., Churayev N.V. Theory of the reverse osmotic separation of electrolyte solutions. Influence of the charge of the surface of membrane pores. [Colloid Journal], 1984, vol. 46, no. 6, p. 1088–1093.
9. Filippov A.N., Shkirskaya S. Cell model of ion-exchange membrane and its experimental verification. Processing of Institute Conference “Ion Transport in Organic and Inorganic Membranes”, (Sochi-Krasnodar, May 21–26), 2018, p. 89–91.

2018/1
Possibility of determinating membrane exchange capacity by dynamic method
Technical sciences

Authors: Tamara S. PHILIPPOVA graduated from the M.V. Lomonosov Moscow State University in 1982. She is Lecturer at the Department of Higher Mathematics at Gubkin Russian State University of Oil and Gas (National Research University). She is author of more than 20 publications in the field of mechanics and mathematics. E-mail: filippova.tam@yandex.ru
Vasily V. KALININ (b. 1952) graduated from the M.V. Lomonosov Moscow State University in 1974. He is Doctor of Physical-Mathematical Sciences, Head of the Department of Higher Mathematics at Gubkin Russian State University of Oil and Gas (National Research University). He is author of more than 70 publications in the fields of physicochemical hydrodynamics, colloid chemistry and mathematics. E-mail: vm@gubkin.ru
Anatoly N. FILIPPOV was born in 1960, graduated from the M.V. Lomonosov Moscow State University in 1982. He is Doctor of Physical and Mathematical Sciences, Professor at the Department of Higher Mathematics Gubkin Russian State University of Oil and Gas (National Research University). He is author of over 300 scientific papers in the field of physical-chemical mechanics, colloid chemistry and mathematics. E-mail: filippov.a@gubkin.ru

Abstract: A new dynamic method for the experimental determination of the exchange capacity of an ion-exchange membrane is proposed. The method is based on solving the non-stationary system of Nernst-Planck equations by the method of integral relations (moments)

Index UDK: 517.958:536.71;532:541.135.1;539.219.3;544.6

Keywords: on exchange membrane, exchange capacity, method of integral moments, Nernst-Plank equation

Bibliography:
1. Zharkikh N.I. Theory of non-equilibrium electro-surface phenomena in concentrated weakly charged dispersions and membranes. Diss. kand. khim. nauk. Kiev, 1982, 129 p. (in Russian).
2. Martynov G.A., Starov V.M., Churayev N.V. Theory of membrane separation of solutions. Formulation of the problem and a solution to transfer equations. Kolloidnyi Zhurnal [Colloid Journal], 1980, vol. 42, no. 3, p. 489-499.
3. Theory of the reverse osmotic separation of electrolyte solutions. Influence of the charge of the surface of membrane pores/Dorokhov V.M., Martynov G.A., Starov V.M., Churayev N.V. Kolloidnyi Zhurnal [Colloid Journal], 1984, vol. 46, no. 6, p. 1088–1093.
4. Filippov А., Afonin D., Kononenko N., L’vov Yu., Vinokurov V. New approach to characterization of hybrid nanocomposites. Colloids and Surfaces A — Physicochemical and Engineering Aspects, 2017, vol. 521, p. 251-259.
5. Sidorova M.P., Ermakova L.E., Savina I.A., Fridrikhsberg D.A. Colloidal-chemical parameters of weakly charged membranes. Khimiya i Tekhnologiya Vody [ Water Chemistry and Technology ], 1991, vol. 13, no. 4, p. 291-301.
6. Sidorova M.P., Ermakova L.E., Savina I.A. Fridrikhsberg D.A. Electrochemistry of weakly charged membranes. Journal of Membrane Science, 1993, vol. 79, issue 2-3, p. 159-179.
7. GOST 17552-72. Membrany ionoobmennye. Metody opredeleniya polnoi i ravnovesnoi obmennoi emkosti (s Izmeneniem № 1). http://docs.cntd.ru/document/1200018368
8. Filippov A.N., Safronova E.Yu., Yaroslavtsev A.B. Theoretical and experimental investigation of diffusion permeability of hybrid MF—4SC membranes with silica nanoparticles. Journal of Membrane Science, 2014, vol. 471, p. 110-117.
9. Filippov A.N., Safronova E.Yu., Yaroslavtsev A.B. Theoretical and experimental investigation of diffusion permeability of hybrid MF—4SC membranes with silica nanoparticles. Journal of Membrane Science, 2014, vol. 471, p. 110-117.
10. Filippov A., Kononenko N., Afonin D., Vinokurov V. Synthesis and Prediction of Transport Properties of Hybrid Bi-layer Ion-Exchange Membranes. Surface Innovations, 2017, vol. 5, no. 3, p. 130-137.

