Abstract
A mathematical formulation is developed to represent surface deformation and fluid flow phenomena in an electromagnetically-stirred suspension. The constitutive relationships for representing non-Newtonian behavior at high solid loading are deduced from established experimental data. The results show that significant deformation of the surface occurs at high coil current. There is a marked decrease in the fluid velocity once the solid fraction exceeds about 10%. In addition, the velocity varies non-linearly with the current, showing a rapid increase once a certain shear threshold is exceeded.