Stability of Hartmann flow with respect to two-dimensional perturbations of finite amplitude

K. B. Pavlov - S. L. Simkovich

Abstract
This paper considers the hydrodynamic stability of Hartmann flow with respect to plane two-dimensional perturbations of finite amplitude. On the basis of calculations made for values of the Hartmann number equal to 0, 1, and 2, plots are made of the dependences of the values of the critical Reynolds number, at which loss of stability of laminar flow conditions sets in, on the amplitude of the perturbation.