2016/1
Applying scanning probe microscopy to study morphology of solid surfaces
Technical sciences

Authors: Daria Yu. KHANUKAEVA graduated from Moscow Institute of Physics and Technology in 1999, she is Candidate of Physico-Mathematical Sciences, Associate Professor of the Department of Higher Mathematics. She is author of more than 30 publications in the field of mechanics and mathematics. E-mail khanuk@yandex.ru
Anatoly N. FILIPPOV (b. 1960) graduated from Lomonosov Moscow State University in 1982. He is Doctor of Physico-Mathematical Sciences, рrofessor of the Department of Higher Mathematics. He is author of more than 300 publications and 3 monographs in the fields of physicochemical mechanics, colloid chemistry and mathematics. E-mail filippov.a@gubkin.ru
Vladimir I. IVANOV (b. 1961) graduated from Lomonosov Moscow State University in 1983. Нe is Candidate of Physico-Mathematical Sciences, аssociate Professor of the Department of Higher Mathematics. He is author of more than 10 publications in the fields of physicochemical, hydrodynamics, colloid chemistry and mathematics. E-mail vladimir.i-ivanov@yandex.ru
Vasily V. KALININ (b. 1952) graduated from Lomonosov Moscow State University in 1974. He is Doctor of Physico-Mathematical Sciences. Head of the Department of Higher Mathematics. He is author of more than 70 publications in the fields of physicochemical hydrodynamics, colloid chemistry and mathematics. E-mail vm@gubkin.ru

Abstract: Five different examples of the use of scanning probe microscopy to study the morphology of solid rough surfaces were studied. These demonstrated the potential of a variety of AFM techniques. All these measurements were carried out on areas of micron-scale of the parts and pieces of research objects, which are geological materials, metal samples and polymer membranes with sizes down to a few nanometers. These results are related to the micro- and nanostructures of the materials studied and allow gathering information about their properties in these scales, thus opening up opportunities for the development of new models and technologies.

Index UDK: УДК 532.546.2

Keywords: atomic force microscopy, surface morphology, roughness, porous structure, minerals, polymeric membranes.

