. Analytical solutions of the one-line model of shoreline change. Coast changes; Beach erosion; Shore protection. -1 0 ALONGSHORE DISTANCE (x/B) Figure 42. Shoreline evolution in the vicinity of a groin for variable sand transport rate conditions (two solution areas; 6 = a , = rad ol a _ = rad) oz x , is easier to treat analytically and provides interesting solutions, these circumstances, Equation 11 will take the following form: Under a2 i a da o y _ 1_ oy o . 2 " e 3t dx dX (100) in which a is a function of x only. This is formally the same equation as that descri
. Analytical solutions of the one-line model of shoreline change. Coast changes; Beach erosion; Shore protection. -1 0 ALONGSHORE DISTANCE (x/B) Figure 42. Shoreline evolution in the vicinity of a groin for variable sand transport rate conditions (two solution areas; 6 = a , = rad ol a _ = rad) oz x , is easier to treat analytically and provides interesting solutions, these circumstances, Equation 11 will take the following form: Under a2 i a da o y _ 1_ oy o . 2 " e 3t dx dX (100) in which a is a function of x only. This is formally the same equation as that describing heat conduction in a solid containing a finite source. Consequently, if a grows linearly with x (a = x<* /B) the situation will be identical to the one describing a river mouth of finite length which dis- charges sand at a constant rate. Equations 55 and 56 are the solutions to this case, with reversed sign and q_. replaced by a /B . The solution is R m presented in Figure 26 in dimensionless form. 89. If a is different from zero at the jetty, but still grows lin- early along the x-axis in the shadow zone, the variation in breaking wave angle will be a = a + /a - a \ — o v ^ H vj B (101) 67. 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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