渦法における渦度生成に関する一考察

概要

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The aim of the present work was to analyze the generation of vorticity on the surface of bodies. The fluid flow examined is viscous incompressible fluid and the local solution near the surface of bodies is considered. The solutions of the two-dimensional Navier-Stokes equation are constructed by means of a boundary layer equation for three initial vorticity fields, ω_0 (x, y)=-ω_0 (x, y), ω_0 (x, y)=ω_0 (x, y) and ω (x, y)=0 for y<0,where ω_0 is the initial vorticity and (x, y) is in the local coordinate system (x is tangential and y is normal). The results of the present analysis show that the vorticity generated on the boundary is determined by the slip velocity in these three initial cases for very small time lapse. This implies that the vorticity generated at the boundary is not dependent on the flow field models in numerical calculations. The present local solutions are applicable to the three-dimensional local flow near the boundary and the same conclusion is easily derived except flows near singular points such as separation and stagnation points.
一般社団法人日本機械学会の論文
1997-11-25