A Review of Available Methods for the Assessment of Fluid Added Mass, Damping, and Stiffness With an Emphasis on Hydraulic Turbines

Fluid added mass, damping, and stiffness are highly relevant parameters to consider when evaluating the dynamic response of a submerged structure in a fluid. The prediction of these parameters for hydraulic turbines has been approached relatively recently. Complex fluid-structure analyses including three-dimensional flow and the need for experiments during operation are the main challenges for the numerical and experimental approaches, respectively. The main objective of this review is to address the impact of different parameters, for example, flow velocity, cavitation, nearby solid structure, and rotational speed on the fluid added mass and damping of Kaplan/Propeller and Francis turbine runners. The fluid added stiffness is also discussed in the last section of the paper. Although studies related to hydraulic turbines are the main objective of this paper, the literature on hydrofoils is also taken into consideration to provide valuable information on topics such as individual runner blades. In this literature survey, the analytical, numerical, and experimental approaches used to determine fluid added parameters are discussed, and the pros and the cons of each method are addressed.

[1]  D. Peters.  Two-dimensional incompressible unsteady airfoil theory—An overview , 2008 .

[2]  Ole Gunnar Dahlhaug,et al.  Experimental and Numerical Studies for a High Head Francis Turbine at Several Operating Points , 2013 .

[3]  R. Abhari,et al.  Experimental Study on Impeller Blade Vibration During Resonance—Part I: Blade Vibration Due to Inlet Flow Distortion , 2009 .

[4]  Yin Lu Young,et al.  Influence of skew on the added mass and damping characteristics of marine propellers , 2016 .

[5]  Yin Lu Young,et al.  Fluid–structure interaction analysis of flexible composite marine propellers , 2008 .

[6]  Berhanu Mulu,et al.  Experimental investigation of the hydraulic loads on the runner of a Kaplan turbine model and the corresponding prototype , 2015 .

[7]  Amirreza Zobeiri,et al.  Effect of Hydrofoil Trailing Edge Geometry on the Wake Dynamics , 2012 .

[8]  David Valentín Ruiz,et al.  On the capability of structural–acoustical fluid–structure interaction simulations to predict natural frequencies of rotating disklike structures submerged in a heavy fluid , 2016 .

[9]  Bhupendra K. Gandhi,et al.  Effect of transients on Francis turbine runner life: a review , 2013 .

[10]  Michael R. Motley,et al.  Free surface and solid boundary effects on the free vibration of cantilevered composite plates , 2013 .

[11]  Hua-Shu Dou,et al.  Vibration of Hydraulic Machinery , 2013 .

[12]  Jan-Olov Aidanpää,et al.  Numerical analysis of fluid-added parameters for the torsional vibration of a Kaplan turbine model runner , 2017 .

[13]  Steven Roth.  Fluid-Structure Coupling Effects on the Dynamic Response of Pump-Turbine Guide Vanes , 2012 .

[14]  Alexandre Presas,et al.  Experimental Study of a Vibrating Disk Submerged in a Fluid-Filled Tank and Confined With a Nonrigid Cover , 2017 .

[15]  Michael R. Motley,et al.  Adaptive Composite Marine Propulsors and Turbines: Progress and Challenges , 2016 .

[16]  Eduard Egusquiza,et al.  Failure investigation of a large pump-turbine runner , 2012 .

[17]  Alexandre Presas,et al.  On the capability of structural-acoustical FSI simulations to predict natural frequencies of rotating disk-like structures submerged in a heavy fluid , 2016 .

[18]  Bernd Nennemann,et al.  Determination of Hydrofoil Damping Due to Fluid Structure Interaction Using MFC Actuators , 2013 .

[19]  M. Cervantes,et al.  Experimental Investigation of the Interblade Flow in a Kaplan Runner at Several Operating Points Using Laser Doppler Anemometry , 2016 .

[20]  D. Levin,et al.  The added mass of a flexible plate oscillating in a fluid , 2003 .

[21]  Hiroshi Tanaka,et al.  Vibration Behavior and Dynamic Stress of Runners of Very High Head Reversible Pump-turbines , 2011 .

