We propose a solution to the problem of calculating the coefficients of the radial and angular forces in a groove seal (with the use of a refined model of a smooth groove seal) as functions of two independent variables, the eccentricity of the rotor and the angle of misalignment of the rotor axis in the seal. Unsteady turbulent flow of a viscous incompressible fluid in the channel of the seal, due to both the axial pressure drop in the seal and the nature of the travel of the inner channel wall, is investigated. The problem is solved under the assumption of small radial and angular displacements of the shaft. The coefficients for forces determined by the angular misalignments of the rotor are obtained here for the first time.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D. V. Grokhovskii, Dynamics of Multi-stage Centrifugal Pumps. Survey Information. Ser. XM-4 [in Russian], TsINTIkhimneftemam, Moscow (1990).
V. A. Martsinkovskii, Contactless Seals of Rotor Machines [in Russian], Mashinostroenie, Moscow (1980).
V. A. Martsinkovskiy and P. N. Vorona, Pumps of Nuclear Power Plants [in Russian], Energoatomizdat, Moscow (1987).
V. A. Martsinkovskii, Vibrations of Rotors of Centrifugal Machines (Two Volumes). Book 1. Hydrodynamics of Constricting Channels [in Russian], Izd-vo SumDu, Suma (2002).
A. N. Gulyy, Development of Experimental and Theoretical Methods for the Analysis of the Dynamic Parameters of a Contactless Seal [in Russian], Dissertation for the Degree of Candidate of Technical Sciences, Suma (1989).
I. N. Bela, Development of a Refined Model and Investigation of the Dynamic Characteristics of a Rotor – Groove Seal System [in Russian], Dissertation for the Degree of Candidate of Technical Sciences, Moscow (1992).
D. W. Childs and G. B. Dressman, “Convergent-tapered annular seals: analysis coefficients,” J. Tribology,107, No. 3, 307–317 (1985).
C. C. Nelson, “Rotordynamic coefficients for compressible flow in tapered annular seals,” J. Tribology,107, No. 3, 318–325 (1985).
A. Z. Serp, “Certain trends in the development of the theory of Reynolds lubrication,” in: Tr. Amer. Obsch. Inzhen. – Mekhanikov. Seriya: Probl. Treniya i Smazki (Proc. Amer. Soc. Mechanical Engineers. Ser.: Problems in Friction and Lubrication), No. 1, 21–39 (1987).
S. A. Goroviy, “Hydraulic estimation of the force moments of a fissured solid,” Visn. SNAU. Ser. Mekhanizatsiya ta Avtomat. Vyrob. Protsesiv, No. 10 (32), 20–23 (2017).
S. A. Gorovoi, “Hydrodynamic calculation of bearing–seal assemblies of centrifugal pump with self-adjusting rotor,” Chem. and Petroleum Eng., No. 53, 171–175 (2017).
S. A. Gorovoi, “Bench testing of a pump with self-adjusting impeller,” Chem. and Petroleum Eng., No. 55, 149–157 (2019).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Khimicheskoe i Neftegazovoe Mashinostroenie, Vol. 56, No. 3, pp. 24−28, March 2020.
Rights and permissions
About this article
Cite this article
Gorovoi, S.A., Golovchenko, G.S. Refined Model of a Groove Seal and Calculation of Angular Hydrodynamic Force Coefficients. Chem Petrol Eng 56, 205–214 (2020). https://doi.org/10.1007/s10556-020-00760-5
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10556-020-00760-5