Example 4— Calculation of Energy, Momentum, and Energy and Momentum Fluxes 



The tabulations of average potential, kinetic, and total energy and energy fluxes and 

 average momentum and momentum fluxes are presented in Table XI. The calculation of 

 these quantities in dimensional form is straightforward and will simply be presented without 

 discussion. 



Average Potential Energy (Table XI, Item 2) 



PE = 0.213(8080) = 1721 ft-lb/ft^ 

 Average Kinetic Energy (Table XI, Item 3) 



KE = 0.254(8080) = 2052 ft-lb/ft^ 

 Total Energy (Table XI, Item 4) 



TE = 0.467(8080) = 3773 ft-lb/ft^ 

 Energy Flux (Table XI, Item 5) 



r.' ^TE 



TE ( YlP~T 



8 T 



= 0.447 



F^g = 0.447(349166) = 156077 ft-lbs/ (f t-sec) 



Group Velocity (Table XI, Item 6) 



Cg = 0.957(43.21) = 41.36 ft/sec 



82 