[22]  N Ruchonnet,et al.  Fatigue analyses of the prototype Francis runners based on site measurements and simulations , 2014 .

[23]  O De La Torre,et al.  Experimental mode shape determination of a cantilevered hydrofoil under different flow conditions , 2016 .

[24]  Bernd Nennemann,et al.  Damping measurements in flowing water , 2012 .

[25]  J. Hengstler.  Influence of the fluid-structure interaction on the vibrations of structures , 2013 .

[26]  Jan-Olov Aidanpää,et al.  The effect of inertia and angular momentum of a fluid annulus on lateral transversal rotor vibrations , 2012 .

[27]  François Avellan,et al.  Dynamic calibration of transient sensors by spark generated cavity , 1993 .

[28]  Alexandre Presas,et al.  Experimental study on the added mass and damping of a disk submerged in a partially fluid-filled tank with small radial confinement , 2014 .

[29]  E. Crawley,et al.  Use of piezoelectric actuators as elements of intelligent structures , 1987 .

[30]  Eduard Egusquiza,et al.  Experimental investigation of added mass effects on a hydrofoil under cavitation conditions , 2013 .

[31]  E. Crawley,et al.  Experimental verification of distributed piezoelectric actuators for use in precision space structures , 1986 .

[32]  Kyeong-Hoon Jeong,et al.  Free vibration of two identical circular plates coupled with bounded fluid , 2003 .

[33]  Alexandre Presas,et al.  Numerical study on the influence of acoustic natural frequencies on the dynamic behaviour of submerged and confined disk-like structures , 2017 .

[34]  M. Farhat,et al.  Effect of trailing edge shape on hydrodynamic damping for a hydrofoil , 2014 .

[35]  François Avellan,et al.  Fluid–structure coupling for an oscillating hydrofoil , 2010 .

[36]  Paul H. Mirick,et al.  Low-cost piezocomposite actuator for structural control applications , 2000, Smart Structures.

[37]  Marcel Escudier,et al.  Confined Vortices in Flow Machinery , 1987 .

[38]  Christoph W. Schwingshackl,et al.  A Wireless Vibration Control Technique for Gas Turbine Blades Using Piezoelectric Plates and Contactless Energy Transfer , 2013 .

[39]  Albert Kammerer,et al.  Experimental Study on Impeller Blade Vibration During Resonance—Part II: Blade Damping , 2009 .

[40]  R. Blevins,et al.  Flow-Induced Vibration , 1977 .

[41]  Yin Lu Young,et al.  Influence of flow-induced bend–twist coupling on the natural vibration responses of flexible hydrofoils , 2017 .

[42]  Reza Ghomashchi,et al.  Hydro turbine failure mechanisms: An overview , 2014 .

[43]  Alexandre Presas,et al.  A Review of PZT Patches Applications in Submerged Systems , 2018, Sensors.

[44]  Peter Dörfler,et al.  Flow-Induced Pulsation and Vibration in Hydroelectric Machinery: Engineer’s Guidebook for Planning, Design and Troubleshooting , 2012 .

[45]  Stephane Etienne,et al.  A numerical method for the determination of flow-induced damping in hydroelectric turbines , 2017 .

[46]  S. Kovinskaya,et al.  VIBRATION OF CAVITATING ELASTIC WING IN A PERIODICALLY PERTURBED FLOW: EXCITATION OF SUBHARMONICS , 2000 .

[47]  A. Lyutov,et al.  Modelling of a Francis Turbine Runner Fatigue Failure Process Caused by Fluid-Structure Interaction , 2016 .

[48]  Yuji Kubota,et al.  Added Mass Effect on Disc Vibrating in Fluid , 1984 .

[49]  Alexandre Presas,et al.  Dynamic response of a rotating disk submerged and confined. Influence of the axial gap , 2016 .

[50]  Bernd Nennemann,et al.  Characterization of hydrofoil damping due to fluid–structure interaction using piezocomposite actuators , 2012 .

[51]  R. Blevins,et al.  Formulas for natural frequency and mode shape , 1984 .

[52]  Yin Lu Young,et al.  Time-dependent hydroelastic analysis of cavitating propulsors , 2007 .

