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Analytical solutions for magnetohydrodynamic problems for flow of a conducting fluid in the entrance region of circular and plane channels

M. Ya. Antimirov - E. S. Ligere

Riga Technical University, Riga, Latvia

In this paper the exact analytical solution of similar problem for circular channel of radius R with the split of finite width 2L on the lateral side of channel is presented. The numerical calculation gives the M-shaped velocity profile in the entrance region of the channel at large Hartmann numbers. The physical explanation of M-shaped velocity s profile is given. Moreover, an asymptotic solution of this problem at large Hartmann numbers (in the limit as ) is obtained. Similar more sharp M-shaped velocity pro-files for plane channel by numerical calculation from author’s work [2] are found for the first time in this report. Table 1, Figs 5, Refs 4.

Magnitnaya Gidrodinamika 36, No. 3, 241-250, 2000 [PDF, 0.32 Mb]
Magnetohydrodynamics 36, No. 3, 197-206, 2000 [PDF, 1.14 Mb]

Copyright: Institute of Physics, University of Latvia
Electronic edition ISSN 1574-0579
Printed edition ISSN 0024-998X