The Application of Meksyn-Imai's Method to the Subsonic Flow past an Axisymmetric Body

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概要

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• For the axisymmetric subsonic now of a compressible fluid we shall develop an analogous procedure to Meksyn-Imai's method, which was offered for the two-dimensional irratational now of a compressible fluid. And then it will be proved that the final result sobtained in the two-dimensional case can also be immediately used in the present three-dimensional case. Namely, the ratio of the velocity of a compressible fluid past an obstacle to that of an incompressible fluid past the same obstacle, denoted by (q/q_0), can be given by solving the following algebraic equation of fifth degree: (q/q_0)=1+M_1^2 (q/q_0)^3{1-<γ-1>/2M_1^2}K(α,β)+M_1^4(q/q_0)^5L(α,β),where M_1 and γ are respectively the Mach number of the main flow and the ratio of the specific heats, and K and L are functions determined merely by the form of the obstacle. Also K and L can be related with the coefficients of the series of the M^2-expansion method as follows: K=Q_1/q_0, L=(Q_2/q_0)+<γ-1>/2(Q_1/q_0)-3(Q_1/q_0)^2, where q=q_0+M_1^2Q_1+M_1^4Q_2+・・・. As an example the flow past a sphere is discussed.

• 社団法人日本物理学会の論文
• 1955-12-05

著者

• Kusukawa Ken-ichi

  Department Of Physics Faculity Of Science Tokyo Metropolitan University

• KUSUKAWA Ken-ichi

  Department of Physics, Faculty of Science, Tokyo Metropolitan University

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• On the Magnetohydrodynamical Aligned Flow of a Compressible Fluid past a Slender Body Plaed in a Circular Wind Tunnel
• On the Two-dimensional Compressible Flow over a Thin Symmetric Obstacle with Sharp Shoulders Placed in an Unbounded Fluid and in a Choked Wind Tunnel
• On the Transonic Flow of a Compressible Fluid Past an Axisymmetric Slender Body at Zero Incidence
• On the Flow of an Electrically Conducting Gas past a Slender Body in the Presence of a Crossed Magnetic Field
• Nonlinear Gravitational Growth in Expanding Gases
• On the Transonic Flow of a Compressible Fluid Past a Nearly Axisymmetric Slender Body
• Chapter IV Magneto-Fluid Dynamical Inviscid Flows
• Chapter III Magneto-Fluid Dynamical Channel Flows
• On the Kutta-Joukowski Condition in Magnetohydrodynamics
• The Application of Meksyn-Imai's Method to the Subsonic Flow past an Axisymmetric Body

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