Kinematic Properties of Pseudosationary Hydromagnetic Fluid Flows

Abstract

By assigning unidirectional to the magnetic field and using geometrical configuration of spatial curves of congruences formed by the steaklines, principal normals and their binormals, kinetic and kinematic properties of pseudostationary hydromagnetic fluid flows are established. It has been observed that the surfaces and the momentum simultaneously cannot be minimal and conserved along a streakline respectively. Also the hydromagnetic pressure remains uniform along an individual binormal to a streakline and decreases along the latter, if the velocity remains uniform. The elegant expressions for vorticity components are obtained and the compatibility conditions to be satisfied by the velocity of the streakline are derived.