On the Fundamental Formula of Non-Newtonian Flow

Abstract

In this paper, we first deduce the fundamental equations of motion for pseudo-plastic and dilatant fluids. Secondly, it is proved that the equations of minimum dissipation of energy for these fluids are equivalent to the equations of motion, if inertia terms are neglected and external forces derived from a potential or zero. Then, the flow past sphere is approximately solved using this energy method.