Abstract
Within the framework of the linear theory, a study was made of the hydrodynamic stability of the Couette-Poiseuille flow of a viscous conducting fluid in a transverse magnetic field. The total spectrum of small perturbations was studied for characteristic Hartmann numbers. A classification of perturbations was made in accordance with the behavior of their phase velocity with large wave numbers. Dependences of the critical Reynolds number and of the critical wave number on a parameter characterizing the relationship between the parts of the flow, determined by the motion of plates and by the pressure gradient, were obtained. The character of the asymptotic dependences at large Hartmann numbers was clarified. The article gives an example of a neutral curve formed by two branches of the neutral fluctuations.
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