Wind power of small wind turbines in turbulent open jets

Abstract Open jet wind tunnel testing provides an alternative solution to expensive online wind power measurements for researchers and small wind turbine developers. However, there is a lack of knowledge for high Reynolds number and large diameter jet flows. In this paper, the structure of circular open jet flows is reviewed. Theories and experimental correlations are combined to extend our understanding of fully developed turbulent jets. Analytical relations are derived to calculate the correct wind power of the jets. The corresponding reduction in power generated by small wind turbines is explained. The effects of various parameters on the power production of a small wind turbine, such as the jet diameter, the distance of the wind turbine from the jet nozzle and the wind turbine hub diameter, are investigated and the results are discussed.

[1]  Paul Gipe,et al.  Wind Power: Renewable Energy for Home, Farm and Business , 2004 .

[2]  B. Boersma,et al.  Simulation of the mixing of a passive scalar in a round turbulent jet , 2001 .

[3]  N. Rajaratnam,et al.  Turbulent Compound Annular Shear Layers , 1972 .

[4]  H. B. Squire,et al.  Round Jets in a General Stream , 1944 .

[5]  William H. Rae,et al.  Low-Speed Wind Tunnel Testing , 1966 .

[6]  H. Görtler,et al.  Berechnung von Aufgaben der freien Turbulenz auf Grund eines neuen Näherungsansatzes . , 1942 .

[7]  L. G. Loĭt︠s︡i︠a︡nskiĭ Mechanics of liquids and gases , 1966 .

[8]  J. M. Beér,et al.  Velocity and Static-Pressure Distributions in Swirling Air Jets Issuing From Annular and Divergent Nozzles , 1964 .

[9]  Gijs van Kuik,et al.  Estimating the angle of attack from blade pressure measurements on the National Renewable Energy Laboratory phase VI rotor using a free wake vortex model: yawed conditions , 2009 .

[10]  G. N. Abramovich The Theory of Turbulent Jets , 2003 .

[11]  Israel J Wygnanski,et al.  Some measurements in the self-preserving jet , 1969, Journal of Fluid Mechanics.

[12]  S. H. Seyedein,et al.  Modelling of a single confined turbulent slot jet impingement using various k — ϵ turbulence models , 1994 .

[13]  A. Sedaghat,et al.  Rotor design and analysis of stall-regulated horizontal axis wind turbine , 2009, 2009 44th International Universities Power Engineering Conference (UPEC).

[14]  E Forthmann,et al.  Turbulent Jet Expansion , 1936 .

[15]  B. Launder,et al.  Second-moment modelling of developing and self-similar 3d turbulent free-surface jets , 2000 .

[16]  Walter Tollmien,et al.  Berechnung turbulenter Ausbreitungsvorgänge , 1926 .

[17]  Erich Hau,et al.  Wind Turbines: Fundamentals, Technologies, Application, Economics , 1999 .

[19]  S. S. Grigorian Cauchy's problem and the problem of a piston for one-dimensional, non-steady motions of gas (automodel motion)☆ , 1958 .

[20]  C. Duwig,et al.  NEAR-FIELD DYNAMICS OF A TURBULENT ROUND JET WITH MODERATE SWIRL , 2008, Proceeding of Fifth International Symposium on Turbulence and Shear Flow Phenomena.

[21]  M. Tummers,et al.  Turbulent flow in the near field of a round impinging jet , 2011 .

[22]  W. G. Rose A Swirling Round Turbulent Jet: 1—Mean-Flow Measurements , 1962 .

[23]  Maurice L. Albertson,et al.  Diffusion of Submerged Jets , 1948 .

[24]  Hachimi Fellouah,et al.  Reynolds number effects within the development region of a turbulent round free jet , 2009 .

[25]  J. Hinze,et al.  Transfer of heat and matter in the turbulent mixing zone of an axially symmetrical jet , 1949 .

[26]  N. A. Chigier,et al.  Experimental Investigation of Swirling Vortex Motion in Jets , 1967 .

[27]  S. Corrsin,et al.  Investigation of Flow in an Axially Symmetrical Heated Jet of Air , 1943 .

[28]  Tze Pei Chong,et al.  Design and performance of an open jet wind tunnel for aero-acoustic measurement , 2009 .

[29]  H. Fernholz Boundary Layer Theory , 2001 .

[30]  B. D. Pratte,et al.  The Swirling Turbulent Jet , 1972 .

[31]  H. Schlichting Boundary Layer Theory , 1955 .

[32]  J. Mcgowan,et al.  Wind Energy Explained , 2002 .