Analytical Solution for Some MHD Problems on a Flow of Conducting Liquid in the Initial Part of a Channel in the Case of Rotational Symmetry

Advances in Applied and Pure Mathematics: Proceedings of the 2014 International Conference on Pure Mathematics, Applied Mathematics, Computational Methods (PMAMCM 2014) 2014
Jeļena Liģere, Ilona Dzenīte

This paper presents the analytical solution of magnetohydrodynamical (MHD) problems on a developing flow of conducting liquid in the initial part of a channel for the case, when conducting fluid flows into the channel through its wall in the presence of the rotational symmetry in the geometry of the flow. The problems are solved in Stokes and inductionless approximation, and on using integral transforms. The velocity field of the flow is analyzed numerically by means of the obtained solutions.

Keywords
Magnetohydrodynamics, Navier-Stokes equations, analytical solution, channel flow.

Liģere, J., Dzenīte, I. Analytical Solution for Some MHD Problems on a Flow of Conducting Liquid in the Initial Part of a Channel in the Case of Rotational Symmetry. In: Advances in Applied and Pure Mathematics: Proceedings of the 2014 International Conference on Pure Mathematics, Applied Mathematics, Computational Methods (PMAMCM 2014), Greece, Santorini Island, 17-21 July, 2014. Santorini Island: EUROPMENT, 2014, pp.61-67. ISBN 978-1-61804-240-8. ISSN 2227-4588.

Publication language
English (en)