Abstract
As explained in Chap. 5, the flow at the impeller outlet is non-uniform. The diffuser vanes or volute cutwaters are thus approached by an unsteady flow. The flow in the stator acts back on the velocity field in the impeller. The related phenomena are called “rotor/stator interaction” (RSI). As a consequence of the RSI, hydraulic excitation forces are generated. These give rise to pressure pulsations, mechanical vibrations and alternating stresses in various pump components. The vibrations transmitted to the foundations spread as solid-borne noise throughout the building. The pressure pulsations excite the pump casing to vibrations. They travel as fluid-borne noise through the piping system, where they generate vibrations of the pipe walls. The vibrating walls and structures radiate air-borne noise.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Examples for the influence of the system on pressure pulsations can be found in [B.20]. The topic is discussed in more detail also in Chap. 10.12.3.
- 2.
The measurement is done according to DIN 45635, [N.19] and ISO standards.
- 3.
As per [N.25] high-energy pumps are defined as pumps whose heads per stage exceeds. \( \frac{{{\text{H}}_{\text{st,opt}} }}{{{\text{H}}_{\text{Ref}} }} > 275\left( {\frac{{{\text{n}}_{\text{q,Ref}} }}{{{\text{n}}_{\text{q}} }}} \right)^{1.85} \left( {\frac{{\uprho_{\text{Ref}} }}{\uprho}} \right)\quad {\text{with}}\,{\text{n}}_{\text{q,Ref}} = 25,{\text{H}}_{\text{Ref}} = 1{\text{m}}\,{\text{and}}\,\uprho_{\text{Ref}} = 100 0\,{\text{kg/m}}^{ 3} \). The formula is valid for 25 < nq < 67. Below nq = 25 the limit is Hst,opt = 275 m; no limits are defined for the range above nq = 67. The topic is discussed in more detail in Chap. 15.4 where three quality classes are defined.
- 4.
The definition of the total head ψtot is analogous to Eq. (8.9).
- 5.
It may be noted that the tests in [125] were done under conditions which are not representative for high-head pumps which should not be designed with d3* = 1.01, vane combinations leading to m = 1 and usually are not required to operate at flows as high as q* > 1.5.
- 6.
The dimensionless time is defined by t* = t × fn.
- 7.
An example for this type of damping is given in [86]: The investigated system of a burner and fan was susceptible to self-excited vibrations below a specific flow rate. When testing fans with differently steep characteristics, the stable operation range increased with the steepness of the Q-H-curve.
- 8.
- 9.
This section is largely based on information given in [89].
- 10.
The possible interaction between acoustic waves and unsteady flow in a pump could be verified experimentally by generating pressure pulsations in a system by means of a device (e.g. piston or spark) and measuring their impact on the flow patterns in the diffuser and impeller (e.g. by laser velocimetry).
- 11.
If the excitation mechanism were caused by unbalanced mass forces, the mechanical vibration would be out of phase with the excitation.
