Generalization of Experimental Elasticity of Cavitation Bubbles in LRE Pumps that Differ Significantly in Size and Performance

Authors

DOI:

https://doi.org/10.15407/scine19.05.071

Keywords:

liquid rocket engine, POGO-oscillations, cavitating pump, frequency of oscillations of cavitation bubbles, experimental and computational method, elasticity, volume and resistance of cavitation bubbles, and number of initial cavitation.

Abstract

Introduction. Consideration of cavitation phenomena in liquid rocket engine (LRE) pumps is necessary for determining the frequency characteristics of the engine, when calculating transient processes in propulsion systems during engine start-up and stop, and, especially, for addressing the problem of ensuring the stability of longitudinal oscillations of liquid rockets (POGO-oscillations).
Problem Statement. Currently, the theoretical determination of the characteristics of cavitation flows in LRE pumps has not been widespread because of extremely low accuracy. The disadvantage of the existing experimental and calculated dependences of elasticity, volume, and resistance of cavitation bubbles on the mode parameters is the limited range of cavitation numbers for which these dependences are reliable.
Purpose. The purpose of this research is to determine the elasticity, volume, and resistance of cavitation bubbles in LRE pumps in the whole range of existence of cavitation bubbles, based on the results of dynamic tests of 26 pumps that differ significantly in purpose, size, and performance.
Materials and Methods. The information and analytical method, the methods of the theory of oscillations, the impedance method, and the method of least squares have been used.
Results. It has been shown that the experimental values of the elasticity of cavitation bubbles for different pumps generally agree satisfactorily with each other. The dependence of the relative elasticity of cavitation bubbles on the number of cavitation and the flow coefficient has been approximated with the use of the formula that allows describing the cavitation phenomena in pumps in the entire range of existence of cavitation bubbles. Three types of deviations of experimental frequencies of oscillations from the natural frequencies of oscillations of fluid in a hydraulic system with a cavitating pump have been described. The first and second types of deviations are caused by the interaction of the fluid and the structure of the feed pipeline, while the third one is associated
with developed self-oscillations of cavitation bubbles.
Conclusions. Semi-empirical dependences of elasticity, volume, and resistance of cavitation bubbles in LRE pumps on the mode parameters in the entire range of existence of cavitation bubbles have been built.

Downloads

Download data is not yet available.

References

Pilipenko, V. V., Zadontsev, V. A., Natanzon, M. S. (1977). Cavitation oscillations and dynamics of hydraulic systems. Moscow [in Russian].

Shevyakov, A. A., Kalnin, V. M., Naumenkova, M. V., Dyatlov, V. G. (1978). Theory of Rocket Engine Automatic Control. Moscow [in Russian].

Natanzon, M. S. (1977). Longitudinal self-oscillations of a liquid rocket. Moscow [in Russian].

Pylypenko, O. V., Prokopchuk, O. O., Dolgopolov, S. I., Nikolayev, O. D., Khoriak, N. V., …, Polskykh, S. V. (2021). Mathe matical modeling of start-up transients at clustered propulsion system with POGO-suppressors for Cyclon-4M launch vehicle. Space Sci. & Technol., 27, 6(133), 3—15. https://doi.org/10.15407/knit2021.06.003

Pylypenko, O. V., Degtyarev, M. A., Nikolayev, O. D., Klimenko, D. V., Dolgopolov, S. I., …, Silkin, L. A. (2020). Providing of POGO stability of the Cyclone-4M launch vehicle. Space Sci. & Technol., 26, 4(125), 3—20. https://doi.org/10.15407/ knit2020.04.003

Ng, S. L., Brennen, C. E. (1978). Experiments on the Dynamic Behavior of Cavitating Pumps. ASME J. Fluids Eng., 100, 166—176. https://doi.org/10.1115/1.3448625

Brennen, C. E., Meissner, C., Lo, E. Y., Hoffman, G. S. (1982). Scale effects in the dynamic transfer functions for cavitating inducers. ASME J. Fluids Eng., 104, 428—433. https://doi.org/10.1115/1.3241875

Pilipenko, V. V. (1976). Experimental-calculation method for determining the elasticity and volume of cavitation cavities in inducer centrifugal pumps. Izv. Academy of Sciences of the USSR. Energy and transport, 3, 131—139 [in Russian].

