Abstract
In this paper, we consider the effect of the presence of a monomolecular film on the free water surface of infinite horizontal extant. The expressions for the velocity field and the mass transport velocity are presented for the motion induced by a surface progressive wave in the regions of the free surface and the bottom boundary layers as also in the interior region. The bottom boundary layer is assumed fully turbulent and the model developed by Trowbridge and Madsen [ J. Geophys. Res. 89, C5 (1984)] is used. Also the wave damping coefficient is calculated. It is shown that the vorticity flux across the bottom boundary of the free surface boundary layer varies with the film compressional modulus and the solubility. As the latter increases the vorticity approaches the constant value relevant to the corresponding uncontaminated fluid problem. The presence of the film enhances the rate of wave energy dissipation to O(√ v), where v is the kinematic viscosity. Also it is shown that this rate decreases as the solubility increases. Similar motion characteristics are found to hold in the mass transport across the boundary layer into the interior. The quasi-steady conduction solution of the interior is developed.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
