The dynamics and stability of thin liquid films have fascinated scientists over many decades:
the observations of regular wave patterns in film flows down a windowpane or along …

Представлены теоретические основы математического моделирования конвективных
течений с испарением и актуальные направления их исследований. Основное …

When droplets containing suspensions evaporate and dryout, they leave patterns which are
the result of the composition of the liquid as well as the dynamics of evaporation. Exploiting …

The theoretical foundations for mathematical modeling of the convective flows with
evaporation are presented, and the topical research areas are given. The special attention is …

A new exact solution of the equations of free convection has been constructed in the
framework of the Oberbeck–Boussinesq approximation of the Navier–Stokes equations. The …

The quality of foaming products (such as beer and shampoo) and the performance of
industrial processes that harness foam (such as the froth flotation of minerals or the foam …

The combined effects of thermal fluctuations and liquid-solid slip on nanoscale thin-film
flows are investigated using stochastic lubrication equations (SLEs). The previous no-slip …

In the present paper a 3D non-stationary two-sided mathematical model of joint motion of
evaporating liquid film and cocurrent gas flow in a microchannel with local heating has been …

The two-dimensional solutions and stability analysis are presented for an evaporating thin
viscous liquid film flowing inside a uniformly heated rotating horizontal cylinder. A non …

Studies on the evaporation of multicomponent droplets have revealed complex and
important physical mechanisms, induced by preferential phase change or mediated by …