[53]  Yin Lu Young,et al.  Effect of material design parameters on the forced vibration response of composite hydrofoils in air and in water , 2017 .

[54]  A. A. Kaminer,et al.  Experimental investigation of hydrodynamic damping during bending oscillations of blade profiles in water flow , 1976 .

[55]  Kyeong-Hoon Jeong,et al.  Hydroelastic vibration of circular plates immersed in a liquid-filled container with free surface , 2013 .

[56]  Eduard Egusquiza,et al.  Analysis of the dynamic response of pump-turbine impellers. Influence of the rotor , 2016 .

[57]  P. Østby.  Dynamic Stress In High Head Francis Turbines , 2019 .

[58]  Reza S. Abhari,et al.  Experimental study of aerodynamic and structural damping in a full-scale rotating turbine , 2003 .

[59]  X Huang,et al.  Static and dynamic stress analyses of the prototype high head Francis runner based on site measurement , 2014 .

[60]  Volker Carstens,et al.  The Impact of Viscous Effects on the Aerodynamic Damping of Vibrating Transonic Compressor Blades , 2001 .

[61]  Tokuo Yamamoto,et al.  On the response of a Coulomb‐damped poroelastic bed to water waves , 1983 .

[62]  Alexandre Presas,et al.  Feasibility of Detecting Natural Frequencies of Hydraulic Turbines While in Operation, Using Strain Gauges , 2018, Sensors.

[63]  François Avellan,et al.  Hydrodynamic Damping Identification from an Impulse Response of a Vibrating Blade , 2009 .

[64]  Marcelo Vinicius Magnoli,et al.  Numerical simulation of pressure oscillations in large Francis turbines at partial and full load operating conditions and their effects on the runner structural behaviour and fatigue life , 2014 .

[65]  Yongyao Luo,et al.  Numerical simulation of added mass effects on a hydrofoil in cavitating flow using acoustic FSI , 2017 .

[66]  M. Santhosh Kumar.  Rotor Dynamic Analysis Using ANSYS , 2011 .

[67]  Shuhong Liu,et al.  Numerical Simulation of Hydraulic Turbine Based on Fluid-Structure Coupling , 2009 .

[68]  Michael R. Motley,et al.  Three-dimensional numerical modeling of the transient fluid-structural interaction response of tidal turbines , 2010 .

[69]  Emiliano Mucchi,et al.  On the Comparison Between Displacement Modal Testing and Strain Modal Testing , 2015 .

[70]  Eduard Egusquiza,et al.  Capability of structural-acoustical FSI numerical model to predict natural frequencies of submerged structures with nearby rigid surfaces , 2012 .

[71]  Chirag Trivedi,et al.  A review on fluid structure interaction in hydraulic turbines: A focus on hydrodynamic damping , 2017 .

[72]  Momoh Jimoh Emiyoka Salami,et al.  Active vibration control of a beam with piezoelectric patches: real-time implementation with xPC target , 2003, Proceedings of 2003 IEEE Conference on Control Applications, 2003. CCA 2003..

[73]  Mustapha Benaouicha,et al.  Analysis of added mass in cavitating flow , 2012 .

[74]  Chirag Trivedi,et al.  Fluid-structure interactions in Francis turbines : A perspective review , 2017 .

[75]  Ahsan Kareem,et al.  Damping in structures: its evaluation and treatment of uncertainty , 1996 .

[76]  T. Rodríguez,et al.  Influence of cavitation on the dynamic response of hydrofoils , 2013 .

[77]  T. Theodorsen.  General Theory of Aerodynamic Instability and the Mechanism of Flutter , 1934 .

[78]  William K. Blake,et al.  On the flow−excited vibrations of cantilever struts in water. I. Flow−induced damping and vibration , 1975 .

[79]  Atul K. Raturi,et al.  Renewables 2016 Global status report , 2015 .

[80]  Jean-François Sigrist,et al.  An experimental analysis of fluid structure interaction on a flexible hydrofoil in various flow regimes including cavitating flow , 2012 .

[81]  C. Fuller,et al.  Piezoelectric Actuators for Distributed Vibration Excitation of Thin Plates , 1991 .

