The work analyzes an axisymmetric steady jet flow of a viscous incompressible conductive fluid induced by a point source of momentum located at the end of the semi-infinite linear conductor of electric current. The exact solutions of the full system of MHD equations are obtained for conical self-similar flows. It is shown that with the increase of the current value, the reverse flow is observed along the conductor and at a certain value of the current the bifurcation of the poloidal magnetic field occurs and causes the rotation of the fluid. The stability problem of the solutions obtained is studied. It is shown that rotations occurs due to instability of the flow without rotation and is stable in the class of the disturbances discussed. The non-self-similar problem for MHD submerged jet is studied. The main terms of the asymptotic expansion depending on exact conservation integrals have been found. It is shown that the solution of the problem is not analytic in a point in the infinity, and the type of its non-analyticity has been determined. An approach is formulated, using which it is possible to provide a general solution as the infinite series that complies with the given Reynolds and Batchelor numbers and velocity and magnetic field (or electric current density) profiles in the sphere of a given radius.
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