Abstract
Using the finite volume method, the problem of a three-dimensional fluid flow through a three-shaft seal of a high pressure centrifugal pump at different values of radial shaft displacements has been solved. Numerical calculations were carried out without taking into account deformation of seals under the influence of uneven pressure distribution. Pressure distributions, leakage values and hydrodynamic radial forces were obtained depending on the magnitude of the eccentricity. As a result of numerical calculations, the dependences of the radial forces on the radial shaft displacement were constructed and the hydrostatic stiffness coefficient was determined. These dependencies were also obtained using analytical equations. The obtained numerical results differ from the theoretical ones less than 5%. It should also be noted that the application of the three-gap seal significantly reduces leakage compared to homogeneous and double-layer seals, as well as increases the radial force stiffness, which in its turn provides a low level of rotor vibration.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Martsynkovskyy V.A.: Annular seals: theory and practice. Sumy State University, Sumy (2005)
Martsynkovskyy, V.A., Pozovnyi, O.O.: The impact of the multi-gap seals on rotor dynamics. J. Eng. Sci. 4(1), C7–C12 (2017)
Tarasewych, Y., Savchenko, I., Sovenko, N., Savchenko, A.: Research of influence of random change of annular seal parameters on efficiency of centrifugal pump. East. Eur. J. Enterp. Technol. 6(7–84), 37–42 (2016)
Pavlenko, I.: Static and dynamic analysis of the closing rotor balancing device of the multistage centrifugal pump. App. Mech. Mater. 630, 248–254 (2014)
Li, W., Yang, Y., Sheng, D., Chen, J.: A novel nonlinear model of rotor/bearing/seal system and numerical analysis. Mech. Mach. Theory 46(5), 618–631 (2011)
Martsynkovskyy, V.A.: Hydrodynamics and Resistence Of Centrifugal Pumps. Engineering, Moscow (1970)
Martsynkovskyy V.: Dynamics of a Centrifugal Pump Rotors. Sumy State University, Sumy (2012)
Bedher F.S., Lomakin A.A.: Determination of the Critical Number of Revolutions of the Pump Rotor Taking into Account the Forces that Arise in the Seals. Steam and gas turbine construction, Moscow (1957)
Beda, A., Simonowsky, V.: Analysis of a nonlinear elastic force in a relatively long annular seal and its impact on the dynamics of the rotor. App. Mech. Mater. 630, 240–247 (2014)
Martsinkovsky, V., Yurko, V., Tarelnik, V., Filonenko, Y.: Designing radial sliding bearing equipped with hydrostatically suspended pads. Procedia Eng. 39, 157–167 (2012)
Korczak, A., Martsynkovskyy, V., Gudkov, S.: Estimating influence of inertial resistance of throttle for hydraulic balancing device on rotor axial vibration. Procedia Eng. 39, 261–274 (2012)
Martsynkovskyy, V., Zhulov, O., Kundera, C.: Analysis of the radial-axial oscillations of the rotor of a high-speed pump. App. Mech. Mater. 630, 341–349 (2014)
Martsynkovskyy, V.A.: Deineka,A., Kovalenko, V.: Evaluation of rotor axial vibrations in a turbo pump unit equipped with an automatic unloading machine. In: IOP Conference Series: Materials Science and Engineering vol. 233(1), paper № 012057 (2017)
Kozdera, M., Bojko, M., Drábková, S., Kozubková, M.: Studying the interaction of liquid and solid in the flow of liquid in annulus by CFD analysis. App. Mech. Mater. 630, 220–227 (2014)
Bojko, M., Kozubkova, M., Kozdera, M., Zavila, O.: Investigation of the influence of radial grooves on the flow in an eccentrically deposited annulus using CFD numerical simulation. In: EPJ Web of Conferences, vol. 67, pp. 02009 (2014)
Vijaykumar, A., Morrison, G.: Numerical simulation of the flow field in a statically and dynamically eccentric annular seal with non-circular whirl orbits. In: American Society of Mechanical Engineers, Fluids Engineering Division, pp. 731–761(2010)
Pugachev, A.O.: CFD optimization of liquid annular seals for leakage and rotordynamics improvement. In: Proceedings of the ASME Turbo Expo, vol. 6, pp. 657–667 (2009)
Wang J., Shen H.P., Ye X.Y., Hu J.N., Feng Y.N.: The influence of annular seal clearance to the critical speed of the multistage pump. In: IOP Conference Series: Materials Science and Engineering, vol. 52, pp. 022034 (2013)
Bojko, M., Kozdera, M., Kozubkova, M.: Investigation of viscous fluid flow in an eccentrically deposited annulus using CFD methods. In: EPJ Web of Conferences, vol. 45, pp. 01115 (2013)
Ha, T.W., Choe, B.S.: Numerical simulation of rotordynamic coefficients for eccentric annular-type-plain-pump seal using CFD analysis. J. Mech. Sci. Technol. 26(4), 1043–1048 (2012)
Kim, S.H., Ha, T.W.: Prediction of leakage and rotordynamic coefficients for the circumferential-groove-pump seal using CFD analysis. J. Mech. Sci. Technol. 30(5), 2037–2043 (2016)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Pozovnyi, O., Deineka, A., Lisovenko, D. (2020). Calculation of Hydrostatic Forces of Multi-gap Seals and Its Dependence on Shaft Displacement. In: Ivanov, V., et al. Advances in Design, Simulation and Manufacturing II. DSMIE 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-22365-6_66
Download citation
DOI: https://doi.org/10.1007/978-3-030-22365-6_66
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-22364-9
Online ISBN: 978-3-030-22365-6
eBook Packages: EngineeringEngineering (R0)