180 



HYDRODYNAMICS IN SMIP DESIGN 



Sec. 48.15 



Horizontal Reference Plane 



Fig. 4S.M Nink Wave Phokii.ks Determined krom a Pair of Stereoscopic Photographs Taken from the 



U. S. S. Oriskany 



(6) Hidaka, K., "Stereophotogrammetric Survey of Waves 



and Swells in the Ooenn," Memoirs, Marine Observa- 

 tory, KoIh', Japan, 1941, Vol. 7, pp. 231-30S 



(7) Marusj<i, A., ■'Stereophotogrammetric Apparatus for 



the Study of Waves Generated by Ship Models," 

 Inter. Shpbldg. Prog., 1955, Vol. 2, No. 15, pp. 

 537-53.S. (Jn page 53S there is a list of references. 



48.15 Comparison Between Waves in Shallow 

 Water and in Deep Water. Sec. 9.10 describes 

 how, when a decp-wator wave move.s into .shallow 

 water (not necessarily up a sloping beach), its 

 celerity decreases for a given wave length L,p , 

 it becomes steeper, and its crests take on a more 

 peaked profile. Table 29 on page 104 of U. S. 

 Navy llydrogruphic Office publication H.O. G02 

 gives the decrease in lengths and velocities of 

 waves of different dimensions as they advance 

 over a shoaling bottom. 



The stead}' tran.slational speed c* of a wave in 

 shallow water of constant depth h is, from Sec. 

 9.10 of V^olume I, 



0. = „.{.a„h(g- 



where c„ is the deep-water wave speed. 

 The .shallow-water wave velocity in a 

 water h may also be expressed as 



-{fe)'-(!;:f" 



The pericKJ of a shallow-water wave 

 Sec. 18.10, 



(!).iv) 



ll'Ulll of 



(IK.iii) 



fron 



The iclatioa Ijctween c^ and c„ is shown gra- 

 phically in Fig. 48.x, adapted from 1^. \V. Taylor 

 [8 and P, 194:^, Fig. 10, p. 12]. Other relation.ships 

 between shallow-water waves and deep-water 

 waves, taken from W. F. Durand [RPS, 1903, 

 Table \', p. 77], ini' given in Table 48.1. 



l ^rLJe'""-' + 1) ]"° 

 L ffCe"*"" - 1) J 



Fio. 'IS.N Graph Showing Ratio Dbtwbrn Wave 

 \'i;M)crriK8 in SiiAi.utw and is Df.ep Water 



