On a Refinement of the Transonic Approximation Theory

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概要

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• In this paper it is proposed that the basic equation for the two-dimensional transonic flow of a compressible fluid should be [numerical formula] rather than the commonly used one [numerical formula] or its equivalent. Here [numerical formula] and Ψ=K^<-1/4>_ψ is the stream function, (q, θ) are the magnitude and direction of the velocity, q_* the critical velocity, M the local Mach number, p the density, p_0 the stagnation density, and T the ratio of specific heats. A set of fundamental solutions of (A), which have singularity at the point (γ=γ_1, θ=0), is obtained in a natural and elementary way in the form [numerical formula] where γ_1-iθ=γcosα, Q_n^m being the associated Legendre function. In particular, flow through a Laval nozzle and past a lenticular-shaped body can be constructed by employing the solutions with m=±1/2. Finally, discussion is given on the advantage of (A) over (B) as the fundamental equation for the transonic flow.

• 社団法人日本物理学会の論文
• 1954-12-25

著者

• Imai Isao

  Department Of Physics Faculty Of Science University Of Tokyo

関連論文

• An Approximate Method of Calculating Compressible Fluid Flow Past a Thin Aerofoil
• Extension of von Karman's Transonic Similarity Rule
• Chapter I General Principles of Magneto-Fluid Dynamics
• On a Refinement of the Transonic Approximation Theory
• On Sneddon and Fulton's Solution for the Irrotational Flow of a Perfect Fluid Past Two Spheres.

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