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Calculation of the Granulometric Composition of Prilled Products from the Most Probable Size of Granules

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Journal of Engineering Physics and Thermophysics Aims and scope

The technique of calculating industrial centrifugal, static, vibrostatic, and spray granulators has been supplemented with the missing element — the calculation of the granulometric composition of a product from the most probable size of granules. Using the Kolmogorov–Avrami equation describing the degree of random conversion of granules in the space of their dimensions, constants for calculating various types of granulators have been obtained.

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References

  1. A. K. Chernyshov, B. V. Levin, A. V. Tugolukov, A. A. Ogarkov, and V. A. Il′in, Ammonium Nitrate: Properties, Production, Application [in Russian], Infokhim, Moscow (2009).

  2. Yu. A. Taran, M. K. Zakharov, A. V. Taran, V. O. Bespalova, and A. L. Taran, Effects of resources- and energy saving and increasing ecologically safe application of granulated and capsulated products obtained by applying the proposed technologies, Ext. Abstr. Int. Sci.-Tech. Conf. ″Problems of Resources- and Energy Saving Technologies in Industry and Agrarian-Industrial Complexes, September 23–26, 2014, Ivanovo (2014), pp. 401–408.

  3. V. M. Olevskii, Production of Ammonium Nitrate by Units of High Single Power [in Russian], Khimiya, Moscow (1990).

  4. E. A. Kazakova, Granulation and Cooling of Nitrogen Fertilizers [in Russian], Khimiya, Moscow (1980).

  5. P. V. Klassen, I. G. Grishaev, and I. P. Shomin, Granulation [in Russian], Khimiya, Moscow (1991).

  6. M. E. Ivanov, Dispersion of granules and cocurrent flow of a continuous medium with the two moving from a single source, Teor. Osn. Khim. Tekhnol., 17, No. 4, 551–554 (1983).

    Google Scholar 

  7. M. E. Ivanov and B. I. Malkin, Numerical solution of the problem of determining the mechanics and heat transfer in tower granulation, Tr. GIAP, Vol. of papers ″Production of Nitrogen Fertilizers, 99–107 (1985).

  8. M. E. Ivanov, V. M. Lindin, A. B. Ivanov, and K. M. Zakharova, Development of the static system of granulation of ammonium nitrate, Khim. Prom., No. 5, 376–380 (1973).

  9. M. E. Ivanov and A. B. Ivanov, Solution of the problems of the general case of two-dimensional granule (body) motion in a gravity field, J. Eng. Phys. Thermophys., 28, No. 1, 89–92 (1975).

    Article  Google Scholar 

  10. M. E. Ivanov, V. M. Lindin, and B. I. Malkin, Heat transfer in tower granulation of complex NP and NPK fertilizers, Khim. Prom., No. 11, 679–681 (1985).

  11. E. A. Kazakova, A. L. Taran, and A. V. Taran, Experimental and theoretical investigation of carbamide crystallization under conditions of tower granulation, Teor. Osn. Khim. Tekhnol., 17, No. 5, 713–719 (1983).

    Google Scholar 

  12. E. A. Kazakova, A. L. Taran, and A. V. Taran, Methods of experimental and theoretical analysis of the process of crystallization and cooling of granules in a cooling agent stream, Teor. Osn. Khim. Tekhnol., 18, No. 6, 761–768 (1984).

    Google Scholar 

  13. A. L. Taran and A. V. Taran, Estimation of the error of the methods used in calculating the processes of crystallization of one-component melts in towers, Khim. Prom., No. 9, 561–565 (1985).

  14. A. L. Taran and A. V. Taran, Granulating a one-component liquid melts by dispersion in an ascending coolant, J. Eng. Phys. Thermophys., 51, No. 1, 797–803 (1986).

    Article  MathSciNet  Google Scholar 

  15. E. A. Kazakova, A. L. Taran, and A. V. Taran, Estimation of the minimum necessary height of the granulation towers, Khim. Prom., No. 10, 617–619 (1986).

  16. A. L. Taran, S. L. Shmelev, V. M. Olevskii, V. V. Kuznetsova, M. K. Rustambekov, A. M. Filonov, and A. V. Taran, Investigation of the possibility of granulation in towers of ammonium nitrate with additions of ammonium sulfate, Khim. Prom., No. 12, 743–749 (1991).

  17. V. M. Olevskii, N. I. Gel’perin, M. E. Ivanov, Yu. V. Tsekhanskaya, and A. L. Taran, Means of increasing the quality of granulated ammonium nitrate, Khim. Prom., No. 11, 676–682 (1987).

  18. M. E. Ivanov, Theoretical Principles of the Ammonium Nitrate Technology and Development of Large-Tonnage Plants for Its Production, Doctoral Dissertation (in Engineering), GIAP, Moscow (1988).

