Analytical solution of subsonic gas flow past a circle

15th Asian Congress of Fluid Mechanics

物理学;力学

Mansour, Kamyar^1,2

Department of Aerospace Engineering, AmirKabir University of Technology, Tehran

1587-4413, Iran^1

Flow Research and Engineering, 788 Maplewood Avenue, Palo Alto

CA

94303, Iran^2

关键词: Diatomic gas;    Maximum velocity;    Potential function;    Radius of convergence;    Series expansion;    Two-dimension;    Two-dimensional flow;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/822/1/012069/pdf
DOI  :  10.1088/1742-6596/822/1/012069

学科分类：力学，机械学

来源: IOP

【 摘 要 】

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 Mcfor 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∗).