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<br />I <br />~ <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />. <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I' <br />I <br /> <br />D <br />50 <br /> <br />= sediment riprap size for which 50% by weight of the particles are <br /> <br />smaller; similarily D ,D ,D represent sizes for which 65, 84, <br />65 84 90 <br />and 90% of the particles are smaller <br /> <br />= mean sediment size a distance x downstream from reference location <br /> <br />D <br />50 <br />X <br /> <br />D <br />50 <br />o <br /> <br />= mean sediment size at the reference section <br /> <br />D = effective mean diameter of sediment or riprap <br />m <br />D = sediment size or riprap size <br />s <br />dA = differential area for the fluid entering the control volume <br />1 <br />dA = differential area for the fluid leaving the control volume <br />2 <br />d = thickness of riprap layer <br />rr <br />ds = displacement of a fluid particle during time dt <br />d = scour depth <br />s <br />dt = differential time interval <br />E = energy of a system <br />E = ratio of bed layer thickness to flow depth a/y <br />o <br /> <br />e <br /> <br />= energy per un it mass <br /> <br />e ,e I <br />1 2 <br />e ,e = moment arms; of forces acting on a rock particle <br />3 4 <br />e = eccentricity coefficient <br />c <br />F ,F = pressure force acting at section one and two <br />1 2 <br />F (n), F (n) = functions for the transverse velocity distribution in bends <br />1 2 <br />r B = buoyant force on a particle <br />r b = force exerted at the boundary <br />r = critical Froude number for the beginning of motion of sediment <br />c <br />r D = drag force on a particle <br />r d = drag force on a rock particle <br />r f = fluid force on a particle <br />r = gravitational force on a particle <br />g <br />r i = Ii ft force on a rock particle <br />F = external forces between particles <br />n <br />Fr = Froude number <br /> <br />r <br />s <br />r <br />v <br />r <br />x <br /> <br />= shear force <br />= shear force on a particle <br />= force acting in the x direction <br /> <br />xxxi <br />