#aerodynamics
Following on from yesterday's posting of flow around a #ZhukovskyAerofoil, I've added #equipotential lines (blue) in addition to #streamlines (black). The two families are #contours of the #real and #imaginary parts of an #AnalyticFunction and therefore have the property of intersecting #orthogonally. The plots aren't ideal as there is some anomalous features where the equipotential lines are very close to the #aerofoil but it's still not bad.
Here, each frame is a different #wing profile, obtained this time by keeping the imaginary eccentricity of the generating #circle constant and varying only the real part.
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The #Zhukovsky #Aerofoil (sometimes transliterated as #Joukowsky from #Russian), is a 2D model of #streamlined #Airflow past a #wing. It uses #ComplexVariable and is an #AnalyticFunction (i.e. #Differentiable everywhere, save at isolated #Singularities). Take a circle in the #ComplexPlane which is not quite centred at the #origin but passes through the #coordinate (1,0) or (z=1+0i). Using the mapping w -> z+1/z, you get something that looks remarkably like an #aerofoil.
It is a #ConformalMapping meaning that angles are preserved during the mapping. In this animation, I've varied the imaginary part of the the eccentricity, while keeping the real part the same. With a zero #AngleOfAttack, you can see the change in the airflow around the #wing as its shape changes.
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*Saphonian Wind Turbine....Beyond the Betz Limit....For the same swept area (by a wind turbine), the wind energy captured by the sail-shaped body of the Saphonian is twice as higher as that of conventional wind turbine. By replacing the blades' rotor by a compact sail-shaped body (curved) that enjoys high aerodynamic coefficients (Cl and Cd), the Saphonian has set itself free from the insurmountable Betz limit.By replacing the turbine’ blades by a sail-shaped body that enjoys high aerodynamic drag coefficient (Cd), our Zero-Blade device is capable of capturing twice as much wind kinetic energy as conventional bladed wind turbine for the same swept area. The curved shape of the Saphonian body (Cd of 2.3) is capable of swallowing a great part of the blowing wind. Thanks to the specific motion of the sail-shaped body and the absence of blades, the Saphonian has set itself free from the Betz law (the Saphonian isn't a wind turbine). It also reduced major aerodynamic losses given its bladeless design. *
#Saphonian #Wind #Turbine #Betz #PHYSICS #AERODYNAMICS #TECHNOLOGY #SIMPLE #INEXPENSIVE #ENERGY
http://www.saphonenergy.com/