MHD from a Microscopic Concept and Onset of Turbulence in Hartmann Flow  

作　　者：L.Jirkovsky L.Ma.Bo-ot C.M.Chiang 

机构地区：[1]Department of Informatics and Geo-informatics,Fakulta Zivotniho Prostredi,University of J.E. Purkyne [2]National Institute of Physics,University of the Philippines [3]Department of Architecture,National Cheng Kung University [4]Taiwan College of Architecture,University of the Philippines

出　　处：《Communications in Theoretical Physics》2010年第3期579-583,共5页理论物理通讯（英文版）

摘　　要：We derive higher order magneto-hydrodynamic （MHD） equations from a microscopic picture using pro-jection and perturbation formalism. In an application to Hartmann flow we find velocity profiles flattening towards the center at the onset of turbulence in hydrodynamic limit. Comparison with the system under the effect of a uniform magnetic field yields difference in the onset of turbulence consistent with observations, showing that the presence of magnetic field inhibits onset of instability or turbulence. The laminar-turbulent transition is demonstrated in a phase transition plot of the development in time of the relative average velocities vs. Reynolds number showing a sharp increase of the relative average velocity at the transition point as determined by the critical Reynolds number.

关 键 词：projection techniques onset of turbulence MHD Hartmann flow 

分 类 号：O361.3[理学—流体力学]