Theoretical model of the energy costs realization process during shock grinding of grain raw materials

E. M. Asmankin, Y. A. Ushakov, V. A. Shakhov, V. V. Gerasimenko, Kh. S. Kukaev
Orenburg State Agrarian University, ul. Chelyuskintsev, 18, Orenburg, 460014, Russian Federation

Abstract. One of the ways to improve rotary grinders of grain raw materials is to reduce energy consumption by improving the impact of working bodies on it. The proposed method implies a limited number of exclusively impact actions, which implies the need for a theoretical assessment of the impact efficiency in terms of energy supply of the process under study. The purpose of the study is a mathematical description of the realizing energy consumption process for grinding grain raw materials by a series of free impacts. Losses of mechanical energy are considered as a parameter characterizing the quality of impact. The key aspect in determining the mechanical energy loss is finding the fly velocity and angle of a particle after hitting a stationary solid surface. The problem was solved using the proposed version of the Routh formula, which expresses the ratio of the components of the shock impulse. Based on the obtained results, analytical expressions were derived to determine the mechanical energy losses and specific energy costs associated with the implementation of the grinding raw materials process by free impacts. Theoretical values of specific energy costs depending on the angle of attack for given target parameters of the formula are in good agreement with the experimental data previously obtained by Professor L.A. Glebov for a number of grain crops. The theoretical model makes it possible to predict the possible specific energy consumption at angles of attack less than 30 degrees, for which no experimental measurements have been made. To increase the energy efficiency of the impact type shredder, it is advisable to narrow the range of angles of attack. The obtained mathematical expressions are applicable in the calculation of the energy parameters of the device that implements the proposed method of grinding, and other devices with a similar design principle.

Keywords: grain refinement; impact; efficiency; angle of attack; impact impulse; specific energy consumption; energy loss.

Author Details: E. M. Asmankin, D. Sc. (Tech.), prof.; Y. A. Ushakov, D. Sc. (Tech.), prof.; V. A. Shakhov, D. Sc. (Tech.), prof.; V. V. Gerasimenko, D. Sc. (Biol.), prof.; Kh. S. Kukaev, post graduate student (e-mail: Этот адрес электронной почты защищён от спам-ботов. У вас должен быть включен JavaScript для просмотра.).

For citation: Asmankin EM, Ushakov YA, Shakhov VA, et al. [Theoretical model of the energy costs realization process during shock grinding of grain raw materials]. Dostizheniya nauki i tekhniki APK. 2022;36(11):80-5. Russian. doi: 10.53859/02352451_2022_36_11_80.