HIGH-SPEED COMPRESSIBLE FLOWS ABOUT AXISYMMETRIC BODIES
Vladimir A. Frolov
Abstract
Vladimir A. Frolov
Abstract
The approximate method for the account of compressibility, which was successfully applied earlier for 2-D problems, is developed for axisymmetric case in the present work. The offered method is analyzed with reference to two mediums: air and water. Comparison of the results of calculations on an offered method and a method of Dorodnitsyn integrate relations has shown acceptable accuracy of the proposed method for engineering calculations. The method allows determining parameters of compressible flow through the parameters of incompressible flow up to the velocity corresponding to critical Mach number. The method of the account of compressibility of a flow does not depend on mathematical model of calculation of incompressible flow. Calculations have shown that for the same body the value of critical Mach number in water is less, than in air. The effect of compressibility is shown in water more strongly and at smaller values of Mach numbers of the flow infinity, than in air.
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The approximate method for the account of compressibility, which was successfully applied earlier for 2-D problems, is developed for axisymmetric case in the present work. The offered method is analyzed with reference to two mediums: air and water. Comparison of the results of calculations on an offered method and a method of Dorodnitsyn integrate relations has shown acceptable accuracy of the proposed method for engineering calculations. The method allows determining parameters of compressible flow through the parameters of incompressible flow up to the velocity corresponding to critical Mach number. The method of the account of compressibility of a flow does not depend on mathematical model of calculation of incompressible flow. Calculations have shown that for the same body the value of critical Mach number in water is less, than in air. The effect of compressibility is shown in water more strongly and at smaller values of Mach numbers of the flow infinity, than in air.
Key concepts: Mach number, Compressibility, Mechanics, Compressible flow, Rotational symmetry, Flow (mathematics), Incompressible flow, Work (physics)