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Research Paper | Mathematics | Kenya | Volume 8 Issue 5, May 2019

Numerical Investigation of the River Flood Wave Propagation Rate and its Destruction Power Effects Downstream

Okoth C.B. | Sigey J.K | Okelo A.J. | Marigi E.

Abstract: The study investigated the flood wave propagation rate and its destruction power effects downstream of the river. The two dimensional advection-diffusion (2D-ADE) governing equation describing the river flood wave propagation rate downstream with the boundary conditions was solved by Finite Difference Method (FDM) using the MATLAB computer generated program. Using the advection-diffusion equation model, the effects of varying the river slope, the river hydraulic radius and the river flow velocity on river flood wave propagation rate downstream were considered. It was determined that an increase in the river flow velocity and river slope leads to the increase in flood wave flow rate and hence maximum destruction power effects downstream. It was also determined that an increase in the river hydraulic radius leads to the decrease in flood wave flow rate and hence decreased destructive power effects downstream. The effects of changing these river channel flow parameters on theriver flood wave propagation rate downstream are presented in tabular form and graphically

Keywords: River slope, Hydraulic radius, Celerity, Diffusivity, propagation rate

Edition: Volume 8 Issue 5, May 2019,

Pages: 2127 - 2134