Stability of thin layer of electrically conducting fluid flowing down an inclined plane under the action of transversal magnetic field

H. Ait Abderrahmane, G. H. Vatistas

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper examines theoretically the MagnetoHydroDynamic (MHD) stability of long waves developed on an electrically conducting film of fluid, flowing at high Reynolds numbers down an inclined plane, under the synergetic action of gravity and constant uniform transversal magnetic field. We show the stabilization effect of magnetic field on the development of hydraulic jump and stationary oscillatory surface through linear stability analysis in comparison with pure hydrodynamic case. The problem is described by the MHD equations where second order terms, with respect to the long wave parameter are considered. The Karman-Polhausen integral method is used to reduce the governing equation into a single nonlinear equation.

Original languageBritish English
Title of host publicationCollection of Technical Papers - 38th AIAA Plasmadynamics and Lasers Conference
Pages903-915
Number of pages13
StatePublished - 2007
Event38th AIAA Plasmadynamics and Lasers Conference - Miami, FL, United States
Duration: 25 Jun 200728 Jun 2007

Publication series

NameCollection of Technical Papers - 38th AIAA Plasmadynamics and Lasers Conference
Volume2

Conference

Conference38th AIAA Plasmadynamics and Lasers Conference
Country/TerritoryUnited States
CityMiami, FL
Period25/06/0728/06/07

Fingerprint

Dive into the research topics of 'Stability of thin layer of electrically conducting fluid flowing down an inclined plane under the action of transversal magnetic field'. Together they form a unique fingerprint.

Cite this