## Numerical Simulation of the Perforated Shell’s Oscillations in a Vibrational Priller

**Author(s): **Demianenko M.^{1*}, Volf M.^{2}, Skydanenko M.^{1}, Yakovchuk V.^{1}, Pavlenko I.^{1}, Liaposhchenko O.^{1}

**Affiliation(s): **

^{1 }Sumy State University, 2, Rymskogo-Korsakova St., 40007 Sumy, Ukraine;

^{2}University of West Bohemia, 2738/8, Univerzitni St., 301 00 Pilsen 3, Czech Republic

** ^{*}Corresponding Author’s Address: **[email protected]

**Issue:** Volume 7, Issue 2 (2020)

**Dates:**Paper received: October 2, 2020

The final version of the paper received: December 16, 2020

Paper accepted online: December 21, 2020

**Citation:**

*Demianenko, M., Volf, M., Skydanenko M., Yakovchuk V., Pavlenko, I., Liaposhchenko O. (2020). Numerical simulation of the perforated shell’s oscillations in a vibrational priller. Journal of Engineering Sciences, Vol. 7(2), pp. F30–F36, doi: 10.21272/jes.2020.7(2).f5*

**DOI:** 10.21272/jes.2020.7(2).f5

**Research Area: ** CHEMICAL ENGINEERING: Processes in Machines and Devices

**Abstract.** The widespread catalysts and nuclear fuel production are the sol-gel technology, including several stages, namely, the raw materials preparation, dispersing it into drops, the granules formation in gas and then in liquid media, granules removal with liquid separation. The vibration granulator is proposed to use on the dispersion stage. One of the problems in their development is determining the vibrational characteristics of a perforated bucket filled with liquid to a certain level. Considering that vibrations are transmitted from the emitter disk through the liquid melt and cause vibrations of the perforated shell, in research, it was decided to use the Fluent Flow and the Transient Structural modules of the ANSYS Workbench software. As a result, numerical simulation results of the emitter disk vibration effect on the cylindrical body are presented. Also, parameters of a discrete mathematical model are evaluated by the bucket vibrations characteristics. The corresponding model considers the inertial, stiffness, and damping properties of functional elements. Additionally, according to the modal analysis results of the priller body, it was determined the eigenfrequencies of the hydromechanical system. Finally, based on the numerical simulation results and their analysis using Fourier transformations, it was determined that the oscillations of the lower part of the bucket, consisting of two harmonic oscillations that equal 230 Hz and 520 Hz.

**Keywords:** perforated bucket, oscillations, computational fluid dynamics, Fourier transform, parameter identification.

**References:**

- Afif, A. A., Wulandari, P., Syahriar, A. (2020). CFD analysis of vertical axis wind turbine using ANSYS Fluent.
*Journal of Physics: Conference Series*, Vol. 1517(1), 012062, doi:10.1088/1742-6596/1517/1/012062. - Ricardo, G. A. N., Noriler, D., Martignoni, W. P., Meier, H. F. (2013). Eulerian-Lagrangian analysis of multiphase flow in urea prilling process with phase changing.
*Chemical Engineering Transactions*, Vol. 32, pp. 2173–2178. - Ali, K. (2015). Design of a spray tower for the granulation of melt.
*Al-Nahrain Journal for Engineering Sciences*, Vol. 18(1), pp. 111–117. - Jafari, H., Idris, M. H., Ourdjini, A., Farahany, S. (2013). In situ melting and solidification assessment of AZ91D granules by computer-aided thermal analysis during investment casting process.
*Materials and Design*, Vol. 50, pp. 181–190, doi: 10.1016/j.matdes.2013.02.035. - Srinivasan, V., Salazar, A. J., Saito, K. (2011). Modeling the disintegration of modulated liquid jets using volume-of-fluid (VOF) methodology.
*Applied Mathematical Modelling*, Vol. 35, pp. 3710–3730. - Viktorov, S. D., Frantov, A. E., Lapikov, I. N., Andreev, V. V., Starshinov, A. V. (2016). Effect of the microstructure of ammonium nitrate granules on the detonability of composite propellants based on it.
*Combustion, Explosion and Shock Waves*, Vol. 52(6), pp. 727–731, doi: 10.1134/S0010508216060137. - Saleh, S. N., Barghi, S. (2016). Reduction of fine particle emission from a prilling tower using CFD simulation.
*Chemical Engineering Research and Design*, Vol. 109, pp. 171–179. - Muhammad, A., Rahmanian, N., Pendyala, R. (2013). Flow analysis of melted urea in a perforated rotating bucket.
*Applied Mechanics and Materials*, Vol. 372, pp. 340–345. - Skydanenko, M., Sklabinskyi, V., Saleh, S. (2019). CFD simulation of ammonium nitrate melt in a perforated rotating bucket.
*Advances in Design, Simulation and Manufacturing. DSMIE 2018. Lecture Notes in Mechanical Engineering. Springer, Cham*, pp. 598–506, doi: 10.1007/978-3-319-93587-4_52, 498-506. - Li, Z., Kind, M., Gruenewald, G. (2010). Modeling fluid dynamics and growth kinetics in fluidized bed spray granulation.
*The Journal of Computational Multiphase Flows*, Vol. 2(4), pp. 235–248. - Shimasaki, S., Taniguchi, S. (2011). Formation of uniformly-sized droplets from capillary jet by electromagnetic force.
*Applied Mathematical Modelling*, Vol. 35(4), pp. 1571–1580, doi: 10.1016/j.apm.2010.09.033. - Saleh, S. N.; Saaed, O., Skydanenko, M. (2019). CFD assessment of jet flow behavior in an alternative design of a spray dryer chamber.
*Advances in Design, Simulation and Manufacturing II. DSMIE 2019. Lecture Notes in Mechanical Engineering. Springer, Cham*, pp. 863–870, doi: 10.1007/978-3-030-22365-6_86. - Zhang, J., Richards, C. M. (2006). Dynamic analysis and parameter identification of a single mass elastomeric isolation system using a Maxwell-Voigt model.
*Journal of Vibration and Acoustics*, Vol. 128(6), pp. 713–721, doi: 10.1115/1.2345676. - Chen, S., Cong, B., Zhang, D., Liu, X., Shen, S. (2020). An undamped oscillation model with two different contact angles for a spherical droplet impacting on solid surface.
*Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta, Seriya Fiziko-Matematicheskie Nauki*, Vol. 24(2), pp. 390–400, doi:10.14498/VSGTU1761. - Zheng, W., Cui, X., Chen, H., Zheng, R. (2020). Swept-sine integration method for complex amplitude extraction of swept-sine signal.
*Journal of Mechanical Science and Technology*, Vol. 34(12), pp. 4981–4988, doi:10.1007/s12206-020-1103-6. - Ni, S., Chen, Q. (2011). Dynamic research on vibration-impact crushing system of a bilateral single-mass.
*Advanced Materials Research*, Vol. 308–310, pp. 1914–1917, doi: 10.4028/www.scientific.net/AMR.308-310.1914.