G134 差動回転する同軸円板間流れの厳密解(対流伝熱促進・制御III)

概要

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Exact numerical solutions have been obtained for the laminar flow between a rotating and a stationary disk, which are infinitely large compared to the gap between the two disks. The gap space are assumed to be filled with an electric conducting fluid which has a small magnetic Prandtl number in order to control the flow by the Lorentz force and to neglect the influence of the induced magnetic field. The flow depends on both the Reynolds number and the Hartmann number. As the Reynolds number increases, the region of rigid body rotation is observed between the two boundary layers, whose thickness become thinner in proportional to the square root of the Reynolds number. On the other hand, as the Hartmann number increases, the Lorentz force suppresses the secondary flow significantly and boundary layer thickness of the azimuthal component is proportional to the inverse of the Hartmann number.
一般社団法人日本機械学会の論文
2009-11-06