Analytical Solutions for Magnetohydrodynamic Problems for Flow of a Conducting Fluid in the Entrance Region of Circular and Plane Channels

Magnetohydrodynamics 2000
Jeļena Liģere, Maksimiliāns Antimirovs

In this paper the exact-analytical solution of a similar problem for a circular channel of radius R with a split of finite width 2L oil the Intend side of the channel is presented. The numerical calculation gives the M-shapcd Velocity profile in the entmnce region of the channel at large llartmann numbers. A physical explanation of the M-shapcd velocity's profile is given. Moreover, an asymptotic solution of this problem at large Harimann numbers (in the limit as Ha → ∞) is obtained. Similar, sharper M-shaped velocity profiles for a plane channel obtained by numerieal calculation from the author's work [12] are found for the first time in this report.

DOI
10.1023/a:1004806006218
Hyperlink
http://mhd.sal.lv/contents/2000/3/MG.36.3.4.R.html

Liģere, J., Antimirovs, M. Analytical Solutions for Magnetohydrodynamic Problems for Flow of a Conducting Fluid in the Entrance Region of Circular and Plane Channels. Magnetohydrodynamics, 2000, Vol. 36, No. 3, pp.197-206. ISSN 0024-998X. e-ISSN 1574-0579. Available from: doi:10.1023/a:1004806006218

Publication language
English (en)