References
Adams, M.L.: Rotating Machinery Vibration. Marcel Dekker Inc (2001)
Alford, J.S.: Protecting turbomachinery from self-excited rotor whirl. ASME J. Eng. Power 87, 333–344 (1965)
Amoser, M.: Strömungsfelder und Radialkräfte an Labyrinthdichtungen hydraulischer Strömungsmaschinen. Diss. ETH. Nr. 11150 (1995)
Arndt, N., et al.: Unsteady diffuser vane pressure and impeller wake measurements in a centrifugal pump. In: Proceedings of 8th Conference on Turbomachinery, Budapest, pp. 49–56 (1987)
Au-Yang, M. K.: Flow-induced Vibrations of Power and Process Plant Components. Professional Engineering Publishing Ltd (2001)
Berten, S.: Hydrodynamics of high specific power pumps for off-design operating conditions. Dissertation, EPF, Lausanne (2010)
Berten, S., et al.: Experimental Investigation of Flow Instabilities and Rotating Stall in a High-Energy Centrifugal Pump Stage. ASME. FEDSM (2009)
Blevins, R.D.: Formulas for Natural Frequency and Mode Shape (Reissue). Krieger, Malabar (1995)
Blevins, R.D.: Flow-Induced Vibrations (Reprinted 2nd edn.). Krieger Publishing Company, Malabar (2001)
Bolleter, U.: On blade passage tones of centrifugal pumps. Vibrations 4(3), 8–13 (1988)
Bolleter, U.: Generation and propagation of pressure pulsations in centrifugal pump systems. In: AECL Seminar on Acoustic Pulsations in Rotating Machinery, Toronto (1993)
Bolleter, U., et al.: Hydraulic and mechanical interactions of feedpump systems. EPRI Report TR-100990 (Sept 1992)
Bolleter, U., et al.: Rotordynamic modeling and testing of boiler feedpumps. EPRI Report. TR-100980 (Sept 1992)
Braun, O.: Part load flow in radial centrifugal pumps. Dissertation, EPF Lausanne (2009)
Brennen, C.E.: Hydrodynamics of Pumps. Concepts ETI, Norwich (1994)
Casey, V.M., et al.: Flow analysis in a pump diffuser. Part 2: validation of a CFD code for steady flow. ASME FED 227, 135–143 (1995)
Chen, Y.N.: Wasserdruckschwingungen in Spiralgehäusen von Speicherpumpen. Techn Rundschau Sulzer. Forschungsheft, 21–34 (1961)
Chen, Y.N., Beurer, P.: Strömungserregte Schwingungen an Platten infolge Karman’scher Wirbelstraßen. Pumpentagung, Karlsruhe (K6) (1973)
Chen, Y.N., Florjancic, D.: Vortex-induced resonance in a pipe system due to branching. IMech C109/75 (1975)
Chen, Y.N., et al.: Reduction of vibrations in a centrifugal pump hydraulic system, pp. 78–84. IAHR Karlsruhe (1979)
Childs, D.: Turbomachinery Rotordynamics. Wiley, New York (1993)
Childs, D.W., et al.: Annular honeycomb seal test results for leakage and rotordynamic coefficients. ASME Paper. 88-Trib-35
Cooper, P., et al.: Minimum continuous stable flow in centrifugal pumps. In: Proceedings of Symposium Power Plant Pumps, New Orleans, 1987 EPRI CS-5857 (1988)
Corbo, M.A., Stearns, C.F.: Practical design against pump pulsations. In: Proceedings of 22nd International Pump Users Symposium, pp. 137–177. Texas A&M (2005)
Cremer, R., Heckl, M.: Körperschall, 2nd edn. Springer, Berlin (1995)
Deeprose, W.M., et al.: Current industrial pump and fan fluid-borne noise level prediction. IMechE Paper. C251/77 43–50 (1977)
Domm, U., Dernedde, R.: Über eine Auswahlregel für die Lauf- und Leitschaufelzahl von Kreiselpumpen. KSB. Techn. Ber. 9 (1964)
Dörfler, P., Sick, M., Coutu, A.: Flow-Induced Pulsation and Vibrations in Hydroelectric Machinery. Springer, London (2013)