Grigoriev, Yu. E., Pilipenko, V. V. (1980). Experimental and computational determination of the elasticity of cavitation bubbles in inducer centrifugal pumps in regimes with reverse flows. Dynamics of pumping systems. Kyiv. 37—46 [in Russian].

Pilipenko, V. V., Dolgopolov, S. I. (1998). Experimental and computational determination of the coefficients of the equation for the dynamics of cavitation cavities in inducer centrifugal pumps of various sizes. Technical mechanics, 8, 50—56 [in Russian].

Pilipenko, V. V., Dovgotko, N. I., Dolgopolov, S. I., Nikolayev, O. D., Serenko, V. A., Khoryak, N. V. (1999). Theoretical determination of the amplitudes of longitudinal oscillations of liquid launch vehicles. Space science and technology, 5, 1, 90—96 [in Russian]. https://doi.org/10.15407/knit1999.01.090

Pilipenko, V. V., Dovgotko, N. I., Nikolayev, O. D., Dolgopolov, S. I., Serenko, V. A., Khoryak, N. V. (2000). Theoretical determination of dynamic loads (longitudinal vibration accelerations) on the structure of a liquid-propellant rocket RS20 on the active part of the trajectory of flight. Technical mechanics, 1, 3—18 [in Russian].

Pilipenko, O. V., Prokopchuk, A. A., Dolgopolov, S. I., Khoryak, N. V., Nikolayev, O. D., Pisarenko, V. Yu., Kovalenko, V. N. (2017). Mathematical modeling and stability analysis of low-frequency processes in a marching rocket engine with staged combustion. Bulletin of engine building, 2, 34—42 [in Russian].

Dolgopolov, S. I., Nikolayev, O. D., Khoriak, N. V. (2021). Dynamic interaction between clustered liquid propellant rocket engines under their asynchronous start-ups. Propulsion and Power Research, 10(4), 347—359. https://doi.org/10. 1016/j.jppr.2021.12.001

Pylypenko, O. V., Dolgopolov, S. I., Khoriak, N. V., Nikolayev, O. D. (2021). Procedure for determining the effect of internal and external factors on the startup thrust spread of a liquid-propellant rocket engine. Technical mechanics, 4, 7—17 [in Ukrainian]. https://doi.org/10.15407/itm2021.04.007

Koptilyy, D., Marchan, R., Dolgopolov, S., Nikolayev, O. (2019). Mathematical modeling of transient processes during start-up of main liquid propellant engine under hot test conditions. 8th European Conference for Aeronautics and Space Sciences (1—4 July, Madrid), 15.

Zadontsev V. A. (1994). Experimental Study of LR Pump at Cavitation Autooscillations Regimes. Proceldings of Third China-Russia-Ukraine Symposium on Astronautical Science and Technology, XI AN China. (16—20 September), 285—287.

Zadontsev, V. A., Drozd, V. A., Dolgopolov, S. I., Grabovskaya, T. A. (2009). Autonomous Dynamic Tests of an InducerCentrifugal Pump of a Large-Scale LRE in the Mode of Cavitation Self-Oscillations. Aerospace engineering and technology, 9(66), 100—106 [in Russian].

Borovsky, B. I., Ershov, N. S., Ovsyannikov, B. V., Petrov, V. I., Chebaevsky, V. F., Shapiro, A. S. (1975). High-speed vane pumps. Moskow [in Russian].

Selifonov, V. S. (1972). Investigation of the dynamics of liquid-propellant rocket engine pumps in cavitation modes. Thesis … сand. tech. sciences [in Russian].

Zadontsev, V. A., Drozd, V. A., Dolgopolov, S. I., Grabovskaya T. A. (2010). Autonomous tests of the oxidizer pump of the sustainer engine of the mid-flight engine of the second stage of the launch vehicle “Zenith” in the modes of cavitation self-oscillations. Aerospace engineering and technology, 10(77), 89—93 [in Russian].

