Letter to T Von Karman On Air Foil in a Flow With Mach Number 16

Cover Letter to T Von Karman On Air Foil in a Flow With Mach Number 16
Letter to T Von Karman On Air Foil in a Flow With Mach Number 16
Kurt Otto Friedrichs
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As a natter of fact, the reflected wave drops out In first or second approximation. That this is so does not seem obvious to jns, because the well«known fact that the entropy changes only in third order Is no sufficient reason. Por a justifioa* tion ozM need show that the relation between pressure and flow angle across a shook and across a simple conqpresslon wave (a Meyer wave run through backwards) disagree only in third order. I have verified this fact by oalculationi but I do not have a sho...rt-cut reason for it.
• 4 • 8ino« th« Moond approximtioa is already v«ry aoourata In the range oonaidered. It SMiao mora raaaonabla to dovalop a third ordar appraxlnetlon with raflaotad wavaa Ukea Into aooount, rathar than an exaot trontnent without doing so* Tho antropy In third ordor turns out to ba oonatant and tha flow is oonaaquantly stUl a potential flow in tiilrd order. Bie Influenoe of entropy change and reflected wave on the pressure distribution alono the profile shows up in that the pressure at a point of the profile depends in third order not only on the slope at that point but also on the slope at tha tip* The term expressing this dependence drops« how- ever, out from the expression for tha drag.


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