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<br />outflow, storage, and losses within the study area, <br /> <br />b, Theory <br /> <br /> <br />The governing equations used in FLO-2D to route water flow and/or <br /> <br /> <br />hyperconcentrated sediment flow include the numerical integration of the continuity <br /> <br /> <br />equation and the dynamic wave equation, The continuity equation ensures the <br /> <br /> <br />conservation of fluid volume, and the form used in this analysis is: <br /> <br />dh dh*V, dh*V <br />i=-+ + ' (1) <br />dt dx dy <br />Where: = Excess rainfall intensity <br /> h = flow depth <br /> t = time <br /> V"Vy = depth average velocity <br /> <br />The dynamic wave equations estimate the motion of the fluid and are shown as: <br /> <br />SIX = Sox- dh _ Vx * dV, _ Vy * dVx _.!.* dvx <br />dxgdx gdygdt <br /> <br />(2) <br /> <br />Sty=SOy_dh_ Vy*dVy_ V,*dVy_.!.*dVy <br />dygdy gdxgdt <br /> <br />(3) <br /> <br />Where: S"" Sty = Friction Slope <br /> S"", SOY = Bed Slope <br /> h = Flow depth <br /> V"V, = Depth averaged velocity <br /> g = Coefficient of gravity <br /> t = time <br /> <br />Approximations of these equations, the kinematic wave equation or the diffusive <br />wave equation, can be used with little loss in accuracy when the drainage slopes are <br /> <br />II <br />