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.

#MyWork #CCBYSA #AppliedMathematics #Aeronautics #Aerodynamics

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.

#MyWork #CCBYSA #AppliedMathematics #WxMaxima #FreeSoftware #Aeronautics #Aerodynamics #LaminarFlow

It seems there may have been both purely physical #Vimana and a kind of physical/interdimensional Vimana, the latter requiring the pilots to be, if I'm getting this right, spiritually in tune with the machinery as part of the key to flying them.

#Hijacked #Ancient Indian #Aeronautics | Science of Ancient #India | PDF visuals | English subtitles

Source: https://youtube.com/watch?v=a2zJBYHaS7A
Hijacked Ancient Indian Aeronautics | Science of Ancient India | PDF visuals | English subtitles

Dropping The Bomb

I’m still reading the Skunk Works, where Kelly Johnson is a wizard of aeronautics and business. He won two Collier Trophies; in 1954 for the development of the F-104 Starfighter and its J79 engine, and in 1963 for the development of the A-11 Mach 3 aircraft. He was also instrumental in the development of the infamous U-2 spy plane, which is still in operation today.

Collier Trophy on Wikipedia

Kelly Johnson frequently sparred with Air Force General Curtis LeMay, who believed that “demolishing everything was how you win a war." Curtis LeMay went on to become George ("Segregation Now, Segregation Tomorrow, Segregation Forever") Wallace’s running mate in his independent party bid for President in 1968. Curtis LeMay was also a recipient of a Collier Trophy in 1964 for "for development of high performance aircraft, missiles and space systems."

Lest anyone think that Curtis LeMay's penchant for carpet bombing was as ultimately unsuccessful as his vice presidential campaign, I'll note that the Collier Trophy recipent for 1972 were the folks of 7th & 8th Air Force and Task Force 77 of the Navy for Operation Linebacker II. A little hard to see that as an achievement in aeronautics, but...

The desire to obliterate one's enemies, and inflicting unconscionable numbers of civilian casualties, is not an historical aberration in the practice of war, or confined to the playbook of the Bad Guys.

https://twitter.com/spiritoflenin/status/1555879168486817792

https://nitter.net/spiritoflenin/status/1555879168486817792

#aeronautics #bombs #Hiroshima #Nagasaki #war

Startup Claims It Can Triple the Power of Electric Engines

And this could also reduce commercial airline emissions.

#technology #tech #science #engineering #aeronautics

https://interestingengineering.com/a-colorado-firm-claims-it-can-triple-the-power-of-electric-engines