Mathematical modeling of the oil extrusion process with pre-grinding of raw materials in a twin-screw extruder
Keywords:process, extrusion, oil-containing, raw materials, energy consumption, extruder
The extrusion process of oil-containing raw materials using a twin-screw extruder is becoming increasingly common in food technology. The problem of high energy costs for the implementation of this process is solved by reducing the resistance of the process mass due to the preliminary grinding of raw materials. The classical theory of extrusion is based mainly on the use of theoretical solutions of mathematical models of processes, which are simplified and allow determining integral parameters using coefficients, the preparation of which for the calculation of the corresponding processes and equipment is a rather complicated and approximate procedure. Mathematical modelling of the movement of the technological medium at the individual stages of the processing of raw materials allows us to determine the analytical dependences for the power and energy parameters of the system and to carry out their effective technical and economic evaluation. Using the methods of mathematical analysis and data processing in the MathCAD software environment, graphical dependences of the power and energy parameters of the research technical system were obtained. By increasing the density of the oil-containing raw materials, which is extruded in the research extruder by 40.5% the pressure force increases by 41%, that is, there is an almost proportional relationship between the pressure force and the density of the processed raw material. With an increase in the angular velocity of the drive shaft ω more than 8 rad.s-1, the pressure force in the research process increases sharply. With an increase in the density of raw materials, it is grinded before extrusion by 40%, the power consumption for the grinding process increases by 2.8 times for the recommended operating mode. Energy losses for pressing completely grinded raw materials are reduced by 2.52 times.
Anderegg, D., Bryant, H., Ruffin, D., Skrip, Jr., Fallon, J., Gilmer, E., Bortner, M. 2019. In-situ monitoring of polymer flow temperature and pressure in extrusion based additive manufacturing. Additive Manufacturing, vol. 26, p. 76-83. https://doi.org/10.1016/j.addma.2019.01.002
Bako, T., Enyi, O., Imolemhe, U. 2020. Mathematical modeling of mechanical horizontal screw oil extractor. Agricultural Engineering International: CIGR Journal, vol. 22, no. 2, p. 244-254.
Bogaert, L., Mathieu, H., Mhemdi, H., Vorobiev, E. 2018. Characterization of oilseeds mechanical expression in an instrumented pilot screw press. Industrial crops and products, vol. 121, p. 106-113. https://doi.org/10.1016/j.indcrop.2018.04.039
Cai, H. X., Liu, W. 2017. A prediction method for the precision of extrusion grinding of a needle valve body. Production Engineering, vol. 11, no. 3, p. 295-305. https://doi.org/10.1007/s11740-017-0723-x
Chen, K., Bachmann, P., Bück, A., Jacob, M., Tsotsas, E. 2019. CFD simulation of particle residence time distribution in industrial scale horizontal fluidized bed. Powder technology, vol. 345, p. 129-139. https://doi.org/10.1016/j.powtec.2018.12.086
Cherednichenko, O., Bal-Prylypko, L. 2019. Modern condition and development of the specialized enterprises-rape producers. International scientific conference «AGRITECH-2019: Agribusiness, Environmental engineering and biotechnologies», Institute of Physics and IOP Publishing Limited, vol. 315, no. 2, p. 1-4. https://doi.org/10.1088/1755-1315/315/2/022018
Herak, D. 2013. Mathematical model of mechanical behaviour of Jatropha curcas L. seeds under compression loading. Biosystems Engineering, vol. 114 no. 3, p. 279-288. https://doi.org/10.1016/j.biosystemseng.2012.12.007
Herman, H. 1975. Screw machines in technology. Chemistry, Kyiv, Ukraine : Chemistry, 229 p.
Iuga, A., Samuila, A., Morar, R., Bilici, M., Dascalescu, L. 2016. Tribocharging techniques for the electrostatic separation of granular plastics from waste electric and electronic equipment. Particulate Science and Technology, vol. 34, no. 1, p. 45-54. https://doi.org/10.1080/02726351.2015.1043675
Kehinde, A. 2016. Engineering review food extrusion technology and its applications. Journal of Food Science and Engineering, vol. 6, p. 149-168. https://doi.org/10.17265/2159-5828/2016.03.005
Kolyanovska, L. M., Palamarchuk, I. P., Sukhenko, Y., Mussabekova, A., Bissarinov, B., Popiel, P., Mushtruk, M. M., Sukhenkko, V., Vasuliev, V., Semko, T., Tyshchenko, L. 2019. Mathematical modeling of the extraction process of oil-containing raw materials with pulsed intensification of heat of mass transfer. Proceedings of SPIE - The International Society for Optical Engineering, 25 p. https://doi.org/10.1117/12.2522354
Kudrin, Yu. 1997. Worm machines in oil production technology. Kyiv, Ukraine : Amendments, 144 p.