Dubas, M.: Über die Erregung infolge der Periodizität von Turbomaschinen. Ing. Archiv. 54, 413–426 (1984)
Ehrich, F.F.: Handbook of Rotordynamics. McGraw Hill, New York (1992)
Ehrich, F.F., Childs, D.: Self-excited vibration in high-performance turbomachinery. Mech. Eng. 106, 66–79 (1984)
Europump Leitfaden: Geräuschemission bei Kreiselpumpen (2002)
Florjancic, D.: Entwicklung der Speisepumpen und grossen mehrstufigen Pumpen für die Wasserversorgung. Tech. Rev. Sulzer. 4, 241–254 (1973)
Florjancic, S.: Annular seals of high energy centrifugal pumps: a new theory and full scale measurement of rotordynamic coefficients and hydraulic friction factors. Dissertation, ETH Zürich (1990)
Försching, H.W.: Grundlagen der Aeroelastik. Springer, Berlin (1974)
Freese, H.D.: Querkräfte in axial durchströmten Drosselspalten. Pumpentagung, Karlsruhe (K6) (1978)
Gaffal, K.: Innovatives, umweltfreundliches und wirtschaftliches Speisepumpenkonzept erprobt. VGB Kraftwerkstech. 73, 223–230 (1993)
Graf, K.: Spaltströmungsbedingte Kräfte an berührungslosen Dichtungen von hydraulischen und thermischen Turbomaschinen. Dissertation, ETH Nr. 9319 (1991)
Greitzer, E.M.: The stability of pumping systems. ASME J. Fluids Eng. 103, 193–242 (1981)
Guinzburg, A.: Rotordynamic forces generated by discharge to suction leakage flows in centrifugal pumps. California Institute of Technology Report E249.14 (1992)
Gülich, J.F.: European Patent EP 0224764 B1 (1989)
Gülich, J.F., et al.: Pump vibrations excited by cavitation. In: IMechE Conference on Fluid Machinery, The Hague (1990)
Gülich, J.F., et al.: Rotor dynamic and thermal deformation tests of high-speed boiler feedpumps. EPRI Report GS-7405 (July 1991)
Gülich, J.F., Bolleter, U.: Pressure pulsations in centrifugal pumps. ASME J. Vibr. Acoust. 114, 272–279 (1992)
Guo, S., Maruta, Y.: Experimental investigation on pressure fluctuations and vibration of the impeller in a centrifugal pump with vaned diffusers. JSME In. J. 48(1), 136–143 (2005)
Hartlen, R.T., et al.: Dynamic interaction between pump and piping system. In: AECL Seminar on Acoustic Pulsations in Rotating Machinery, Toronto (1993)
Heckl, M., Müller, H.A.: Taschenbuch der Technischen Akustik. Springer, Berlin (1975)
Hergt, P., Krieger, P.: Radialkräfte in Leitradpumpen. KSB. Techn. Ber. 32–39 (1973)
Hergt, P., et al.: Fluid dynamics of slurry pump impellers. In: 8th International Conference Transport and Sedimentation of Solids, Prague, D2-1 (1995)
Höller, K.: In “25 Jahre ASTRÖ”. Aströ, Graz (1979)
Kaiser, T., Osman, R., Dickau, R.: Analysis guide for variable frequency drives operated centrifugal pumps. Proceedings of the 24th International Pump Users Symposium, Texas A&M, pp. 81–106 (2008)
Kanki, H., et al.: Experimental research on the hydraulic excitation force on the pump shaft. ASME Paper 81-DET-71
Kaupert, K.A.: Unsteady Flow Fields in a High Specific Speed Centrifugal Impeller. Dissertation, ETH, Zürich (1997)
Kollmann, F.G.: Maschinenakustik. Grundlagen, Meßtechnik, Beeinflussung. 2. Aufl. Springer, Berlin (2000)
Krieger, P.: Wechselwirkungen von Laufrad und Gehäuse einer Einschaufelpumpe am Modell der instationären Strömung. Forsch. Ing. Wes. 54(6), 169–180 (1988)
Kündig, P.: Gestufte Labyrinthdichtungen hydraulischer Maschinen. Experimentelle Untersuchung der Leckage, der Reibung und der stationären Kräfte. Dissertation, ETH. Nr. 10366 (1993)
