On the plane steady flows of a viscous incompressible fluid of finite electrical conductivity in the presence of a magnetic field
Basic equations describing the motion of a viscous incompressible fluid of finite electrical conductivity in the presence of a magnetic field (1) for constant vorticity flows are recast in a new form. It is indicated that the other flow variables can be expressed either in terms of the magnetic flux function 'fi' or the stream function 'psi' where these functions satisfy a partial differential equation whose every solution, including Naeem (1996), is a solution to the basic flow equations and (2) for variable vorticity flows an unknown function f(r) is introduced in the basic flow equations. The solutions are determined and one solution admits, as a particular case, Naeem's solution by appropriately choosing the arbitrary constants therein. Some applications of the solutions to physically possible situations are also presented.
Bibliogr. 2 poz.