Matvienko O. Improving the physical and mathematical models of real processes of volume leaks in the gear pumps

Research object - the processes of motion of the working fluid through the clearances in the mating parts of gear pump. Research purpose - increasing the accuracy of calculation of internal leaks of fluid through the development of physical and mathematical models of fluid movement through the clearances of gear pump. During the development of physical models of processes internal leaks used gear pump theory and the theory of involute gears. The mathematical models of internal leaks in the gear pump was based on the methods of fluid dynamics, general and engineering hydraulics, differential and integral calculus. During the development methods for calculating the amount of internal leakage of working fluid through the clearances of gear pump used the theory of gear pump and the theory of involute gears. In processing the results of experimental studies have used the theory of experiments and experimental data processing methods of mathematical statistics. Theoretical and practical results: proposed a scheme of distribution of internal leaks fluid in gear pump; developed a method of calculating the total amount of internal leakage of working fluid; the work presented in the form of calculation method of internal leakage of fluid and recommendations for the design, transferred to the PSC " Hydrosila" (Kirovograd); the results of research have been implemented in the learning process in Kirovograd National Technical University. Scientific innovation: first proposed to divide the internal leakage of the working fluid through the end clearance of gear pump into separate components; the first time the physical and mathematical model of the motion of the working fluid through the radial clearance, end up center and the end gap in the transition zone of gear pump were developed; improved physical and mathematical model of the process end radially directed fluid leaks in gear pump. Extent of introduction: department of maintenance and repair of machines KNTU, PSC "Hydrosila", Kirovograd. Sphere of the use: production of gear pumps.