Kurtze, G.: Physik und Technik der Lärmbekämpfung. Braun, Karlsruhe (1964)
Kwong, A.H.M., Dowling, A.P.: Unsteady flow in diffusers. ASME J. Fluids Eng. 116, 843–847 (1994)
Lucas, M.J., et al.: Handbook of the Acoustic Characteristics of Turbomachinery Cavities. ASME Press, New York (1997)
Luce, T.W., et al.: A numerical and LDV investigation of unsteady pressure fields in the vaneless space downstream of a centrifugal impeller. ASME FEDSM97-3327 (1997)
Makay, E., Barret, J.A.: Changes in hydraulic component geometries greatly increased power plant availability and reduced maintenance cost: case histories. In: Proceedings of the 1st International Pump Symposium, Houston (1984)
Marscher, W.D.: Subsynchronous vibration in boiler feedpumps due to stable response to hydraulic forces at part-load. In: Proceedings of IMechE, vol. 202, pp. 167–175 (1988)
Meschkat, S.: Experimentelle Untersuchung der Auswirkung instationärer Rotor-Stator-Wechselwirkungen auf das Betriebsverhalten einer Spiralgehäusepumpe. Dissertation, TU, Darm-stadt (2004)
Meschkat, S., Stoffel, B.: The local impeller head at different circumferential positions in a volute casing of a centrifugal pump in comparison to the characteristic of the impeller alone. In: 21st IAHR Symposium on Hydraulic Machinery and Systems, Lausanne (2002)
Naudascher, E., Rockwell, D.: Flow-Induced Vibrations. An Engineering Guide. Balkema, Rotterdam (1994)
Nordmann, R., et al.: Rotordynamic coefficients and leakage flow for smooth and grooved seals in turbopumps. In: Proceedings IFToMM Meeting, Tokyo (Sept 1986)
Offenhäuser, H.: Druckschwankungsmesssungen an Kreiselpumpen mit Leitrad. VDI. Ber. 193, 211–218 (1973)
Reinsch, K.H., Barutzki, F.: Erhöhung der Lebensdauer von Rohrleitungssystemen durch den Einsatz viskoser Dämpfer. Rohrleitungstechnik, 7. Auf., Vulkan-Verlag, Essen
Robinet, F., Gülich, J.F., Kaiser, T.: Vane pass vibrations—source, assessment and correction—a practical guide for centrifugal pumps. In: 16th International Pump Users Symposium, Houston, pp. 121–137 (1999)
Ross, D.: Mechanics of Underwater Noise. Pergamon Press (1976)
Rütten, F.: Large eddy simulation in 90°-pipe bend flows. J. Turbul. 2, 003 (2001)
Sano, T., et al.: Alternate blade stall and rotating stall in a vaned diffuser. JSME Int. Ser. B. 45(4), 810–819 (2002)
Schneider, K.: Das Verhalten von Kreiselpumpen beim Auftreten von Druckwellen. Dissertation, TU, Stuttgart (1986)
Schwartz, R., Nelson, R.: Acoustic resonance phenomena in high energy variable speed centrifugal pumps. In: 1st International Pump Symposium, Houston, pp. 23–28 (1984)
Spirig, M.: Einfluß der Kammerströmung auf die strömungsbedingten Kräfte im endlich langen Spalt einer hydraulischen Labyrinthdichtung. Dissertation, ETH. Nr. 13288 (1999)
Storace, A.F., et al.: Unsteady flow and whirl-inducing forces in axial-flow compressors. ASME J. Turbomach. 123, 433–445 (2001)
Storteig, E.: Dynamic characteristics and leakage performance of liquid annular seals in centrifugal pumps. Dissertation, MTA-00-137 TU, Trondheim (2000)
Strub, R.A.: Pressure fluctuations and fatigue stresses in storage pumps and pump turbines. ASME Paper No. 63-AHGT-11 (1963)
Sudo, S.: Pumping plant noise reduction. Hitachi Rev. 29(5), 217–222 (1980)
