Wave Motion for Free Interfaces

Example 5.1 Characteristics of Wave Motion for Free Interfaces 

For the air-water interface, we take = 1 g/cnP, = 1 cp attd y = 72 mN/m. The frequency (5 can be calculated from Equation 5.57 and the damping factor Pi from Equation 5.59 in the low viscosity limit. Results are 

Similarly for the oil-water interface, corrected frequency is given by Pc. Equations 5.61 and 5.63 can be used.  

In both cases, damping increases with decreasing wavelength. This behavior is due partly to the increased frequency and partly to the increased velocity gradient for short wavelengths. 

---