Ivanov, Ya. N. (2006). Experimental studies to identify effective means of suppressing cavitation self-oscillations in the propellant feed system of a liquid-propellant rocket engine. Bulletin of the Samara State Aerospace University S. P. Koroleva, 2, 357—360 [in Russian].

Zhulay, Yu. A. (2006). Dynamic tests of a inducer centrifugal pump in the mode of cavitation self-oscillations. Bulletin of engine building, 3, 141—145 [in Russian].

Ershov, N. S. (1980). Experimental study of cavitation self-oscillations of a pumping system. Dynamics of pumping systems, 3—9 [in Russian].

Dovgotko, N. I. (1980). On one case of studying the stability of the system inducer centrifugal pump — pipelines in relation to cavitation self-oscillations. Dynamics of pumping systems, 9—14 [in Russian].

Drozd, V. A., Zadontsev, V. A., Khodursky, V. E. (1986). Experimental determination of the natural frequency and decrement of fluid oscillations in the system feedline — LRE pump. Technical mechanics of rocket and space systems, 1, 90—96 [in Russian].

Natanzon, M. S., Baltsev, N. I., Bazhanov, V. V., Leidervarger, M. R. (1973). Experimental studies of cavitation oscillations of inducer centrifugal pump. Izv. Academy of Sciences of the USSR. Energy and transport, 2, 151—157 [in Russian].

Shakutina, L. G. (1971). Influence of partial cavitation in the inducer on the dynamic properties of the pump and LRE in the low frequency range. Thesis … cand. tech. sciences. [in Russian].

Chebaevsky, V. F., Petrov, V. I. (1973). Cavitation characteristics of high-speed inducercentrifugal pumps. Moscow [in Russian].

Dolgopolov, S. I. (2007). Generalization of experimental pressure stall of cavitating inducer-centrifugal pumps of liquid-propellant rocket engines. Space technology. Rocket weapons, State Enterprise Yuzhnoye Design Bureau, 1, 98—108 [in Russian].

Dolgopolov, S. I. (1995). Generalized experimental-calculated coefficient of fluid inertial resistance caused by reverse flows at the inlet to a centrifugal inducer pump. Tech. Mechanics, 4, 99—103 [in Russian].

Dolgopolov, S. I. (2014). Semi-empirical method for determining the coefficient of fluid inertial resistance of a caused by reverse flows at the inlet to a centrifugal inducer pump. Technical mechanics, 2, 36—42 [in Russian].

Davis, R. E., Coons, L. L., Scheer, D. D. (1972). Internal Streamline Flow Analysis for Turbopump Inducers under Cavitating and Noncavitating Conditions. J. Spacecraft., 9, 2, 116—122. https://doi.org/10.2514/3.61638

Petrov, V. I., Chebaevsky, V. F. (1982). Cavitation in high-speed vane pumps. Moscow [in Russian].

Ershov, N. S., Selifonov, V. S., Chervakov, V. V. (1981). To the problem of determining the compliance of cavitation zones in a pump. Izv. universities. Aviation technology, 3, 48—53 [in Russian].

Dolgopolov, S. I. (2012). Influence of the pressure pipeline of the cavitating pump on the joint longitudinal vibrations of the feedline structure and liquid. Technical mechanics, 1, 56—62 [in Russian].

Shimura, T. (1995). Geometry-Effects in the Dynamic Response of Cavitating LE-7 Liquid-Oxygen Pump. AIAA J. Propulsion and Power, 11, 2, 330—336. https://doi.org/10.2514/3.51429

Dolgopolov, S. I. (2020). Mathematical simulation of choking under self-oscillations in hydraulic systems with cavitating pumps of liquid-propellant rocket engines. Technical mechanics, 4, 35—42 [in Ukrainian]. https://doi.org/10.15407/itm2020.04.035

Downloads

Published

2023-10-20

How to Cite

DOLGOPOLOV, S. (2023). Generalization of Experimental Elasticity of Cavitation Bubbles in LRE Pumps that Differ Significantly in Size and Performance. Science and Innovation, 19(5), 71–88. https://doi.org/10.15407/scine19.05.071

Issue

Section

Scientific and Technical Innovation Projects of the National Academy of Sciences