Tanaka, H.: Vibration behavior and dynamic stress of runners of very high head reversible pump-turbines. In: IAHR. Symposium, Belgrade, Beitrag U2 (1990)
Tsujimoto, Y., et al.: Observation of oscillating cavitation in an inducer. ASME J. Fluids. Eng. 119, 775–781 (1997)
Ubaldi, M., et al.: An experimental investigation of stator induced unsteadiness on centrifugal impeller outflow. ASME J. Turbomach. 118, 41–51 (1996)
Verhoeven, J.: Unsteady hydraulic forces in centrifugal pumps. IMechE Paper C348/88 (1988)
Warth, H.: Experimentelle Untersuchungen axial durchströmter Ringspalte von Hybridentlastungseinrichtungen. Dissertation, TU Kaiserslautern, SAM Forschungsbericht Bd. 2 (2000)
Weaver, D.S.: Interaction of fluid flow and acoustic fields. In: AECL Seminar on Acoustic Pulsations in Rotating Machinery, Toronto (1993)
Weber, M.: Geräusch- und pulsationsarme Verbrennungsluftgebläse und deren Einfluß auf selbsterregte Brennkammerschwingungen. Dissertation, TU Kaiserslautern, SAM Forschungsbericht Bd 7 (2002)
Yedidiah, S.: Oscillations at low NPSH caused by flow conditions in the suction pipe. ASME Cavitation and Multiphase Flow Forum (1974)
Yuasa, T., Hinata, T.: Fluctuating flow behind the impeller of a centrifugal pump. Bull. JSME 22(174), 1746–1753 (1979)
Ziada, S.: Flow-excited resonances of piping systems containing side-branches: excitation mechanism, counter-measures and design guidelines. In: AECL Seminar on acoustic pulsations in rotating machinery, Toronto (1993)
Parrondo, J., et al.: The effect of the operating point on the pressure fluctuations at BPF in the volute of a centrifugal pump. ASME JFE 124, 784–790 (2002)
Bolleter, U. et al.: Solution to cavitation-induced vibration problems in crude-oil pipeline pumps. In: 8th Pump Users Symposium, Texas A&M (1991)
ANSI/HI 9.8 Standard: Pump Intake Design (2012)
Rosenberger, H.: Experimental determination of the rotor impacts of axial pumps in intake structures under distorted approach flow. Thesis TU Kaiserslautern. SAM Forschungsbericht Bd 5 (2001)
Weinerth, J.: Kennlinienverhalten und Rotorbelastung von axialen Kühlwasserpumpen unter Betriebsbedingungen. Diss TU Kaiserslautern. SAM Forschungsbericht Bd 9 (2004)
Schiavello, B., Smith, D.R., Price, S.M.: Abnormal vertical pump suction recirculation problems due to pump-system interaction. In: 21st Pump Users Symposium, Houston, pp. 18–47 (2004)
Dupont, P. et al.: CFD analysis of sump flow and its impact on the hydraulic forces acting on the impeller of a vertical pump. In: Rotating Equipment Conference 2008, Düsseldorf
Krueger, S., et al.: Pump sump CFD for vertical pump. ASME FEDSM2009-78162
May, F.: Sulzer Technical Review 3/2015
Ohashi, H.: Influence of impeller and diffuser geometries on lateral fluid forces of whirling centrifugal pump impeller. NASA CP 3026, 285–322 (1988)
Van Esch, B.P.M.: Performance and radial loading of a mixed-flow pump under non-uniform approach flow. ASME JFE 131 (2009)
Untaroiu, A., et al: On the dynamic properties of pump liquid seals. ASME JFE 135 (2013)
Gülich, J.F.: Selection criteria for suction impellers of centrifugal pumps. World Pumps, Parts 1 to 3, January, March, April, 2001
Manning, T., Serge, D.: River water pump cyclic vibration. In: 29th Pump Users Symposium, Houston (2013)
Marscher, W.D.: End users guide to centrifugal pump rotor dynamics. In: 30th Pump Users Symposium, Houston (2014)
