Stress Boundary-Conditions in Ferrohydrodynamics

Although much study has been devoted to the fluid magnetic behavior (i.e., ferrohydrodynamics) of the ultrastable, colloidal, magnetizable fluids that are known as ferrofluids, the appropriate stress-boundary conditions for a magnetically unequilibrated medium are lesser known. In this review, the companion stress-boundary conditions are derived in pedagogic detail from the total pressure-viscous-magnetic stress tensor. Phenomena of spin-up flow and other systems are noted as examples of the relationships.