Universal stability of thermo-magneto-micropolar fluid motions

Criteria for universal stability of the unsteady motion of an incompressible, electrically conducting linear micropolar fluid with heat transfer in the presence of an arbitrary magnetic field, and in an arbitrary time dependent domain are established. The model of the micropolar fluid employed is essentially the one proposed by Eringen. The interaction between the flow field and the magnetic field is manifested through the Lorentz force and the coupling between the flow and temperature field arises through the Boussinesq equation of state.The stability method employed is an energy technique due to James Serrin. Certain uniqueness theorems for the unsteady and steady flows of thermo-magneto-micropolar fluid are also established.The theorems established for the stability and uniqueness are universal in the sense that they may be applied to any geometry of bound domains and any distribution of the basic field variables.