Bibliography:
1. Khanukaeva D.Yu., Filippov A.N., Bildyukevich A.V. An AFM Study of Ultrafiltration Membranes: Peculiarities of Pore Size Distribution. Petroleum Chemistry, 2014, vol. 54, no. 7, p. 498–506.
2. Jesse S., Kalinin S.V. Band excitation in scanning probe microscopy: signs of change. J. Phys. D: Appl. Phys., 2011, vol. 44, p. 464006–464022.
3. Khanukaeva D.Yu., Kalinin S.V., Filippov A.N., Ievlev A.V., Buzilov A.S. Scanning probe microscopy of minerals microstructure. Metodologicheskie aspecty scaniruyushchei zondovoi microscopii — BelSZM XI [Proc. XI Int. Conf. „Methodological Aspects of Scanning Probe Microscopy”]. Minsk, 2014, p. 178-183 (in Russian).
4. Chen C.-Y., Garnica-Rodrigues J.I., Duke M.C., Dalla Costa R.F., Dicks A.L., Diniz da Costa J.D. Nafion/polyanilin/silica composite membranes for direct methanol fuel cell application. J. of Power Sources, 2007, vol. 166, p. 324-330.
5. Kolechko M.V., Filippov A.N., Shkirskaya S.A., Timofeev S.V., Berezina N.P. Synthesis and Diffusion Permeability of MF-4SK/Polyaniline Composite Membranes with Controlled Thickness of the Modified Layer. Colloid Journal, 2013, vol. 75, no. 3, p. 289-296.
6. Kalinin V.V., Filippov A.N., Khanukaeva D.Yu. Investigation of Membrane Morphology by Atomic Force Microscopy Under Mathematical Modeling of Diffusive Processes. Trudy RGU nefti i gaza imeni I.M. Gubkina [Proceedings of Gubkin Russian State University of Oil and Gas], 2012, no. 1 (266), p. 129-136 (in Russian).
7. Filippov A., Afonin D., Kononenko N., Shkirskaya S. Characterization of Perfluorinated Cation-Exchange Membranes MF-4SC Surface Modified with Halloysite Nanotubes. AIP Conf. Proc. AMiTaNS’15″, 2015, vol. 1684, p. 030004-1-030004-9.
8. Filippov Anatoly, Khanukaeva Daria, Afonin Denis, Skorikova Galina, Ivanov Evgeny, Vinokurov Vladimir and Lvov Yuri. Diffusive Permeability of Hybrid Cation-Exchange Membranes MF-4SC/Halloysite Nanotubes. Proc. of IEEE, 15th International Conference on Nanotechnology (IEEE-NANO) (Rome, Italy, 27-30 July 2015), 2015 IEEE, p. 208-211.
9. Khanukaeva D.Yu., Filippov A.N. Statistical Processing of Ultrafiltration Membrane Pore Size Distribution Determined by Atomic Force Microscopy. Petroleum Chemistry, 2015, vol. 55, no. 10, p. 909-917.
10. Gwyddion, http://gwyddion.net/

2012/3
Viscous flow in a cylindrical channel with surface coated with porous layer
Drilling and development of hydrocarbon fields

Authors: Anatoly N. FILIPPOV was born in 1960. Graduated from the M.V. Lomonosov Moscow State University. University in 1982. He is Doctor of Physical and Mathematical Sciences, Professor of the Department of Higher and Applied Mathematics of Gubkin Russian State University of Oil and Gas. He is author of over 200 scientific papers in the field of physical and chemical mechanics and colloid chemistry. E-mail: filippov.a@gubkin.ru
Daria Y. HANUKAEVA graduated from Moscow Institute of Physics and Technology in 1999. She is Ph.D. in Physics and Mathematics, Associate Professor of the Department of Higher Mathematics at Gubkin Russian State University of Oil and Gas. She is author of more than 20 publications in the field of mechanics and mathematics. E-mail: khanuk@yandex.ru
Vasily V. KALININ was born in 1952. Graduated from the M.V. Lomonosov Moscow State University in 1974. He is Doctor of Physical and Mathematical Sciences, Professor of the Department of Mathematics at Gubkin Russian State University of Oil and Gas. He is author of more than 60 scientific papers in the field of mechanics and mathematics. E-mail: vm@gubkin.ru

Abstract: The flow of viscous incompressible fluid in a long cylindrical pore, with the inner surface covered with a permeable porous layer is considered in two mathematical models. The first of these uses the Brinkman equation for the porous layer and the second replaces the porous layer with Navier-slip condition on the wall of the pore. The feasibility and validity of the proposed models to calculate the displacement of oil from porous media are discussed

Index UDK: 532.546.2

Keywords: porous layer, viscous liquid, Brinkman equation, length of slip, model descripttion

