doi: 10.17586/2226-1494-2017-17-1-151-158


NUMERICAL SIMULATION OF MASS TRANSFER IN CENTRIFUGAL EVAPORATOR

E. N. Kalinin, I. P. Gornakov


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For citation: Kalinin E.N., Gornakov I.P. Numerical simulation of mass transfer in centrifugal evaporator. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2017, vol. 17, no. 1, pp. 151–158. doi: 10.17586/2226-1494-2017-17-1-151-158

Abstract

Subject of Research. The paper deals with the problem of an adequate mathematical model of mass transfer process occurring during evaporation and concentration of spent process solution in a centrifugal evaporator with variable geometric parameters. The model provides a science-based forecast of the process parameters. Methods. Definition of the film flow parameters on a rotating conical surface of the centrifugal evaporator rotor is carried out on the basis of the solution of Navier-Stokes equations. Solution of the system of differential equations describing the mass transfer process in the studied dynamic system is performed by numerical methods. With this aim in view, we realized semi-implicit finite difference scheme for the SIMPLE pressure. Main Results. We have developed an algorithm and performed numerical solution of differential equations describing the mass transfer process occurring during concentration of the working solution in the centrifugal type evaporator. On the basis of the obtained numerical solution we have created a computer model of the given process. With the aid of the model we have defined basic hydrodynamic and operating parameters of the evaporator, as well as dependencies between them. Practical Relevance. Developed computer model of the mass transfer process enables to define the parameters of the solution moving along the conical surface of the centrifugal evaporator rotor: speed, pressure and the thickness of the flowing-down film. The results can be applied in real industrial process management and during personnel training.


Keywords: mass transfer, fluid dynamics, numerical simulation, evaporator, working solution concentration

References
1.     Manoylo E.V. The lows of mass transfer process in centrifugal vehicle. Eastern-European Journal of Enterprise Technologies, 2011, no. 9, pp. 8–12. (In Russian)
2.     Zinnatullin N.Kh., Bulatov A.A., Galimullin R.G., Khaibullina A.I. Heat and mass transfer in centrifugal liquid film. Herald of Kazan Technological University, 2013, no. 3, pp. 66–68. (In Russian)
3.     Boev S.V., Agapov Y.N., Stogney V.G.Experimental hydrodynamics research of the device for gas purification with centrifugal packed bed. The Bulletin of Voronezh State Technical University, 2009, no. 5, pp. 22–24. (In Russian)
4.     Sugak E.V., Sugak A.V. Simulation of swirling turbulent gas-dispersion flows. Modern Problems of Science and Education, 2013, no. 2, p. 177. (In Russian)
5.     Sugak E.V., Voinov N.A., Stepen' R.A., Zhitkova N.Yu. Purification of industrial gases from gaseous and particulate impurities. Khimija Rastitel’nogo Syr’ja, 1998, no. 3, pp. 21–34.
6.     Perepelov A.I. Apparatus for research of centrifugal condensation process. Izvestia VSTU, 2007, vol. 1, no. 3, pp. 83–85.
7.     Kalinin E.N., Korochkina E.E., Gornakov I.P., Golovanov E.A. Centrifugal Evaporator for Concentration of Liquid Solutions. Patent RU2509591, 2014.
8.     Nikolaev N.A. Biconical coordinate system and balance equation for the analysis of stress state seal in high-pressure devices. Ezhegodnik Instituta Fiziki Vysokikh Davlenii RAN, 1998, vol. 5, pp. 146–152. (In Russian)
9.     Matyka M. Solution to two–dimensional incompressible Navier-Stokes equations with SIMPLE, SIMPLER and vorticity-stream function approaches. Driven-lid cavity problem: solution and visualization. CFD Project Report №3. University of Linkoping,2004,13 p.
10.  Patankar S. Numerical Heat Transfer and Fluid Flow. NY, Hemisphere Publ., 1980.
11.  Gornakov I.P., Kalinin E.N. To the task of 3D-modeling of hydrodynamics concentration of liquid solution in the field centrifugal forces. Cherepovets State University Bulletin, 2015, no. 1, pp. 5–8. (In Russian)
12.  Kalinin E.N., Korochkina E.E., Gornakov I.P. Thermal and hydrodynamic models of the process of concentration of technological solution in the field of centrifugal forces influence. Izv. vuzov. Tekhnologiya Tekstil'noi Promyshlennosti, 2012, no. 6, pp. 151–155. (In Russian)
13.  Gornakov I.P., Kalinin E.N. 3D-modeling of hydrodynamics of the recycling process of waste liquid solution in the field of centrifugal forces. Sovremennye Iinstrumental'nye Sistemy, Informatsionnye Tekhnologii i Innovatsii: Sbornik Trudov XII Mezhdunarodnoi Konferentsii. Kursk, Russia, 2015, pp. 340–343. (In Russian)
14.  Kalinin E.N., Ershov S.V. Synthesis of cell model of mass transfer in the process of dehydration the fibrous material by distributed pressure. Izv. vuzov. Tekhnologiya Tekstil'noi Promyshlennosti, 2011, no. 6, pp. 118–121. (In Russian)
15.  Kalinin E.N., Ershov S.V. A computer model of transition states of the mass transfer process in a contact zone of rolls. Izv. vuzov. Tekhnologiya Tekstil'noi Promyshlennosti, 2012, no. 3, pp. 117–120. (In Russian)


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