垂直磁気界作用下の導電性流体円管内振動流

概要

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The alternating flow of an incompressible, viscous and electrically conducting fluid in a circular pipe of finite electrical conductivity under a uniform transverse magnetic field is analysed theoretically on the assumption of MHD approximations. The flow is assumed to be induced by a harmonically oscillating pressure gradient. The velocity and induced fields are provided to have the same forms of time dependencies as pressure gradient has. The special case of a cold plasma is studied as the magnetic Prandtl number is equal to unity.　The generalized exact solutions are functions of Hartmann number, oscillatory Reynolds number and arbitrary wall conductivity which includes an insulating wall and also a perfect conducting one for limiting cases.　Numerica1 results give two typical characteristics. First, the flow rate versus Poiseuille number decreases monotonically with increasing oscillatory Reynolds number for the case of the smaller Hartmann number. Second, for the case of the larger Hartmann number the flow rate versus Poiseullie number has a maximum at a certain oscillatory Reynolds number. The effects of wall conductivity to the above characteristics are remarkable for better conducting walls.　The annular effccts appear for the larger oscillatory Reynolds number. This effects are considerable for the smaller Hartmann number, but they disappear for the larger Hartmann number.
山形大学の論文
1978-02-20