TY - GEN
T1 - Stability of thin layer of electrically conducting fluid flowing down an inclined plane under the action of transversal magnetic field
AU - Ait Abderrahmane, H.
AU - Vatistas, G. H.
PY - 2007
Y1 - 2007
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=35648982987&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:35648982987
SN - 1563479001
SN - 9781563479007
T3 - Collection of Technical Papers - 38th AIAA Plasmadynamics and Lasers Conference
SP - 903
EP - 915
BT - Collection of Technical Papers - 38th AIAA Plasmadynamics and Lasers Conference
T2 - 38th AIAA Plasmadynamics and Lasers Conference
Y2 - 25 June 2007 through 28 June 2007
ER -