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Wind-turbine blades in laydown yard awaiting installation. The primary application of wind turbines is to generate energy using the wind. Hence, the aerodynamics is a very important aspect of wind turbines. Like most machines, wind turbines come in many different types, all of them based on different energy extraction concepts.
Whereas the streamtube area is reduced by a propeller, it is expanded by a wind turbine. For either application, a highly simplified but useful approximation is the Rankine–Froude "momentum" or "actuator disk" model (1865, [1] 1889 [2]). This article explains the application of the "Betz limit" to the efficiency of a ground-based wind turbine.
According to Betz's law, no wind turbine of any mechanism can capture more than 16/27 (59.3%) of the kinetic energy in wind. The factor 16/27 (0.593) is known as Betz's coefficient. Practical utility-scale wind turbines achieve at peak 75–80% of the Betz limit. [2] [3] The Betz limit is based on an open-disk actuator.
Albert Betz at the Mathematics Genealogy Project; History of Aviation website Archived 2018-05-29 at the Wayback Machine includes images of Betz, Prandtl and their work.; Betz' book on hydrodynamics and aerodynamics, "Vier Abhandlungen zur Hydrodynamik und Aerodynamik", The Keiser Wilhelm Institute for Study of Fluid Flow, 1927 (German) on Google books.
By extension, the efficiency of the wind turbine is a function of the tip-speed ratio. Ideally, one would like to have a turbine operating at the maximum value of C p at all wind speeds. This means that as the wind speed changes, the rotor speed must change as well such that C p = C p max.
The wind profile power law relationship is = where is the wind speed (in metres per second) at height (in metres), and is the known wind speed at a reference height .The exponent is an empirically derived coefficient that varies dependent upon the stability of the atmosphere.
Flow visualization of wind speed contours around a house Wind engineering covers the aerodynamic effects of buildings Damaged wind turbines due to hurricane Maria. Wind engineering is a subset of mechanical engineering, structural engineering, meteorology, and applied physics that analyzes the effects of wind in the natural and the built environment and studies the possible damage ...
QBlade is a public source wind turbine calculation software, distributed under the Academic Public License. The software is seamlessly integrated into XFOIL , an airfoil design and analysis tool. The purpose of this software is the design and aerodynamic simulation of wind turbine blades.