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<br />Rouqhness Cnn~entration <br /> <br />Tseng and others (1974) conducted experiments to determine channel <br />resi5tance coefficients from artificial roughness elements representative of <br />densely vegetated flood plains. <br /> <br />The energy losses of the flow in densely vegetated flood plains are due. <br />to bed roughness, bank roughness and the resistance of bushes, plants, and <br />trees in the flood plain. <br /> <br />By experimental analysis using a flume, Tseng attempted to achieve <br />various levels of channel resistance. This resistance was related to <br />statistical representations of spacing parameters where roughness elements <br />are spaced randomly as well as in a regular spacing. <br /> <br />In turbulent flow, channel resistance is composed of many types of <br />resistance. In a steady state, nonuniform-flow situation, Tseng showed that <br />the total resistance force could be expressed as <br /> <br />f <br /> <br />= (Cs + Cf + Cw) - <br /> <br />pV2 <br />2 <br /> <br />MX <br /> <br />(13) <br /> <br />where Cs = loss coefficient due to surface resistance <br /> Cf = loss coefficient due to form drag, <br /> Cw = loss coefficient due to surface waves, <br /> p = fluid density, in slugs per cubic foot; <br /> V == mean velocity in direction of flow, in feet per second; <br /> B width of flume, in feet; and <br /> AX = length of channel reach, in feet. <br /> <br />The Cw is difficult to define; therefore it was incorporated into surface <br />resistance and for.m resistance, so that the equation becomes <br /> <br />where <br /> <br />and <br /> <br />where <br /> <br />f <br /> <br />= (Cs + Cf) <br /> <br />PV2 <br />BAX <br />2 <br /> <br />(14) <br /> <br />Cs <br /> <br />fp <br />48' <br /> <br />(15) <br /> <br />Cf <br /> <br />C.NweY <br /> <br />BAX <br /> <br />(16) <br /> <br />f <br />p <br />C. <br />N <br /> <br />Darcy-Weisbach resistance coefficient, <br />wetted perimeter, in feet, <br />= drag coefficient for each roughness element, <br /> <br />number of elements in the flume area B6X, <br />width of element perpendicular to flow, in feet, and <br />depth of flow, in feet. <br /> <br />We <br />y <br /> <br />6 <br />