## A textbook of magnetohydrodynamics |

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### Contents

The MHD Approximation | 9 |

The Kinematic Aspect of MHD | 31 |

The Magnetic Force and its Effects | 60 |

Copyright | |

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### Common terms and phrases

Alfven wavelets Alfven waves amplitude axes axial boundary conditions boundary layer charge component compressive conducting fluid conductor consider const constant convection cross-section curl current flow current sheet density diffusion direction dissipation downstream duct effect electric field energy entropy field Bx field lines fluid element flux free surface grad Hartmann layer imposed field incompressible induced currents induced field inertia forces interface inviscid irrotational j x B force length scale linear loop magnetic field magnetic force magnetic pressure Maxwell stresses MGD shock negligible non-conducting normal Note occur Ohm's law ohmic one-dimensional parallel perfectly conducting perpendicular perturbation phase velocity plane plasma plate potential flow Poynting flux Poynting vector pressure gradient problem propagation region relative Reynolds number rotational Show shown in Fig stationary steady flow stream streamwise tangential theorem thermodynamic transverse field two-dimensional upstream vanishes variation vector viscous vorticity wall wavelet z-direction zero