[82]  Y. L. Young,et al.  Ventilation of Lifting Bodies: Review of the Physics and Discussion of Scaling Effects , 2017 .

[83]  F. Avellan,et al.  Numerical simulation of fluid added mass effect on a francis turbine runner , 2007 .

[84]  Bernd Nennemann,et al.  Hydro-dynamic damping theory in flowing water , 2014 .

[85]  Jerzy Matusiak,et al.  Unsteady load on an oscillating Kaplan turbine runner , 2013 .

[86]  Bernd Nennemann,et al.  Experience with Rotor-Stator interactions in high head Francis runner , 2008 .

[87]  Jerzy Matusiak,et al.  Hydrodynamic Added Mass and Damping of the Kaplan Turbine , 2011 .

[88]  Eduard Egusquiza,et al.  Numerical and experimental study of a nearby solid boundary and partial submergence effects on hydrofoil added mass , 2014 .

[89]  Y. L. Young,et al.  Inverse method for hydrodynamic load reconstruction on a flexible surface-piercing hydrofoil in multi-phase flow , 2018 .

[90]  Sebastian Muntean,et al.  Failure analysis of a Francis turbine runner , 2010 .

[91]  M. Géradin,et al.  A new approach to finite element modelling of flexible rotors , 1984 .

[92]  Bernd Nennemann,et al.  TWO-WAY FLUID-STRUCTURE COUPLING IN VIBRATION AND DAMPING ANALYSIS OF AN OSCILLATING HYDROFOIL , 2014 .

[93]  Michael B. Giles,et al.  A Numerical Study of Flutter in a Transonic Fan , 1997 .

[94]  Matthew R. Kramer,et al.  Free vibration of cantilevered composite plates in air and in water , 2013 .

[95]  Christopher E. Brennen,et al.  A Review of Added Mass and Fluid Inertial Forces , 1982 .

[96]  Alexandre Presas,et al.  Influence of the rotation on the natural frequencies of a submerged-confined disk in water , 2015 .

[97]  Alexandre Presas,et al.  Accurate Determination of the Frequency Response Function of Submerged and Confined Structures by Using PZT-Patches † , 2017, Sensors.

[98]  L. J. Maga,et al.  On the flow‐excited vibrations of cantilever struts in water. II. Surface‐pressure fluctuations and analytical predictions , 1975 .

[99]  Paolo Pennacchi,et al.  A cyclostationary multi-domain analysis of fluid instability in Kaplan turbines , 2015 .

[100]  Yin Lu Young,et al.  Numerical and experimental investigation of natural flow-induced vibrations of flexible hydrofoils , 2016 .

[101]  Alexandre Presas,et al.  Influence of the boundary conditions on the natural frequencies of a Francis turbine , 2016 .

[102]  C. Norberg.  Fluctuating lift on a circular cylinder: review and new measurements , 2003 .

[103]  Eduard Egusquiza,et al.  Experimental investigation of added mass effects on a Francis turbine runner in still water , 2006 .

[104]  O. C. Zienkiewicz,et al.  Fluid‐structure dynamic interaction and wave forces. An introduction to numerical treatment , 1978 .

[105]  R. S. Abhari,et al.  A Novel Technique for the Measurement of Blade Damping Using Piezoelectric Actuators , 2000 .

[106]  Parthasarathy Vasanthakumar.  COMPUTATION OF AERODYNAMIC DAMPING FOR FLUTTER ANALYSIS OF A TRANSONIC FAN , 2011 .

[107]  Håkan Nilsson,et al.  Numerical Estimation of Torsional Dynamic Coefficients of a Hydraulic Turbine , 2009 .

[108]  Alexandre Presas,et al.  Feasibility of Using PZT Actuators to Study the Dynamic Behavior of a Rotating Disk due to Rotor-Stator Interaction , 2014, Sensors.

[109]  Eduard Egusquiza,et al.  Dynamic Analysis of Francis Runners - Experiment and Numerical Simulation , 2009 .

[110]  Hideo Ohashi,et al.  Case Study of Pump Failure Due to Rotor-Stator Interaction , 1994 .

[111]  Andrew,et al.  Design Optimization of a Controllable Camber Rotor Airfoil , 2005 .