International Scientific Journals
of Scientific Technical Union of Mechanical Engineering "Industry 4.0"

The main purpose of the study was to assess the usability of a new calculation algorithm for determining the surfactants effective diffusion coefficient. The adsorption of a mixture of non-ionic surfactants onto flat water-air interface was considered. Presented algorithm is composed of a two parts: Ward-Tordai equation solver based on Nyström method for integral equations and golden ratio optimization method used in inverse problem. In the investigation the Langmuir model of an isotherm was assumed. Presented algorithm was successfully used to determine the non-ionic surfactant – Nafol 810D (BRENNTAG) effective diffusion coefficient in the diffusion controlled adsorption process.

The problem of the rigid body oscillations, submerged in the liquid of the uniform depth, as the problem of the potential theory is concerned. Small oscillations of the body and disturbances caused by the presence of a body in a liquid are studied. The problem is solved by the Green’s-function method. The solution for the velocity potential is obtained in the form of a system of integral equations with a real kernel.