Wandlungen der Energie in einem Rotationssymmetrischen Wirbel Kompressibler Zahiger Flussigkeit

概要

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A method of treatment is put forward for dealing theoretically with the three-dimensional axially symmetric vortical field of flow of a compressible viscous heat-conducting field. The method of numerical integration is applied iteratively to the rigorous equations of motion and of energy under simplifying conditions: u=u(γ),v=v(γ),w=zf(γ) and p=(1/2)cz^2+p_1(γ) for the distributions of velocity components and of pressure, in cylindrical coordinates, the only approximation being concentrated in an assumption of ρ=ρ(γ) for the distribution of a mean value of density. The temperature distribution in the vortex field then takes the form T=T_1(γ)+z^2T_2(γ). Examples are obtained which show distributions of total and static temperatures in vortical fields of flow and comparison is made with the result of experiments in a Hilsch tube. Discussions are made on the mechanism of variation of mechanical and thermal energy in the vortex motion of a real fluid.
社団法人日本物理学会の論文
1970-02-05