Hubynskyi M.V., Kirsanov M.V. About the relationship between the radii of bubbles in the condesator of the drive wheel of a vibration-pneumatic machine and at the entrance to the nozzle

Geoteh. meh. 2021, 158, 44-54

https://doi.org/10.15407/geotm2021.158.044

 

ABOUT THE RELATIONSHIP BETWEEN THE RADII OF BUBBLES IN THE CONDESATOR OF THE DRIVE WHEEL OF A VIBRATION-PNEUMATIC MACHINE AND AT THE ENTRANCE TO THE NOZZLE

1Hubynskyi M.V., 2Kirsanov M.V.

1National Metallurgical Academy of Ukraine, 2Institute of Geotechnical Mechanics named by N. Poljakov of NAS of Ukraine

UDC 532: 622.7-913.3.001.57                              

Language: English

Abstract. To increase the efficiency of vibration-pneumatic machines, it is proposed to use the heat generated during the operation of their compressor. The processes of converting the thermal energy of heated water into useful mechanical work are analyzed. The process of converting thermal energy into mechanical work during the implementation of a "triangular" thermodynamic cycle was taken into account. To organize this cycle, it is proposed to introduce a wheel into the design of the vibration-pneumatic machine, which provides the drive of the vibration mechanism. Previously, an electric motor was used for this purpose. The exclusion of the electric motor increases the efficiency of the machine and reduces its categorization due to the secondary energy resource.
The analysis of the literature showed a rather arbitrary approach to determining the parameters of steam-air bubbles at the inlet to the nozzle of the impeller of the machine. The aim of the work was to establish the dependence of the ratio of the radii of steam-air bubbles at the inlet to the nozzle of the impeller of the machine and in the condenser on the degree of expansion of the "triangular" thermodynamic cycle. The expansion parameter of the cycle is the ratio of the water pressure in the inlet section of the nozzle to the pressure of the vapor-air medium in the condenser of the machine.
A physical and mathematical model of the formation of vapor-air bubbles-nuclei of the heterogeneous boiling in the upper layer of water in the condenser pan by "capturing" air when drops are falling into the pallet is proposed. As well as changes in parameters of the vapor-air bubbles before entering the nozzles installed on the drive wheel of vibration-pneumatic machine. Based on the physical model, a system of algebraic equations is constructed to determine the composition of the vapor-air medium and the radius of bubbles in the inlet section of the nozzles. Solutions of this system of equations are investigated by numerical methods.
It was established for the first time that the ratio of the radii of bubbles in the condenser and at the inlet to the nozzle of the drive wheel of machine is proportional to the expansion parameter of the thermodynamic cycle of the machine with an indicator of the degree of 0.3. Establishing the relationship between the radius of steam-air bubbles in the condenser and at the inlet to the nozzle will allow us to scientifically determine, and not to arbitrarily set the parameters of the discrete phase in the inlet section of the nozzle of the machine. This improves the accuracy of the entire algorithm for determining the parameters of the wheel of the machine, depending on the parameters of the working fluid at key points of its circulation circuit.
Keywords: vibration-pneumatic machine, drive wheel, steam-air bubbles, radial feed tubes, nozzles of drive wheel, condenser, two-phase flow.


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About the authors:

Hubynskyi Mykhailo Volodymyrovych, Doctor of Technical Science, Professor of Department of Energy Systems and Energy Management, National Metallurgical Academy of Ukraine (NMetAU), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Kirsanov Mykhailo Volodymyrovych, Master of Science, Chief Designer in Department of Mine Energy Complexes, Institute of Geotechnical Mechanics named by N. Poljakov of the National Academy of Sciences of Ukraine (IGTM of NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.