## Finite magnetic Reynolds number effects in magnetogasdynamic flows |

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### Contents

Derivation of Governing Equations | 3 |

The Basic Sinusoidal Modes | 9 |

Application of Boundary Conditions | 16 |

9 other sections not shown

### Common terms and phrases

Aerospace Engineering analytic Appendix assumed asymptotic expansion backward wake backward-facing wake basic modes behaviour boundary conditions branch cut component compute continuity equation Cornell University current density distributions damped waves different regimes diffusive regions discussion dispersion relation distributions of current disturbance electrical conductivity elliptic error function everywhere expression in Eqn facing wave Field in Region FINITE MAGNETIC REYNOLDS fluid forward-facing waves Fourier synthesis given in Chapter hyperbolic implies inclination angle infinite Rm infinity integral tables integrand irrotational ith root Laplace Transform large but finite leading and trailing limit lines of constant magnetic field magnetic Reynolds number magnetogasdynamic flow magnitude analysis negligible obtained order of magnitude parabolic perturbation replaced results of Eqns rewrite root for large second expression simplified sinusoidal modes solutions Substituting Eqns superposition symmetry relations Taniuti-Resler diagram term trailing edges Transform U.S. Air Force valid vjj(x wavelengths x-axis x-y plane y-axis