Experimental study of extreme thrust on a tidal stream rotor due to turbulent flow and with opposing waves

Abstract Time-varying thrust has been measured on a rotor in shallow turbulent flow at laboratory scale. The onset flow has a turbulence intensity of 12% at mid depth and a longitudinal turbulence length scale of half the depth, about 5 times the vertical scale, typical of shallow flows. The rotor is designed to have thrust and power coefficient variations with tip speed ratio close to that of a full-scale turbine. Three extreme probability distributions give similar thrust exceedance values with the Type 1 Pareto in mid range which gives 1:100, 1:1000 and 1:10 000 exceedance thrust forces of 1.38, 1.5 and 1.59 times the mean value. With opposing waves superimposed the extreme thrust distribution has a very similar distribution to the turbulent flow only. Exceedance forces are predicted by superposition of a drag force with drag coefficient of 2.0 based on the wave particle velocity only and with an unchanged mean thrust coefficient of 0.89. These values are relevant for the design of support structures for marine turbines.

[1]  L. Prandtl,et al.  Über die Entstehung der Turbulenz , 1931 .

[2]  S. Miley,et al.  Catalog of low-Reynolds-number airfoil data for wind-turbine applications , 1982 .

[3]  P. Moriarty,et al.  A large-eddy simulation study of wake propagation and power production in an array of tidal-current turbines , 2013, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[4]  Yoo Sang Choo,et al.  Current blockage: Reduced Morison forces on space frame structures with high hydrodynamic area, and in regular waves and current , 2013 .

[5]  I. Afgan,et al.  Turbulent flow and loading on a tidal stream turbine by LES and RANS , 2013 .

[6]  Peter Stansby,et al.  A mixing-length model for shallow turbulent wakes , 2003, Journal of Fluid Mechanics.

[7]  R. Willden,et al.  Two-scale dynamics of flow past a partial cross-stream array of tidal turbines , 2013, Journal of Fluid Mechanics.

[8]  Iehisa Nezu,et al.  Turbulence in open-channel flows , 1993 .

[9]  Ian Masters,et al.  A robust blade element momentum theory model for tidal stream turbines including tip and hub loss corrections , 2011 .

[10]  Tim Stallard,et al.  Arguments for modifying the geometry of a scale model rotor , 2011 .

[11]  Benoît Gaurier,et al.  Flume tank characterization of marine current turbine blade behaviour under current and wave loading , 2013 .

[12]  Walter Tollmien,et al.  Über die ausgebildete Turbulenz , 1961 .

[13]  L. Chamorro,et al.  On the interaction between a turbulent open channel flow and an axial-flow turbine , 2013, Journal of Fluid Mechanics.

[14]  R. Blevins Applied Fluid Dynamics Handbook , 1984 .

[15]  T. Stallard,et al.  Interactions between tidal turbine wakes: experimental study of a group of three-bladed rotors , 2011, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[16]  Patrick Moriarty,et al.  AeroDyn Theory Manual , 2005 .

[17]  P. Bearman An investigation of the forces on flat plates normal to a turbulent flow , 1971, Journal of Fluid Mechanics.