Preview

Proceedings of the Voronezh State University of Engineering Technologies

Advanced search

Mathematical model of the agglomeration of solid disperse phase in the cyclone with a liquid-drip irrigation

https://doi.org/10.20914/2310-1202-2016-4-49-55

Abstract

The paper concerns a process for producing an agglomerated structure powder by spray drying of liquid food and chemical environments. The development of this direction is the method based on collision in the cyclone chamber dispersible liquid pa rticles and previously dried up particles of swirling stream, returned from the separation system of finely fraction from spent heat medium. Thus, the solid particles collide with droplets of liquid wetting at the same time, due to this with further dry the particles collision with the moistened portion of another dry particles the spatial structure is formed. Repeating of this process leads to enlargement of particles and to the obtaining of their agglomerates or granules. To build an adequate model of the process of agglomera tion the use of the fundamental momentum and mass transfer equations is difficult, therefore, to build the model, it was decided to apply the principle of kinetic transformations in chemical reactions. To registrate the application of thin liquid films on the particle and the formation of agglomerates use the kinetic coefficients is proposed, and upon application of hydrodynamics of ideal displacement the task is written in the form of Cauchy. The solution to this task is done with numerical Euler method for end-difference scheme. Qualitative analysis of the calculation results shows that effective modes of agglomeration are possible if the kinetic coefficient and the agglomerates formation is higher than the kinetic coefficient of film formation on the particles, and the concentration of particles of solid fractions should be higher than the concentration of the liquid fraction particles, which in the conditions of standard spray dryers with return highly dispersed fr action can not be implemented without the development of special agglomeration units for drying plants.

About the Authors

I. A. Saranov
Voronezh state university of engineering technologies
Russian Federation

graduate student, bakery technology, confectionery, pasta and grain processing industries department,

Revolution Av., 19 Voronezh, 394036



G. O. Magomedov
Voronezh state university of engineering technologies
Russian Federation

doctor of technical science, professor, bakery technology, confectionery, pasta and grain processing industries department, 

Revolution Av., 19 Voronezh, 394036



V. I. Ryazhskikh
Voronezh state technical university
Russian Federation

doctor of technical sciences, professor, head of department, department of applied mathematics and mechanics,

Moscow Av., 14,Voronezh, 394026



S. V. Shahov
Voronezh state university of engineering technologies
Russian Federation

doctor of technical science, professor, machinery and equipment for food production department, 

Revolution Av., 19,Voronezh, 394036



References

1. 1 Vestergaard V. Technology of production of dried milk. Evaporation and spray drying. Copenhagen, Niro A/S, 304 p.

2. 2 Sommerfeld M., Stbing S. Lagrangian modelling of agglomeration for applications to spray drying. International ERCOFTAC Symposium on Engineering Turbulence Modeling and Measurements (ETMM 9), Thessaloniki, Greece. 2012.

3. 3 Tsvetkov F. F., Grigoriev B. A. Teplomassoobmen [Heat-mass exchange] Moscow,

4. MPEI, 2011. 562 p. (in Russian)

5. 4 Volkov K., Emelyanov V. Vychislitel’nye tekhnologii v zdachakh mekhaniki

6. zhidkosti I gaza [Computational technologies in problems of mechanics of liquid and gas] Moscow, Fizmatlit, 2016. (in Russian)

7. 5 Magomedov G. O., Magomedov M. G., Shakhov S. V., Saranov I. A. et al. Ustanovka dlya sushki I aglomeratsii pishchevykh sred [Installation for drying and agglomeration in food environments] Patent RF, no. 2570536, 2015. (in Russian)

8. 6 Pawar S.K. Multiphase flow in a spray dryer: experimental and computational study. Eindhoven, Technische Universiteit Eindhoven, 2014.

9. 7 Vinokurov V. M. Matematicheskoe modelirovanie khimiko-tekhnologicheskikh protsessov [Mathematical modeling of chemical processes guidelines for laboratory works on discipline "Modeling of chemical-technological processes" for students of direction 240100 "Chemical technology"] Barnaul, AltGTU, 2013. (in Russian)

10. 8 Demidovich B. P., Maron I. A., Shuvalova E. Z. Chislennye metody Analiza. Priblizhenie funktsii, differentsial’nye I integral’nye uravneniya [Numerical methods of analysis. Approximation of functions, differential and integral equations]Ripol Klassik, 2013. (in Russian)

11. 9 Karasev A. K., Zhinov A. A., Shevelev D. V. Condensation of steam jet in a turbulent zone of mixing heat exchanger, Aktual’nye problem gumanitarnykh I estestvennykh nauk[Actual problems of humanitarian and natural sciences] 2016, no. 2-2, pp. 40-46. (in Russian).


Review

For citations:


Saranov I.A., Magomedov G.O., Ryazhskikh V.I., Shahov S.V. Mathematical model of the agglomeration of solid disperse phase in the cyclone with a liquid-drip irrigation. Proceedings of the Voronezh State University of Engineering Technologies. 2016;(4):49-55. (In Russ.) https://doi.org/10.20914/2310-1202-2016-4-49-55

Views: 4659


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2226-910X (Print)
ISSN 2310-1202 (Online)