Abstract
The Mach-Number series expansion of the potential function for the two dimensional flow of an inviscid, compressible, frozen gas past a circular cylinder are obtained to 29 terms. Analysis of these expansion allows the estimates for the critical Mach-Number M*, (at which flow first becomes locally Sonic), and the radius of convergence of the series Mc for the maximum velocity. In this case of two-dimensional circular cylinder we obtain consistent results with 29 terms obtained by Van Dyke and Guttmann [19] for the case of diatomic gas with gamma equal to 7/5. For this case of two dimensions, we have been unable to determine the nature of singularities. We hope this work help to shed a light for resolving the 80-years old conterversary which says that whether the airfoil can posses a continuous range of shock free potential flow above the critical Mach-Number (Mc > M*).
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