Talk:Prandtl–Glauert transformation

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This is derived from linearizing the compressible, inviscid potential flow equations. As such, I believe their is also a condition on the flow being irrotational. Iron_Engineer (talk) 06:01, 2 July 2009 (UTC)[reply]

Why is it the absolute value of (1-M²) instead of just (M²-1)? (I'd Sign, but I don't have a wiki account, just a curious person) —Preceding unsigned comment added by 130.18.116.244 (talk) 05:32, 17 August 2009 (UTC)[reply]

Examples[edit]

The article says that the singularity is used to describe phenomena near sonic speed - I assume this means used in a "high school physics" type manner of incompletely describing the linear components of certain phenomena and just ignoring the non-linear components. I would think one of these might be describing supersonic shockwaves - although I have no experience with aerodynamics at all - hence my muddled attempt in the last sentence.. But examples of phenomena are "explained" in this way would be nice. I also wonder if anyone has wondered (however theoretically) about whether this transformation shares some conceptual basis with the Lorentz transformation from relativity and the phenomenon of Cherenkov radiation? 98.223.232.121 (talk) 16:58, 7 January 2012 (UTC)Jim[reply]

Observation of the apparent singularity led to the development of "area ruling" which leads to the "coke bottle" shaped fuselage of some planes of the mid sixties. The effect of wave drag is so pronounced near M = 1 that limiting the increase in frontal area along the length of the airplane is critical to keeping the drag manageable at these transonic speeds. The fuselage is reduced by the same amount as the increase from the wings to delay / reduce the formation of a normal shockwave emanating from the surface of the airplane and the pressure drag that comes with it. So there's an example that most people can at least "see." — Preceding unsigned comment added by 217.180.201.93 (talk) 19:35, 10 September 2022 (UTC)[reply]