Flow of Liquid Metals with a Transversely Applied Magnetic Field : 6th Report, Turbulent Flow in the Entrance Region
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The present paper is a theoretical investigation on the MHD entrance region of turbulent flow. In the first place, an approximate solution of the velocity profile for a fully developed turbulent flow between parallel planes is obtained by assuming the solution of the series as the velocity profile. Next a linear combination of the velocity profile for a hydrodynamically developed flow and that for a magnetohydrodynamically developed one is used as the velocity profile in the entrance region and a momentum-integral method is applied. From the comparison between the results of the present analysis and those of Maciulaitis et al., it is found that the present analysis results are applicable only to the region of relatively small Hartmann numbers where the analysis of Maciulaitis et al. can not be applied. In addition, a few examples of the results involving the variation of the frictional shearing stress and the pressure in the entrance region are shown.
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