The transonic similarity law for two-dimensional flow derived by von Kantian has been investigated by an iteration procedure similar to that of the Eayleigh-Janzen and Ackeret-Prandtl-Glauert methods. The resultB, which show that the potential can be expressed as a power series in a single parameter that depends on Mach number, thickness ratio, and ratio of specific heats, are in agreement with those of von Karman. The iteration procedure has been applied to obtain the second approximation for the flow past a Kaplan section in similarity form. The exact solution by Kaplan for the second approximation has been examined and found expressible in the same similarity form. The exact numerical results to three approximations obtained by Kaplan for the Kaplan section and the circular arc have been reduced to transonic similarity form.
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