Physical Sciences and Mathematics Commons^™

Modeling Of Overland Flow By The Diffusion Wave Approach, Rao S. Govindaraju, S. E. Jones, M. L. Kavvas

KWRRI Research Reports

One of the major issues of present times, i.e. water quality degradation and a need for precise answers to transport of pollutants by overland flow, is addressed with special reference to the evaporator pits located adjacent to streams in the oil-producing regions of Eastern Kentucky. The practical shortcomings of the state-of-the-art kinematic wave are discussed and a new mathematical modeling-approach for overland flows using the more comprehensive diffusion wave is attempted as the first step in solving this problem. A Fourier series representation of the solution to the diffusion wave is adopted and found to perform well. The physically justified …