Marscher, W.D.: The effect of fluid forces at various operation conditions on the vibrations of vertical turbine pumps. In: IMechE Seminar Radial Loads and Axial Thrust, pp. 17–38 (1986)
Sumer, B., Fredsoe, J.: Hydrodynamics Around Cylindrical Structures, Revised Edition (2006)
Ohashi, H.: Case study of pump failure due to rotor-stator interaction. Intl J of Rotating Machinery 1, 53–60 (1994)
Corbo, M.A., et al.: Practical use of rotor dynamic analysis to correct a vertical long-shaft pump’s whirl problem. In: 19th Pump Users Symposium, Houston, pp. 107–120 (2002)
ISO 13709: Centrifugal Pumps for the Petrochemical Industry, 2nd edn (API 610) (2009)
Schneider, A., Conrad, D., Böhle, M.: Lattice Boltzmann simulation of the flow field in pump intakes—a new approach. ASME JFE 137, 031105 (2015)
Rebernik, B.: Radialkräfte von Kreiselpumpen mit unterschiedlichen Gehäuseformen. “25 Jahre ASTRÖ”, Aströ, Graz, pp. 55–60 (1979)
Boyadjis, P., Onari, M.: Diagnosing and correcting a damaging below-ground column natural frequency in a vertical pump using field testing and FEA. In: 28th Pump Users Symposium, Houston (2012)
Nakato, T.: Field-tested solutions to pump vibrations. In: 1st International Symposium on Noise and vibrations, Paris (1993)
Schubert, F., Rosenberger, H.: Development of a compact intake chamber for vertical tubular pumps. In: ASCE Joint Conference Water Resources, Minneapolis (2000)
Smith, D., Woodward, G.: Vibration analysis of vertical pumps. In: 15th Turbomachinery Symposium Texas A&M, pp. 61–68 (1986)
Corley, J.E.: Vibration problems of large vertical pumps and motors. In: 9th Turbomachinery Symposium Texas A&M, pp. 75–82 (1980)
Kirst, K.: Experimentelle und numerische Untersuchungen von Zulaufbedingungen vertikaler Pumpsysteme. Dissertation TU Kaisers-lau-tern. SAM Forschungsbericht Bd 22 (2012)
Kaiser, T., et al.: Analysis guide for variable-frequency drive operated centrifugal pumps. In: 24th International Pump Users Symposium Texas A&M, pp. 81–106 (2008)
Blevins, R.D.: Applied Fluid Dynamics Handbook. Van Nostrand Reinhold, New York (1984)
Schäfer, F.: Untersuchung des Einflusses hydraulischer und mechanischer Anregungen auf das Betriebsverhalten einer axialen Rohrgehäusepumpe. Dissertation TU Kaiserslautern. SAM Forschungsbericht Bd 18 (2008)
Peters, M.: Fiber-reinforced ceramic bearings for cooling water pump applications. In: IMech 2014 Turbomachinery Symposium
Franke, G., et al.: On pressure mode shapes arising from rotor-stator interactions. IAHR WG1-2003 Meeting
Fischer, R.K., et al.: Contribution to improved understanding of the dynamic behaviour of pump turbines. In: 22nd IAHR Symposium on Hydraulic Machinery and Systems (2004)
Buckler, M.: Tutorial on vertical pumps. In: Calgary Pump Symposium (2013)
Guo, S., Okamoto, H.: An experimental study on the fluid forces induced by rotor-stator interaction in a centrifugal pump. Int. J. Rotating Mach. 9(2), 135–144 (2003)
Zhang, M., Tsukamoto, H.: Unsteady hydrodynamic forces due to rotor-stator interaction on a diffuser pump with identical number of vanes on the impeller and diffuser. J. Fluid Eng. 127, 743–751 (2005)
Nicolet, C.: Hydro-acoustic modelling and numerical simulation of unsteady operation of hydro-electric systems. Ph.D. thesis EPFL (2007)
Gülich, J.F., et al.: Review of parameters influencing hydraulic forces on centrifugal impellers. Proc. IMechE 201(A3), 163–174 (1987)
