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<br />Where: <br /> <br />Q = Discharge in cfs <br />A = Flow area in ft 2 <br />t = Time in seconds <br />x = Distance along the channel in feet <br />y = Depth of flow in feet <br />q I = Lateral inflow per unit of channel length <br />S f = Friction slope <br />S = Bed slope <br />o <br />c = The wave celerity in the x direction as defined below. <br /> <br />The wave celerity (c) and the hydraulic diffusivity (P) are expressed as follows: <br /> <br />c = dQ <br /> <br />(24) <br /> <br />dA <br /> <br />fJ = ::.. <br /> <br />(25) <br /> <br />2BS <br />o <br /> <br />where B is the width of the water surface. the convective diffusion equation (23) is <br />the basis for the Muskingum-Cunge method. <br /> <br />In the original Muskingum formulation, with lateral inflow, the continuity <br />equation (1) is discretized on the x-t plane (Figure 3) to yield: <br /> <br />(26) <br /> <br />7-50 <br />