Analytical Solution of a Problem on MHD Flow in a Rectangular Duct

Recent Advances in Mathematics: Proceedings of the 2014 International Conference on Pure Mathematics, Applied Mathematics, Computational Methods (PMAMCM 2015) 2015
Jeļena Liģere, Ilona Dzenīte, Aleksandrs Matvejevs

This paper presents an analytical solution of the MHD problem on a fully developed flow of a conducting fluid in a duct with the rectangular cross-section, located in a uniform external magnetic field, and under a slip boundary condition on side walls of the duct. The flow is driven by a constant pressure gradient. The case of perfectly conducting Hartmann walls and insulating side walls is considered. The solution is derived by using integral transforms.

Keywords
Integral transforms, magnetohydrodynamic duct flow, slip boundary condition
Hyperlink
http://www.inase.org/library/2015/zakynthos/bypaper/MATH/MATH-21.pdf

Liģere, J., Dzenīte, I., Matvejevs, A. Analytical Solution of a Problem on MHD Flow in a Rectangular Duct. In: Recent Advances in Mathematics: Proceedings of the 2014 International Conference on Pure Mathematics, Applied Mathematics, Computational Methods (PMAMCM 2015), Greece, Zakynthos island, 16-20 July, 2015. Zakynthos island: INASE, 2015, pp.118-120. ISBN 978-1-61804-323-8. ISSN 2227-4588.

Publication language
English (en)