Application of Integral Transforms for Solving Some MHD Problems

Advances in Mathematical and Computational Methods: Proceedings of the 14th WSEAS International Conference on Mathematical and Computational Methods in Science and Engineering (MACMESE’12) 2012
Jeļena Liģere, Ilona Dzenīte

This paper describes the applications of Hankel and Fourier transforms for obtaining analytical solutions of some MHD problems. In particular, the problem on an inflow of conducing fluid through the round hole on channel’s lateral side is solved in Stokes and inductionless approximation by using Hankel transform. The application of Fourier transform is briefly shown for the similar MHD problem, but the channel has a plane split on its lateral side. On the basis of the obtained solutions, the velocity field of the flow is analyzed numerically by using the package “Mathematica”.

Atslēgas vārdi
Magnetohydrodynamics, integral transform, channel flow, Stokes approximation

Liģere, J., Dzenīte, I. Application of Integral Transforms for Solving Some MHD Problems. No: Advances in Mathematical and Computational Methods: Proceedings of the 14th WSEAS International Conference on Mathematical and Computational Methods in Science and Engineering (MACMESE’12), Malta, Sliema, 7.-9. septembris, 2012. Sliema: WSEAS Press, 2012, 286.-291.lpp. ISBN 978-1-61804-117-3. ISSN 2227-4588.

Publikācijas valoda
English (en)