Development of Theoretical Model to calculate Steam Hammer Force on Shock Absorber in Multi Series Pipeline

Document Type : Research Article

Author

Department of Mechanical Engineering, Sanandaj Branch, Islamic Azad University, Sanandaj, Iran

Abstract

This research work allocates to physical models in order to simulate real world results of the steam hammer at turbine multi-series pipeline in power plants. The aim of this study is to investigate the effect of a steam hammer on a steam turbine line and calculation the force on the shock absorber at the end of the main pipeline. For this purpose, the new theoretical model based on thermodynamic relationships and accurate calculation of wave speed propagation was developed and implemented into the physical model. The main achievement of this research is to present a simple and accurate theoretical model that can provide a bridge between hydro-mechanical data and estimates the impact force of the steam hammer on piping with less computational effort than finite element and a less costly setup than experimental models. The method of characteristics as a complement to the theoretical model was applied and compared. In this work, special attention is devoted to the study of the most relevant process parameters, with emphasis on their meaning, effects, and mutual interaction. The present paper organizes a theoretical model and numerical method of characteristics to predict steam hammer transients behavior in a multi-series pipeline. The initial results are promising and indicate the possibility of using the proposed simple yet, but efficient theoretical model than finite element models in terms of quality, cost, and time consumption of producing results.

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[1] J. Korteweg, Ueber die Fortpflanzungsgeschwindigkeit des Schalles in elastischen Röhren (On the transmission of sound by fluids enclosed in tubes with elastic walls); Ann. der Physik and Chemie, (1878) 525-542.
[2]   H.L.F. Helmholtz, von, Bericht über die theoretische Akustik betreffenden Arbeiten vom Jahre, In: Die Fortschritte der Physik, Berlin,  4 (1848)101-118.
[3]   D. Ferras, P.A. Manso, A.J. Schleiss, D.I.C. Covas, One-Dimensional Fluid–Structure Interaction Models in Pressurized Fluid-Filled Pipes: A Review, Applied Sciences, 8(10) (2018) 1844.
[4]   M.S. Ghidaoui, M. Zhao, D.A. McInnis, D.H. Axworthy, A Review of Water Hammer Theory and Practice, Applied Mechanics Reviews, 58(1) (2005) 49-76.
[5]   A.H. Bayoumy, A. Papadopoulos, Time History Steam Hammer Analysis for Critical Hot Lines in Thermal Power Plants, ASME 2014 International Mechanical Engineering Congress and Exposition, (2014).
[6]   H. Cao, M. Mohareb, I. Nistor, Partitioned water hammer modeling using the block Gaus“ Seidel algorithm, Journal of Fluids and Structures, 103 (2021) 103260.
[7]   H. Cao, M. Mohareb, I. Nistor, Finite element for the dynamic analysis of pipes subjected to water hammer, Journal of Fluids and Structures, 93 (2020) 102845.
[8]   D. Chong¸ W.  Liu¸ Q. Zhao¸ J.¸ Yan ¸ T. Hibiki, Oscillation characteristics of periodic condensation induced water hammer with steam discharged through a horizontal pipe. International Journal of Heat and Mass Transfer, 173(2021) 121265.
[9]   T. Q. D. Pham¸ S. Choi¸ Numerical analysis of direct contact condensation-induced water hammering effect using Open FOAM in realistic steam pipes. International Journal of Heat and Mass Transfer, 171(2021) 121099.
[10] S. Henclik¸ Application of the shock response spectrum method to severity assessment of water hammer loads. Mechanical Systems and Signal Processing, 157(2021) 107649.
[11] N. E. Joukowski¸  On the hydraulic hammer in water supply pipes.  ‘‘Memoirs of the Imperial Academy Society of St. Petersburg¸’’ 9(5) (Russian translated by O Simin 1904)¸ Proc. Amer. Water Works Assoc, 24 (1898) 341–424.
[12] M.H. Chaudhry¸ Applied hydraulic transients. ¸ 3rd ed. , Springer New York, (2014).
[13] IAPWS, Revised release on the IAPWS industrial formulation 1997 for the thermodynamic properties of water and steam¸ IAPWS R7-97(2012), The International Association for the Properties of Water and Steam¸ Switzerland, (2007).
[14]   C. M. Harris¸ A. G. Piersol¸ Shock and Vibration Handbook¸ 6rd ed. ,McGraw Hill¸ New York¸ (2002).
[15] A. T.¸ Hadjian¸ H. T. Tang¸ Identification of the Significant Parameters Affecting Damping in Piping Systems, 1rd ed. , American Society of Mechanical Engineers¸ New York, (1986).
[16] J. Carlson,  Water Hammer Phenomenon Analysis using the Method of Characteristics and Direct Measurements using a "stripped" Electromagnetic Flow Meter, Published Thesis, Division of Nuclear Reactor Technology, Department of Physics, Royal Institute of Technology, Stockholm, Sweden, (2016).
[17] R. A. Leishear, Fluid Mechanics, Water Hammer, Dynamic Stresses, and Piping Design, 1rd ed.,  Savannah River National Laboratory, ASME, 3 Park Avenue, New York, (2012).