A semi‐analytical solution of surface flow and subsurface flow on a slope land under a uniform rainfall excess

• DOI: 10.1002/nag.1128
• Publication Date: 2011-12-30T15:03:21Z
• Authors: Ping‐Cheng Hsieh; Jia‐Si Yang
• Keywords: Subsurface Flow; Hele-Shaw flow; Biot number; Isothermal flow

SUMMARY A new approach is proposed to analyze the surface flow and subsurface passing over a pervious ground under uniform rainfall excess. The field divided into two regions that are called water layer soil . To figure out hydraulic behavior of overland on an inclined plane event, simplified Navier–Stokes equations employed for flow, inside porous media which governed by Biot's (1956, 1962) theory poroelasticity. velocity distribution nonzero at surface. relation between depth slope length was developed first. profile then found backwards from downstream end section Runge–Kutta method. After that, discharge each could also be obtained via depth. Finally, variation fluid shear stress discussed. Copyright © 2011 John Wiley & Sons, Ltd.