Solutions of laminar mud flow on rectangular channel

Abstract

Mudflow is a common phenomenon in mountainous area. A lot of researches had simulated debris flows with mudflow. However, either numerical analysis or approximate solutions needs a fundamental solution to work with. In the present paper, we focused on the analytical solutions of fluid mud by using the Bingham fluid model. By using the fact that boundary layer is thin, the solutions of steady uniform flow can be constructed on an inclined rectangular channel. The results can be expressed as function of depth ratio between shear layer to whole layer and Bingham number. The limiting cases for narrow channel and wide one can be discussed by changing the depth width ratio. The solutions on wide channel are the same as other research.