Investigation of the regime and geometric parameters influence on single-stage ultralow power axial turbine volume and mass

Аuthors

Grigor'ev V. A.^*, Kalabuhov D. S.^**, Radko V. M.^***

Samara National Research University named after Academician S.P. Korolev, 34, Moskovskoye shosse, Samara, 443086, Russia

*e-mail: grigva47@gmail.com
**e-mail: dskalabuhov@gmail.com
***e-mail: zpov@yandex.ru

Abstract

Object and purpose of the study

A promising way is to increase the efficiency of the turbine drives the optimization of geometrical and operational parameters of ultralow power turbines (ULPT) by solving the optimization problem. Optimization problem have to be solved in multi-criteria setting, with the turbine drive mass as one of the most important criteria for evaluating the turbine drive effectiveness. In the open scientific literature any information on the mathematical model of ULPT mass is absent. In this paper, as the object of study a single-stage axial ultralow power turbine (AULPT) is considered.

Methodology

The authors of this article in their work showed the need to build models of the mass as a function of the main influencing factors non-dimensional geometrical and operational parameters of ULPT. The proposed mathematical mass model is based on the preliminary determination of the turbine volume. In this case, for the turbine model the schematic image of the turbine, which is an assumption by numerical and analytical methods is taken. The model is only partially analytical, because the expressions for the determination of areas blade profile data are compiled by computer simulation.

Findings

Mathematical model of the mass was used in the analysis of the influence of geometrical and operational 

Scheme of single-stage AULPT

parameters on the axial turbine mass, the details of which are made of steel D-16T with density = 2800 kg/m³. The analysis revealed that the most significant effect on the mass factors are the scale factor the relative diameter ̄D_M= D_m/ 0,05 [m] , aspect ratio of nozzle vanes to the average diameter h_N/D_m and elongation of the blade (s/h)_N. For example, increases of ̄D_M with the value of 0.6 to 2 can lead to an increase in mass of 15, while the increase of h_N/D_m from 0.01 to 0.05 increases the mass by about 3 times.

Specified mathematical models of volume and mass are not very convenient to analyze the simultaneously influence of several turbine parameters and for further optimization of these parameters according to the criteria of volume and mass. Therefore, by statistical analysis of volume of 100 experiments specially developed experiment plan the regression expressions in the form of quadratic polynomials were obtained. Statistically significant coefficients of the model were only factors h_N/D_m , (s/h)_N , ̄D_M and the degree of partiality ε. Within the range of variation of other factors mass varies by no more than 5%, which allows the designer to be more free to choose the parameters of blade rims.

Originality/value

The developed mathematical model of mass can be used for solving the multi-criteria optimization of AULPT parameters.

Keywords:

ultralow power turbine, the model of mass, influencing factors, optimized parameters

References

1. Grigorev V.A., Radko V.M., Kalabukhov D.S. Materialy Mezhdunarodnoi nauchno-tekhnicheskoi konferentsii «Problemy i perspektivy razvitiya dvigatelestroeniya», Samara, 2011, part 1, pp. 42-43.
2. Grigorev V.A., Radko V.M., Kalabukhov D.S. Vestnik Samarskogo gosudarstvennogo aerokosmicheskogo universiteta, 2011, no. 6, pp. 81-91.
3. Grigorev V.A., Radko V.M., Kalabukhov D.S. Vestnik Samarskogo gosudarstvennogo aerokosmicheskogo universiteta, 2011, no. 6, pp. 92-106.
4. Deich M.E., Fillippov G.A., Lazarev L.Ya. Atlas profilei reshetok osevykh turbin (Atlas profiles of axial turbines lattices), Moscow, Mashinostroenie, 1965, 96 p.
5. Ovsyannikov B.V., Borovskii B.I. Teoriya i raschet agregatov pitaniya zhidkostnykh raketnykh dvigatelei (Theory and calculation of aggregates supply of liquid rocket engines), Moscow, Mashinostroenie, 1986, 376 р.