Similarity theory methods application for lpre steady-flow working procedures analysis

Aeronautical and Space-Rocket Engineering

Thermal engines, electric propulsion and power plants for flying vehicles


Аuthors

Kamenskii S. S.1*, Martirosov D. S.2**, Kolomentsev A. I.2***

1. NPO Energomash named after academician V.P. Glushko, 1, Burdenko str., Khimki, 141400, Russia
2. Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: sskam2009@yandex.ru
**e-mail: mrtsv@mail.ru
***e-mail: a.i.kolomentsev@yandex.ru

Abstract

This work aims at searching similarity of RD170 engines family steady-flow operating procedures. We shall use generalizing functions describing interrelations of operating procedures parameters and valid for RD171M, RD180 and RD1971 for the formal description of the found similarity.

This work offers the reduction procedure of tests data to dimensionless form and defines the type and characteristics of the desired generalizing functions, i.e. dimensionless parameters dependencies on thrust level, which are common for all engines under consideration.

According to similarity theory, the propinquity of the equations describing behavior of dimensionless characteristics of the compared objects points to physical similarity of the processes described by these equations. Thus, obtaining the generalizing dependences reflects physical similarity of steady-flow operating procedures in structurally successive engines of RD170 family.

Based on the generalizing functions derived from the analysis of the results of fire tests by similarity theory methods, we developed an algorithm of parameters determination of multimode LPREs of RD170 family, allowing calculate their values in wide range of thrust variations according to known rated values of slow parameters (SP). The obtained results show that generalizing functions can find application for SP calculation in an infant state of LPRE of RD170 family design, when mathematical model is not correct enough, and the first experimental materials can form the basis for adequately predictive estimate.

The paper shows the possibility of using the results of presented work as references of normal functioning for solving the problems of function tests. The presented results of proposed method for firing test real time analysis within the space of which a throttle failure occured, confirmed the presence of such kind of failure.

Keywords:

similarity theory, results of LPRE firingt test, functional diagnostics

References

  1. Chkhaidze N.H. Metod podobiya i matematicheskoe modelirovanie v issledovanii slozhnykh system (A method of similarity and mathematical modeling in research of complex systems), Tbilisi, Tekhnicheskii universitet, 2009, 192 p.

  2. Gukhman A.A. Vvedenie v teoriyu podobiya (Introduction to the similarity theory), Moscow, LKI, 2010, 296 p.

  3. Nazarov V.P., Yatsunenko V.G., Kolomentsev A.I. Vestnik Moskovskogo aviatsionnogo institutа, 2014, vol. 21, no. 5, pp. 101-105.

mai.ru — informational site of MAI

Copyright © 1994-2024 by MAI