In industry there is an increasing need to accurately predict the flow of fine powders from mass flow hoppers. This need arises due to the fact that the capacity of a plant may be governed by the powder flow rate obtainable from a mass flow bin, since for powders the fluid particle interaction effects become significant. Further, to make decisions to improve the flow rate a complete understanding of the flow situation is necessary. This paper presents an analysis which accounts for the complex fluid-particle interaction effects. This analysis is developed by considering the flow of a powder through a suitable incremental element. An approximate analytical solution for the flow variables is then obtained by assuming a suitable expression for the flow stress field.