  19. A. V. Taran, Investigation of the Process of Crystallization of the Melts of Individual Substances with Supercooling, Candidate’s Dissertation (in Engineering), MITKhT im. M. V. Lomonosova, Moscow (1979).

  20. Yu. A. Taran, Development and Analysis of the Processes of Granulation of Melts with the Use of Ecologically Safe Energy-Saving Schemes, Candidate′s Dissertation (in Engineering), MITKhT im. M. V. Lomonosova, Moscow (2011).

  21. A. L. Taran, Theory and Practice of the Processes of Granulation of Melts and Powders, Doctoral Dissertation (in Engineering), MITKhT im. M. V. Lomonosova, Moscow (2001).

  22. V. E. Kuchinskii, Development of the Process of Obtaining Granulated Porous Ammonium Nitrate of Improved Strength by the Prilling Method, Candidate′s Dissertation (in Engineering), MITKhT im. M. V. Lomonosova, Moscow (2011).

  23. Yu. A. Taran, Schemes of energy saving in the technologies of granulation by crystallizing molten droplets, Khim. Prom. Segodnya, No. 9, 43–52 (2013).

  24. B. G. Kholin, Centrifugal and Vibrational Granulators of Fusion Cakes and Liquid Sprayers [in Russian], Mashinostroenie, Moscow (1977).

  25. D. M. Gorlovskii, L. N. Al’tshuler, and V. I. Kucheryavyi, The Technology of Carbamide [in Russian], Khimiya, Leningrad (1981).

  26. D. G. Pazhi and V. S. Galustov, Sprayers of Liquids [in Russian], Khimiya, Moscow (1979).

  27. M. K. Rustambekov, A. L. Taran, E. V. Dolgalev, O. A. Troshkin, S. A. Sundiev, V. Yu. Poplavskii, and V. Yu. Bubentsov, Granulator, Patent 2277011 RF, B01J2/02, Published 27.05.2006, Byull. No. 15.

  28. A. L. Taran, M. K. Rustambekov, E. V. Dolgalev, Yu. A. Taran, and D. B. Zaitsev, A means of determining the granulometric composition from the most probable size of granules, Khim. Tekh., No. 11, 42–45 (2005).

  29. E. V. Dolgalev, Technology and Instrumentation of the Production of Calcium-Ammonium Nitrate in Granulation Towers, Candidate’s Dissertation (in Engineering), MITKhT im. M. V. Lomonosova, Moscow (2006).

  30. N. I. Gel’perin, I. A. Egorov, and L. A. Kamneva, Investigation of the process of dispersing molten caustic alkalis during their escape from the sprayer orifices in a column granulator, Khim. Prom., No. 7, 49–51 (1975).

  31. V. G. Sister, M. K. Rustambekov, A. G. Klimov, and E. N. Kryukova, Process of dispersing liquids by a centrifugal sprayer in the mode of formation of large droplets, Khim. Negftegaz. Mashinostr., No. 5, 10–13 (2013).

  32. A. L. Taran, E. V. Dolgalev, and Yu. A. Taran, Algorithm for computing spraying granulator for the production of calcium-ammonium nitrate in towers, Vestn. MITKhT, 1, No. 3, 42–46 (2006).

    Google Scholar 

  33. A. L. Taran, E. V. Dolgalev, and Yu. A. Taran, Centrifugal granulator of suspensions for production of calcium-ammonium nitrate in towers, Khim. Prom. Segodnya, No. 3, 45–48 (2008).

  34. M. K. Rustambekov, A. L. Taran, and V. P. Danilov, A Means of Obtaining Calcium Chloride and Potassium Nitrate from Potassium Chloride and Calcium Nitrate, Patent 2206506 RF, C01D9/12, C01F11/24, published 20.06.2033, Byull. No. 17.

  35. I. I. Bronshtein and K. A. Semendyaev, Handbook of Mathematics [in Russian], Nauka, Moscow (1980).

  36. A. N. Kolmogorov, Toward the static theory of crystallization of metals, Izv. Akad. Nauk SSSR, Ser. Matematich., No. 3, 355–359 (1937).

  37. E. A. Kazakova, Granulation and Cooling in Fluidized-Bed Apparatuses [in Russian], Khimiya, Moscow (1973).

  38. V. P. Skripov and V. P. Koverda, Spontaneous Crystallization of Supercooled Liquids [in Russian], Nauka, Moscow (1984).

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Correspondence to Yu. A. Taran.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 89, No. 5, pp. 1141–1147, September–October, 2016.

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Taran, Y.A., Bespalova, V.O., Taran, A.L. et al. Calculation of the Granulometric Composition of Prilled Products from the Most Probable Size of Granules. J Eng Phys Thermophy 89, 1134–1140 (2016). https://doi.org/10.1007/s10891-016-1476-7

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