APPENDIX C 



LONGSHORE CUKRF.NT FORMULAS 



Authors 



Mean Longshore Current, V 



Formulation 



Eq. 

 No. 



Putnam-Munk- 

 Traylor (1949) 



sln2a, , ,. 

 [6.97gf tanB H^^-^J^^^ 



Energy Conservation, 

 Solitary waves 



1.1 



Eagleson (1965) 



slnesinaj^sin2a^^ 

 Is 8""b f ' 



Momentum Conservation, 



Asymmetric-periodic 



waves 



1.2 



Putnam- Munk- 

 Traylor (1949) 



1 [(1 + 1 2.28gH^slnaj^)^/2 - 1] 

 A =. 20.88 '^f coso^Hj, 



Momentum Conservation, 

 Solitary waves 



1.3 



Gal vln- Eagle son 

 (1965) 



gTtanBsln2a 



Mass Conservation 



1.4 



Inman-Bagnold 

 (1963) 



^ ^, KlltanB 



2.31 _ cosa, slna, 



1 DO 



Mass Conservation, 

 Rip currents included 



1.5 



Bruun (1963) 



, ,0.95 „ 3/2 ^^"^^^"20^,1/2 



Mass Conservation 



1.6 



Bruun (1963) 



KitaiiBcosa 



T 



Mass Conservation, 

 Rip currents Included 



1.7 



Inraan-Qulnn 

 (1951) 



[(,J, -^2.28gH^sina^)l/2_ l^j2 



tanBH, cosa, 

 A - 108.3 1 ^ 



Empirical-based on 

 momentum analysis 



1.8 



Brebner-Kamphlus 

 (1963) 



1/3 «'^^ 

 8.0 sin ' B °,,- {sin 1.65a 

 ^1/3 



+ 0.1 sin 3.30a ] 

 o 



Empirical-based on 

 momentum analysis 



1.9 



Brebner-Kamphlus 

 (1963) 



H 3/A 



lA.O sln^^^B -^rm; [sin 1.65 a 

 ^1/2 o 



+ 0.1 sin 3.30 a ] 



Empirical-based on 

 energy analysis 



1.10 



Harrison (1968), 



0.241 H^j + 0.0318 T + 0.037A a^ 

 + 0.0309 tanB - 0.170 



Empirical-least 

 square analysis 



1.11 



2 41 



