一様な磁場を横切る電導性流体の脈動流 I 二次元理論

概要

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The pulsating flow of an electrically conducting viscous incompressible fluid in a rectangular duct with a uniform transverse magnetic field is considered theoretically with the assumption that the flow is supposed to be the parallil flow. The walls of duct which are parallel and perpendicular to the imposed magnetic field are taken to be perfectly conducting (as the electrodes) and nonconducting, respectiveiy.　Exact solutions for the velocity, magnetic field, instantaneous volumetric flow rate, the current density and the potential difference of the electrodes are obtained taking the longitudinal pressure gradient as a given function of time.　The imposed conditions can be represented by the Reynolds number, the Hartmann number, the magnetic Prandtl number and the variation of time dependency for the pressure gradient.　The effects of the strengths of the imposed magnetic fields and the amplitudes of the pressure gradient on the pulsating behavior of the flow are remarkable for the velocity profile and the induced fields.
山形大学の論文
1971-03-20