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Effects of Inlet-Loss Coefficient on Dynamic Coefficients and Stability of Multistage Pump Annular Seal

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Abstract

In order to explore the influence of inlet-loss coefficient on dynamic coefficients and stability of finite-length annular seal, and then to provide theoretical basis for multistage pump rotor system vibration and stability, the bulk-flow model is taken into account to model the fluid control equations of clearance flow, and perturbation method is applied to calculate the first-order functions and dynamic coefficients. The calculated results are validated by comparing them with reference results, and the minimum and maximum error percentage are 1.4 and 5.6%, respectively. The dynamic coefficients change rule and stability of annular seal under the multifactor-coupled effects are researched in a detailed manner. The numerical results show that the inlet-loss coefficient plays an important role in dynamic coefficients of finite-length annular seal, especially for direct stiffness. All of the dynamic coefficients increase with the increase in inlet-loss coefficient, and the growth trends are the most distinct for large length–diameter ratio, small clearance or high rotating speed. Moreover, reducing the inlet-loss coefficient can improve the stability of annular seal. The research results and conclusions can provide references for the structure design of multistage pump and optimal design of rotor system.

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References

  • Banakh L, Nikiforov A (2007) Vibroimpact regimes and stability of system “rotor—sealing ring”. J Sound Vib 308(3):785–793

    Article  Google Scholar 

  • Baskharone EA, Daniel AS, Hensel SJ (1994) Rotordynamic effects of the shroud-to-housing leakage flow in centrifugal pumps. J Fluids Eng 116(3):558–563

    Article  Google Scholar 

  • Black HF (1971) Effects of high-pressure ring seals on pump rotor vibrations. Fluid Eng Div 184(3):92–100

    Google Scholar 

  • Black HF (1974) Calculation of forced whirling and stability of pump rotor vibrations. J Manuf Sci Eng 96(3):1076–1081

    Google Scholar 

  • Childs DW (1983) Finite-length solutions for rotordynamic coefficients of turbulent annular seals. J Tribol 105(3):437–444

    Google Scholar 

  • Duan W, Chu F, Kim CH et al (2007) A bulk-flow analysis of static and dynamic characteristics of floating ring seals. Tribol Int 40(3):470–478

    Article  Google Scholar 

  • Ha TW, Choe BS (2012) Numerical simulation of rotordynamic coefficients for eccentric annular-type-plain-pump seal using CFD analysis. J Mech Sci Technol 26(4):1043–1048

    Article  Google Scholar 

  • Ha TW, Choe BS (2014) Numerical prediction of rotordynamic coefficients for an annular-type plain-gas seal using 3D CFD analysis. J Mech Sci Technol 28(2):505–511

    Article  Google Scholar 

  • Ha TW, Lee YB, Kim CH (2002) Leakage and rotordynamic analysis of a high pressure floating ring seal in the turbo pump unit of a liquid rocket engine. Tribol Int 35(3):153–161

    Article  Google Scholar 

  • Hua J, Swaddiwudhipong S, Liu ZS et al (2005) Numerical analysis of nonlinear rotor–seal system. J Sound Vib 283(3):525–542

    Article  Google Scholar 

  • Jenssen DN (1970) Dynamics of rotors systems embodying high pressure ring seals. Heriot-Watt Univ, Edinburgh

    Google Scholar 

  • Jiang Q, Zhai L, Wang L et al (2013) Fluid–structure interaction analysis of annular seals and rotor systems in multi-stage pumps. J Mech Sci Technol 27(7):1893–1902

    Article  Google Scholar 

  • Kerr BG (2005) Experimental and theoretical rotordynamic coefficients and leakage of straight smooth annular gas seals. Texas A&M University, College Station

    Google Scholar 

  • Leqin W, Wenjie Z, Guikun X et al (2013) Dynamic coefficients of small cone-shaped annular seal rotor. J Drain Irrig Mach Eng 31(6):517–522

    Google Scholar 

  • Lomakin AA (1958) Calculating of critical speed and securing of dynamic stability of high pressure pumps with reference to forces arising in seal gaps. Energomashinostroenic 4(1):1158–1162

    Google Scholar 

  • Lulu Z, Chaohua G, Daqing Q et al (2014) Studies of exit pressure recovery coefficient and its effects on dynamic characteristics of annular water seals. J Vibroeng 16(5):2406–2417

    Google Scholar 

  • Megerle B, Rice TS, McBean I et al (2013) Numerical and experimental investigation of the aerodynamic excitation of a model low-pressure steam turbine stage operating under low volume flow. J Eng Gas Turbines Power 135(1):012602

    Article  Google Scholar 

  • Nelson CC, Nguyen DT (1988a) Analysis of eccentric annular incompressible seals: part 1—a new solution using fast Fourier transforms for determining hydrodynamic force. J Tribol 110(2):354–359

    Article  Google Scholar 

  • Nelson CC, Nguyen DT (1988b) Analysis of eccentric annular incompressible seals: part 2—effects of eccentricity on rotordynamic coefficients. J Tribol 110(2):361–366

    Article  Google Scholar 

  • Untaroiu A, Hayrapetian V, Untaroiu CD et al (2013) On the dynamic properties of pump liquid seals. J Fluids Eng 135(5):051104

    Article  Google Scholar 

  • Wang WZ, Liu YZ, Meng G et al (2009) Nonlinear analysis of orbital motion of a rotor subject to leakage air flow through an interlocking seal. J Fluids Struct 25(5):751–765

    Article  Google Scholar 

  • Wang L, Zhou W, Wei X et al (2016) A coupling vibration model of multi-stage pump rotor system based on FEM. Mechanics 22(1):31–37

    Article  Google Scholar 

  • Zhai L, Wu G, Wei X et al (2015) Theoretical and experimental analysis for leakage rate and dynamic characteristics of herringbone-grooved liquid seals. Proc Inst Mech Eng Part J J Eng Tribol 229(7):849–860

    Article  Google Scholar 

  • Zhou W, Wei X, Wei X et al (2014a) Numerical analysis of a nonlinear double disc rotor-seal system. J Zhejiang Univ Sci A 15(1):39–52

    Article  MathSciNet  Google Scholar 

  • Zhou W, Wei X, Zhai L et al (2014b) Nonlinear characteristics and stability optimization of rotor–seal–bearing system. J Vibroeng 16(2):818–831

    Google Scholar 

Download references

Acknowledgement

We acknowledge the financial support from the National Natural Science Foundation of China (No. 51479167) and (No. 51339005).

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Correspondence to Guangkuan Wu.

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Wu, G., Feng, J. & Luo, X. Effects of Inlet-Loss Coefficient on Dynamic Coefficients and Stability of Multistage Pump Annular Seal. Iran J Sci Technol Trans Mech Eng 43, 719–727 (2019). https://doi.org/10.1007/s40997-018-0226-1

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  • DOI: https://doi.org/10.1007/s40997-018-0226-1

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