Bibliography:
1. Lamb H. Hydrodynamics. New York: Dover, 1932. – 604 р.
2. Hunter R.J. Foundations of Colloid Science. Oxford: Oxford University Press, 1993. – 276 р.
3. Churaev N.V., Sobolev V.D., Somov A.N. Slippage of liquids over lyophobic solid surfaces// J. Colloid Interface Sci. – 1984. – Vol. 97(2). – P. 574–581.
4. Kiseleva O.A., Sobolev V.D., Churaev N.V. Slippage of the Aqueous Solutions of Cetyltri-methylammonium Bromide during Flow in Thin Quartz Capillaries//Colloid J. – 1999. – Vol. 61. – № 2. – Р. 281–288.
5. Vinogradova O.I., Yakubov G.E. Surface roughness and hydrodynamic boundary conditions// Phys. Rev. E. – 2006. – Vol. 73. – P. 045302.
6. Techenie rastvorov v tonkih kapilljarah, pokrytyh adsorbcionnym sloem polijelektrolita/ O.A. Kiseleva, V.D. Sobolev, D.A. Semenov, A.P. Ershov, I.P. Sergeeva, N.V. Churaev//Kolloid. zhurn. – 2009. – Vol. 71. – P. 72–77.
7. Techenie zhidkosti vnutri cilindricheskogo kapilljara, stenki kotorogo pokryty poristym sloem (gelem)/A.N. Filippov, D.Ju. Hanukaeva, S.I. Vasin, V.D. Sobolev, V.M. Starov//Kolloid. zhurn. – 2012. (otpravleno v pechat').
8. Starov V.M., Zhdanov V.G. Effective properties of suspensions/emulsions, porous and composite materials//Advances Colloid and Interface Sci. – 2008. – Vol. 137. – P. 2–19.
9. Navier C.L.M.H. Mémoire sur les lois du mouvement des fluides//Mémoires de l’Académie Royale des Sciences de l’Institut de France. – 1827. – Vol. 6. – P. 389–416.
10. Мatthews M.T., Hill J.M. Flow around nanospheres and nanocylinders//Quart. J. Mech. & Appl. Math. – 2006. – Vol. 59. – P. 191–210.

2012/1
Study of membranes morphology by atomic force microscopy with mathematical models of diffusion processes
Automation, modeling and energy supply in oil and gas sector

Authors: Basil V. KALININ was born in 1952, graduated from Lomonosov Moscow State University in 1974, Doctor of Physical and Mathematical Sciences, professor of the Department of Higher Mathematics. He has published over 60 papers in the field of mechanics and mathematics. E-mail: vm@gubkin.ru
Anatoly N. FILIPPOV was born in 1960, graduated from Lomonosov Moscow State University in 1982, Doctor of Physical and Mathematical Sciences, professor of the Department of Higher and Applied Mathematics. He has published over 200 scientific papers in the field of physicochemical mechanics and colloid chemistry. E-mail: filippov.a@gubkin.ru
Daria Yu. HANUKAYEVA graduated from MIPT in the 1999. She is of Candidate Physical and Mathematical Sciences, associate professor of the Department of Higher Mathematics. She has published over 20 scientific papers in the field of mechanics and mathematics. E-mail: khanuk@yandex.ru

Abstract: Lon-exchange membranes, subjected to modification by polyaniline in a new way, were investigated with an atomic force microscope. The obtained images of the surfaces confirm the change in their morphology resulting from the modification. Experimental data on the diffusion constant of the modified membranes were processed in the framework of a charged bilayer membrane, and the absence of asymmetry of diffusion permeability of the modified membrane in the experiment observed is explained.

Index UDK: 539.219.3

Keywords: atomic force microscopy, modified ion-exchange membrane, polyaniline, morphology, diffusion permeability, model description

Bibliography:

2010/1
Computational models of flows in oil and gas gathering systems
Automation, modeling and energy supply in oil and gas sector

Authors: Natalya A. ANISIMOVA graduated from Gubkin Russian State University of Oil and Gas in 1992. senior lecturer of the Dept. of Higher Mathematics of Gubkin Russian State University of Oil and Gas.
Vasiliy V. KALININ graduated from Lomonosov Moscow State University in 1974. Doctor of Physical and Mathematical Sciences, Head of the Dept. of Higher Mathematics of Gubkin Russian State University of Oil and Gas. Author of over 60 publications (including two monographs) and two inventions.

Abstract: Peculiarities of flow of a 3-component gas-fluid mixture (oil-gas-water) in oil and gas gathering systems are considered. These are caused by inversion of the emulsion type (oil in water or water in oil). Problems of hydraulic modeling and identification of relevant model parameters, determining the distribution and structure of flows in them are discussed. The proposed algorithms are mainly oriented to calculate oil and gas gathering systems of offshore oil and gas fields.

Index UDK: 517.954:66.073

Keywords: oil and gas gathering systems, hydraulic modeling, multi-component mixtures

Bibliography: