Abstract
In the axial momentum theory presented in the previous chapter, the rotational flow was ignored and the rotor was replaced by a pressure jump represented by an actuator disc. To develop further the momentum theory, the actuator disc equations are modified by introducing rotational velocities to the flow.
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References
Burton, T., Sharpe, D., Jenkins, N., Bossanyi, E.: Wind Energy Handbook. Wiley, New York (2002)
De Vries, O.: Fluid Dynamic Aspects of Wind Energy Conversion. AGARDograph No. 243. AGARD (1979). ISBN:92-835-1326-6
Glauert, H.: Airplane propellers. In: Durand, W.F. (ed.) Aerodynamic theory (Division L), vol. IV, pp. 169–360. Springer, Berlin (1935)
Hunsaker, D.F., Philips, W.F.: Momentum theory with slipstream rotation applied to wind turbines. In: AIAA 2013-31161, 31st AIAA Applied Aerodynamics Conference, San Diego, CA (2013)
Joukowsky, N.E.: Vortex theory of a rowing screw. Trudy Otdeleniya Fizicheskikh Nauk Obshchestva Lubitelei Estestvoznaniya 16, 1 (1912). (in Russian)
Joukowsky, N.E.: Vortex theory of the screw propeller I–IV. French translation: ‘Théorie Tourbillonnaire de l´Hélice Propulsive I-IV’ by W. Margoulis. Éditeurs: Gauthier-Villars et Cie. Paris, 1929 (1912–1918)
Mikkelsen, R.F., Øye, S., Sørensen, J.N., Madsen, H.A., Shen, W.Z.: Analysis of wake expansion and induction near tip. In: Proceedings of EWEC 2009, European Wind Energy Association (EWEA), Brussels (2009)
Mikkelsen, R.F.: Actuator disc methods applied to wind turbines. PhD dissertation. Technical University of Denmark, MEK-FM-PHD 2003-02 (2003)
Sørensen, J.N., Mikkelsen, R.: On the validity of the blade element momentum method. In: European Wind Energy Conference Copenhagen; Denmark, pp. 362–366 (2001)
Sørensen, J.N., Kock, C.W.: A model for unsteady rotor aerodynamics. J. Wind Eng. Ind. Aerodyn. 58, 259–275 (1995)
Sørensen, J.N., Mikkelsen, R.: A critical view on the momentum theory. Presented at the Torque 2012 conference, Oldenburg (2012)
Sørensen, J.N., Mikkelsen, R. (2015) Validation of momentum theory for wind turbine rotors. To be submitted
Sørensen, J.N., Myken, A.: Unsteady actuator disc model for horizontal axis wind turbines. J. Wind Eng. Ind. Aerodyn. 139, 139–149 (1992)
Xiros, M.I., Xiros, N.I.: Remarks on wind turbine power absorption increase by including the axial force due to the radial pressure gradient in the general momentum theory. Wind Energy 10, 99–102 (2007)
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Sørensen, J.N. (2016). The General Momentum Theory. In: General Momentum Theory for Horizontal Axis Wind Turbines. Research Topics in Wind Energy, vol 4. Springer, Cham. https://doi.org/10.1007/978-3-319-22114-4_4
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DOI: https://doi.org/10.1007/978-3-319-22114-4_4
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