SYMBOLS AND DEFINITIONS— Continued 



wave height 



negative fraction of lift force cycle 



wavelength 



wave period 



time since last wave crest passed over center of pipe 

 section 



horizontal component of water particle velocity if pipeline 

 was absent 



maximum horizontal water particle velocity if pipeline was 

 absent 



volume of fluid displaced by pipe section 



vertical component of water particle velocity if pipeline 

 was absent 



maximum vertical water particle velocity if pipeline was 

 absent 



vertical distance of center of pipe section above bottom 



horizontal component of water particle acceleration if pipe- 

 line was absent 



vertical component of water particle acceleration if pipe- 

 line was absent 



27Tt/T = position of wave cycle over center of pipe section 

 with respect to time 



V kinematic viscosity of fluid 



p mass density of fluid 



(j) phase shift of maximum lift forces with respect to wave cycle 



Computer Programs 



Input Parameters: 



ANGLE orientation angle 



C calibration factor for manual digitizer 



max 



z 

 3u/9t 



dv/dt 



I I 



