Study of the stability of a thin liquid layer in the Landau–Levich problem

The stability of the liquid layer in the Landay–Levich problem is theoretically investigated. The free energy of this layer is the sum of the dispersion (van der Waals) interaction and the specific electrical interaction caused by the presence of two electric layers at both interphase boundaries. In the framework of long-wave approximation, the stability of such a system with respect to perturbations is studied in the system of Navier–Stokes equations. A stability map is provided for different layer thicknesses.

Phenomenological Prediction of Convective Heat and Mass Transfer to Taylor Bubbles Rising in Vertical Pipes

Phenomenological equations derived for the convective heat and mass transfer to Taylor bubbles (TB) rising in vertical cylindrical pipes. Three models presented; first for the bubble thin liquid layer region, second for the rounded nose region, and third for the wake region. The solution is confined to flat-ended Taylor bubbles under laminar flow and constant heat flux conditions. The results compared reasonably well with the experimental data of other investigators.