Smith, D.R., et al.: Centrifugal pump vibration caused by super-synchronous shaft instability. In: 13th International Pump Users Symposium, Houston, pp. 47–69 (1996)
Feng, J., Benra, F.K., Dohmen, H.J.: Numerical investigation on pressure fluctuations for different configurations of vaned-diffuser pumps. Int. J. Rotating Mach. (2007)
Van Esch, B., Cheng, L.: Unstable operation of a mixed-flow pump and the influence of tip clearance. ASME AJK2011-06016
Miyabe, M., et al.: Rotating stall behavior in a diffuser of a mixed-flow pump and its suppression. ASME FEDSM 2008-55132
Miyabe, M., et al.: On improvement of characteristic instability and internal flow in mixed-flow pumps. J. Fluid Sci. Technol. 3(6), 732–743 (2008)
Miyabe, M., et al.: Unstable head-flow characteristic generation of a low-specific speed mixed-flow pump. J. Therm. Sci. 15(2), 115-ff (2006)
Barrio, E., et al.: The effect of impeller cutback on the fluid-dynamic pulsations and load at blade-passing frequency in a centrifugal pump. ASME JFE 130, 111102 (2008)
Botero F et al: Non-intrusive detection of rotating stall in pump-turbine. Mech. syst. signal process. (2014)
Figliola, R.S., Beasley, D.E.: Theory and Design for Mechanical Measurement, 5th edn. Wiley, Hoboken (2011)
Berten, S.: R&D pump investigations. Technical Review Sulzer, No. 1 (2017)
Berten, S., et al.: Experimental and numerical analysis of pressure pulsations and mechanical deformations in a centrifugal pump impeller. ASME AJK2011-06057 (2011)
Bradshaw, S., Sabini, E.: Modification of BB1 vibration characteristics to meet ISO 13709 limits. In: Texas A&M Pump Symposium (2011)
Berten, S., et al.: Experimental investigation of pressure fluctuations in a high-energy centrifugal pump at off-design conditions. In: IMechE Conference (2014)
Zobeiri, A., et al.: How oblique trailing edge of a hydrofoil reduces the vortex-induced vibration. J. Fluids Struct. 32, 78–89 (2012)
Jery, B., et al.: Forces on centrifugal pump impellers. In: Texas A&M Pump Symposium, pp. 21–32 (1985)
Franz, R., et al.: The hydrodynamic forces on a centrifugal pump impeller in the presence of cavitation. ASME JFE 112, 264–271 (1990)
Jery, B.: Experimental study of unsteady hydrodynamic force matrices on whirling centrifugal pump impellers. Ph.D. thesis, Caltech (1987)
Dietzen, F., Nordmann, R.: Calculating rotordynamic coefficients of seals by finite-difference techniques. NASA CP 2443, pp. 77–96 (1986)
Fu, D.C., et al.: Impact of impeller stagger angle on pressure fluctuation of double-suction centrifugal pump. Chin J Mech Eng (2018)
Bachert, R.: Dreidimensionale, instationäre Effekte kavitierender Strömungen – Analysen an Einzelprofilen und in einer Radialpumpe. Diss. TU Darmstadt, (2004)
Lehr, C., Linkamp, A., Brümmer, A.: Abschlussbericht zum Verbundprojekt: Entwicklung von Grundlagen für instationär betriebene hydraulische Pumpsysteme in flexiblen Kraftwerken. TU Dortmund Februar (2019)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Gülich, J.F. (2020). Noise and Vibrations. In: Centrifugal Pumps. Springer, Cham. https://doi.org/10.1007/978-3-030-14788-4_10
Download citation
DOI: https://doi.org/10.1007/978-3-030-14788-4_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-14787-7
Online ISBN: 978-3-030-14788-4
eBook Packages: EngineeringEngineering (R0)