Mathematical Model of Pressure Formation Process along the Helix Channel Length of Screw Grinder


The improvement of the technical equipment effectiveness is currently becoming particularly important. This applies not only to large and high-energy-intensive machines, but also to household appliances, the total energy consumption of which often exceeds the energy consumption of the overall equipment. These types of devices include, in particular, grinding and cutting equipment. The mathematical description of the processes carried out on this equipment is generalized and can be extended to a wider class of machines, including waste processing and mining equipment. The technological parameters, the design of screw grinders, and the processes of movement, deformation, extrusion and cutting carried out in them are characterized by a significant number of factors affecting the energy intensity. The main ones are the geometric parameters of the screw, machine’s body, cross knife, grinding plate’s thickness, the number and diameter of holes in it, as well as the product’s physical-mechanical characteristics and operating conditions. The most important for the mathematical description are the zones and processes where the main share of the consumed power is spent. The complexity of their analytical description is due to a simplified consideration of either individual technological zones of grinders’ existing designs, or the use of unreasonable simplifications.

[1] Ostroukh A. S., Aballava V. A. (2016). Calculation of the performance of screw presses mechanically deboned subject to backpressure. Theory and practice of meat processing, vol. 3, no. 1, pp. 66–80.

[2] Krickmeier J., Schnackel D., Pongjanyanukul W., et al. (2012). Untersuchungen zur Optimierung des Wolfprozesses. Teil 2: Verteilung der notwendigen Arbeiten beim Scheren in Abhängigkeit von maschinen und rohstoffbedingten Einflüssen. Fleischwirtschaft, no. 1, pp. 88–92.

[3] Nekoz O., Filimonova N., Filimonjv S., et al. (2013). Research of knife-blades wear intensity of meatgrinder. Bulletin of Chekasy State Tehnological University. Series: Engineering, no. 2, pp. 84–96.

[4] Sukhenko V. Yu. (2014). Mathematical design of process of portage and through pressure of meat is in the screw grinding down. Scientific Works NUFT, National University of Life and Environmental Sciences of Ukraine, vol. 20, no. 1, pp. 153–165.

[5] Usmanov I. I. (2018). The definition of the law of change of pressure of raw meat along the screw channel gyroscopes. Izvestiya Saint-Petersburg State Agrarian University, vol. 52, no. 3, pp. 237–243.

[6] Alekseev G., Kravtsova E., Goncharov M. (2017). Determination of the estimated values of the critical load for the shape of the blade tool. Technologies of food and processing industry of agroindustrial complex-products of healthy food, vol. 17, no. 3. pp. 59–65.

[7] Haack E., Schnackel W., Krickmeier J. (2012). Wirkungsgrade deutlich verbessern das Leistungspotezial fon industriewolfen ist berechenbar und energieeffizient, Fleischwirtschaft, no. 6, pp. 25–33.

[8] Nekoz O., Filimonova N., Batrachenko O. (2015). Hydraulic resistance of the cutting node of meat grinders. Scientific journal Herald of Khmelnytskyi national university, vol. 225, pp. 13–18.

[9] Ivanov, N., Ris, V., Tschur, N., Zasimova, M. (2016). Numerical simulation of conjugate heat transfer in a tube bank of a subsea cooler based on buoyancy effects. Journal of Physics, Conference Series, vol. 745, no. 3, pp. 51–58.

[10] Kaikko, J., Mankonen, A., Vakkilainen, E., et al. (2017). Core-annulus model development and simulation of a CFB boiler furnace. Energy Procedia, no. 120, pp. 572–579.

[11] Sirotkina, A., Fedorovich, E., Sergeev, V. (2017). Model of formation and roughness calculation of the porous layer on the heated surface during nanofluids boiling. Psychology of Learning and Motivation - Advances in Research and Theory, no. 67, pp. 101–106.

[12] Nagorny, A., Nagorny, V., Tisenko, V. (2018). Improved-accuracy innovative compensatory flowmeters of variable pressure differential applied in oil gas industry. International Russian Automation Conference, RusAutoCon 2018, no. 8501824.