Leray, S., Engdahl, N. B., Massoudieh, A., Bresciani, E., McCallum, J. 2016. Residence time distributions for hydrologic systems: Mechanistic foundations and steady-state analytical solutions. Journal of Hydrology, vol. 543, p. 67-87. https://doi.org/10.1016/j.jhydrol.2016.01.068
Mamanpush, S. H., Tabatabaei, A. T., Li, H., Englund, K. 2018. Data on the mechanical properties of recycled wind turbine blade composites. Data Brief., vol. 19, 230-235. https://doi.org/10.1016/j.dib.2018.05.008
Martin, M., Otakar, H. 2017. Modelling of cutting process impact on machine tool thermal behaviour based on experimental data. Procedia CIRP, vol. 58, p. 152-157. https://doi.org/10.1016/j.procir.2017.03.208
Mushtruk, M., Vasyliv, V., Slobodaniuk, N., Mukoid, R., Deviatko, O. 2020. Improvement of the Production Technology of Liquid Biofuel from Technical Fats and Oils. In Ivanov, V., Trojanowska, J., Machado, J., Liaposhchenko, O., Zajac, J., Pavlenko, I., Edl, M., Perakovic, D. Advances in Design, Simulation and Manufacturing IІI, Switzerland : Springer International Publishing, p. 377-386. ISBN 21954364-21954356. https://doi.org/10.1007/978-3-030-50491-5_36
Owolarafe, O. K., Osunleke, A. S., Odejobi, O. A. 2008. Mathematical modelling and simulation of the hydraulic expression of oil from oil palm fruits. Biosystems Engineering, vol. 101 no. 3, p. 331-340. https://doi.org/10.1016/j.biosystemseng.2008.08.007
Palamarchuk, I., Mushtruk, M., Sukhenko, V., Dudchenko, V., Korets, L., Litvinenko, A., Deviatko, O., Ulianko, S., Slobodyanyuk, N. 2020. Modelling of the process of vybromechanical activation of plant raw material hydrolysis for pectin extraction. Potravinarstvo Slovak Journal of Food Sciences, vol. 14, p. 239-246. https://doi.org/10.5219/1305
Palamarchuk, I., Mushtruk, M., Vasyliv, V., Zheplinska, M. 2019. Substantiation of regime parameters of vibrating conveyor infrared dryers. Potravinarstvo Slovak Journal of Food Sciences, vol. 13, no. 1, p. 751-758. https://doi.org/10.5219/1184
Petrov, I., Slavnov, E. 2013. Modeling of auger-press spin as a set of processes of flow of a viscous incompressible mixture and filtering of liquid through a porous medium. Computational Mechanics of Continuous Median, vol. 6, no. 3, p. 277-285. https://doi.org/10.7242/1999-6691/2013.6.3.31
Polosin, A., Chistyakova, T. 2014. The mathematical models and program complex for synthesis of reciprocating extruders with adjustable con gurations. Computer Research and Modeling, vol. 6 no. 1, p. 137-158. https://doi.org/10.20537/2076-7633-2014-6-1-137-158
Prashanth, S., Arumugam, S., Gangradey, R., Mukherjee, S., Kasthurirengan, S., Behera, U., Mugilan, M. 2019. CFD modelling and performance analysis of a twin screw hydrogen extruder. Fusion Engineering and Design, vol. 138, p. 151-158. https://doi.org/10.1016/j.fusengdes.2018.11.014
Pugachev, P., Levina, N., Shalaeva, L. 2011. Optimal modes for the press. Compound Feed, vol. 5, p. 48-49.
