. Analytical solutions of the one-line model of shoreline change. Coast changes; Beach erosion; Shore protection. 0 1 2 ALONGSHORE DISTANCE (x/L) Figure 24. Shoreline evolution in the vicinity of a river dis- charging sand and acting as a point source 55. If the sand discharge has a periodic behavior, the function q could take the following form: qR(t) = qQ + qs sin (tot + (j>) (48) where q = steady sand discharge from river q = amplitude of periodic sand discharge a) = angular frequency = 2ir/T T = period of oscillation of sand discharge from river = phase angle of periodic variation The s
. Analytical solutions of the one-line model of shoreline change. Coast changes; Beach erosion; Shore protection. 0 1 2 ALONGSHORE DISTANCE (x/L) Figure 24. Shoreline evolution in the vicinity of a river dis- charging sand and acting as a point source 55. If the sand discharge has a periodic behavior, the function q could take the following form: qR(t) = qQ + qs sin (tot + (j>) (48) where q = steady sand discharge from river q = amplitude of periodic sand discharge a) = angular frequency = 2ir/T T = period of oscillation of sand discharge from river = phase angle of periodic variation The solution consists of two parts, namely Equation 47 describing the shore- line evolution from a steady point source and the following solution which accounts for the periodic component: 39. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Larson, Magnus; Hanson, Hans; Kraus, Nicholas C; U. S. Army Engineer Waterways Experiment Station; Coastal Engineering Research Center (U. S. ); United States. Army. Corps of Engineers. [Vicksburg, Miss. : U. S. Army Engineer Waterways Experiment Station ; Springfield, Va. : available from National Technical Information Service]
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