Shahbaz, M., Kim, J. G., Ebrahimi, R., Kim, H. S. 2017. Prediction of Extrusion Pressure in Vortex Extrusion Using a Streamline Approach. Iranian Journal of Materials Forming, vol. 4, no. 1, p. 52-62. https://doi.org/10.22099/IJMF.2017.4060
Sheiko, T., Tkachenko, S., Mushtruk, M., Vasyliv, V., Deviatko, O., Mukoid, R., Bilko, M., Bondar, M. 2019. The Studying the processing of food dye from beet juice. Potravinarstvo Slovak Journal of Food Sciences, vol. 13 no. 1, p. 688-694. https://doi.org/10.5219/1152
Shi, X., Wang, W., Mu, Y., Yang, X. 2019. Thermal characteristics testing and thermal error modeling on a worm gear grinding machine considering cutting fluid thermal effect. The International Journal of Advanced Manufacturing Technology, vol. 103, no. 9-12, p. 4317-4329. https://doi.org/10.1007/s00170-019-03650-0
Shirazian, S., Kuhs, M., Darwish, S., Croker, D., Walker, G. 2017. Artificial neural network modelling of continuous wet granulation using a twin-screw extruder. International Journal of Pharmaceutics, vol. 521, no. 1-2, p. 102-109. https://doi.org/10.1016/j.ijpharm.2017.02.009
Soares, J. , Zhang, W., Sacks, M. 2017. A mathematical model for the determination of forming tissue moduli in needled-nonwoven scaffolds. Acta Biomaterialia, vol. 51, p. 220-236. https://doi.org/10.1016/j.actbio.2016.12.038
Sokolov, B., Tolpegin, O., Ipatov, Y., Andrianov, Y. 2018. Polymodel description and qualitative analysis of problems for measurement-computer operations planning in cyberphysical systems. Journal of Applied Engineering Science, vol. 16, no. 4, p. 577-582. https://doi.org/10.5937/jaes16-18147
Syryamkin, R. S., Gorbunov, Y. A., Sidelnikov, S. B., Otmahova, A. Y. 2019. Investigation into the Influence of the Degree of Grinding of the Ingot Grain Structure of the 6063 Alloy on Its Plasticity, Extruding Parameters, and Properties of Extruded Profiles. Russian Journal of Non-Ferrous Metals, vol. 60, no. 1, p. 35-40. https://doi.org/10.3103/S1067821219010139
Troshin, A. I. 2017. A Turbulence model taking into account the longitudinal flow inhomogeneity in mixing layers and jets. Progress in Flight Physics, vol. 9, no. 9, p. 481-496. https://doi.org/10.1051/eucass/2016090481
Tsagareishvili, D., Sesikashvili, O., Dadunashvili, G., Sakhanberidze, N., Tsagareishvili, S. 2019. The influence of the moisture content of raw materials on the structuring of the extrudates. Potravinarstvo Slovak Journal of Food Sciences, vol. 13, no. 1, p. 898-905. https://doi.org/10.5219/1189
Tuta, S., Palazoğlu, T. K. 2017. Finite element modeling of continuous-flow microwave heating of fluid foods and experimental validation. Journal of Food Engineering, vol. 9, no. 192, p. 79-92. https://doi.org/10.1016/j.jfoodeng.2016.08.003
Yang, J., Xie, W., Kong, X., Xu, D., Wang, X. 2018. Reactive extrusion of ammonium polyphosphate in a twin-screw extruder: polydispersity improvement. Chemical Engineering and Processing-Process Intensification, vol. 133, p. 58-65. https://doi.org/10.1016/j.cep.2018.09.019
Zeleňáková, L., Angelovičová, M., Šnirc, M., Žiarovská, J., Kráčmar, S., Gálik, B., Kunová, S. 2019. Thermo-degradative changes of rapeseed and sunflower oils during deep-frying French fries. Potravinarstvo Slovak Journal of Food Sciences, vol. 13, no. 1, p. 138-149. https://doi.org/10.5219/1080
Zheplinska, M., Mushtruk, M., Kos, T., Vasyliv, V., Kryzhova, Y., Mukoid, R., Bilko, M., Kuts, A., Kambulova, Y., Gunko, S. 2020. The influence of cavitation effects on the purification processes of beet sugar production juices. Potravinarstvo Slovak Journal of Food Sciences, vol. 14, no. 1, p. 451-457. https://doi.org/10.5219/1284
Zheplinska, M., Mushtruk, M., Vasyliv, V., Deviatko, O. 2019. Investigation of the process of production of crafted beer with spicy and aromatic raw materials. Potravinarstvo Slovak Journal of Food Sciences, vol. 13, no. 1, p. 806-814. https://doi.org/10.5219/1183
Zhou, W., Yu, J., Lin, J., Dean, T. A. 2019. Manufacturing a curved profile with fine grains and high strength by differential velocity sideways extrusion. International Journal of Machine Tools and Manufacture, vol. 140, p. 77-88. https://doi.org/10.1016/j.ijmachtools.2019.03.002
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