CO2 absorption by a confined free film has been investigated using the CFD approach. Particular attention focuses on the relationship between mass transfer and flow behaviour of the confined free film. Simulation results show that the average KL value grows 26.9% for the open window region and 17.4% for the lower-wall region, respectively, in comparison to the values in the upper-wall region, and the average KL value of confined free film along the flow direction is about 19.2% higher than the value of wall-bounded film, which affirms that the use of an open window can significantly enhance mass transfer performance and such effect also has impact on the entire regions. It was revealed that there exist two types of vortices inside the film, inner vortices and interfacial vortices. In addition, a correlation coefficient RΩc is proposed to provide a quantitative measure to characterise the relationship between the local mass concentration profile and vorticity distribution of confined free film. Simulation shows that the average value of RΩc is 0.93, indicating that the two parameters are highly correlated. Furthermore, the cause of lower correlation coefficient value is discussed.

Carbon dioxide (CO2) absorption and interfacial mass transfer across vertically confined free liquid film-a numerical investigation

Flows of two-layer falling films are analyzed by an approximate method. Similar to other film flows, there is a non-uniqueness of steady-traveling waves as solutions of the problem. To select the wave regimes developing in two-layer films, systematic transient computations have been carried out to create a map of the attracting wave regimes which can be used to model real-life processes, for example, mass transfer of a gas between the layers or gas absorption into a two-layer film.

Dominating wave regimes in a two-layer film flowing down a vertical wall

Absorption of a weakly soluble gas into a two-layer film flowing down a vertical wall is studied in the framework of an approximate long-wave model. It is shown that wavy regimes in the film strongly affect the absorption rate. © 2015 American Institute of Chemical Engineers AIChE J, 61: 2058–2069, 2015

Gas absorption into a wavy two-layer falling film

Efficient direct numerical simulation of gas absorption in falling films using a combined high-throughput/high-performance approach

The understanding of wave dynamics in interfacial microchannel flows is important for many technological applications in the micro-device industry. Here, a theoretical and numerical study is undertaken in order to understand the propagation of interfacial waves in a two-layer flow. The flow is considered to be driven by, in separate cases, the force of gravity and a pressure gradient. The results may provide steps towards more efficiently designed microfluidic products, and a better understanding of experimentally observed waves.

Solitary and transitional waves in two-layer microchannel flows

Using an approximate method, families of non-linear steady-traveling periodic waves in a two-layer falling film have been found for the first time. Computed waves have qualitatively similar behavior as that of those found in homogeneous films but the quantitative characteristics of the waves strongly depend on additional similarity parameters in the two-layer films. In particular, the average location of the interface affects the bifurcation scheme of the waves.

/pdf/on-wave-families-in-a-two-layer-falling-film-41tvtod649.pdf

On wave families in a two-layer falling film

In this thesis, two-layer film flows down a vertical wall are studied. The integral method is used to derive an approximate system of evolution equations modelling long-wave flows of the film. Then, families of nonlinear steady-travelling periodic waves are computed. Computed waves have qualitatively similar behaviour to those found in one-layer films but the quantitative characteristics of the waves strongly depend on additional similarity parameters in the two-layer films. In particular, the average location of the interface between the layers affects the bifurcation scheme of the waves. To select the wave regimes which can be used to compare with experiments, systematic transient computations have been carried out to create a map of the attracting wave regimes, so-called dominating waves. For dominating wave regimes, the mass transfer problem for a weakly soluble gas is solved. In particularly, the absorption problem is systematically studied.

Wave regimes and mass transfer in two-layer falling films

The flow of a viscous film emerging over a plate moving through a linear elastic solid in the case when the plate temperature exceeds the melting temperature of the solid is studied. An approximate model for the melting film flow and the solid temperature is stated in the case of known dependencies of the kinematic viscosity and thermal conductivity of the melt on temperature. In the case of constant kinematic viscosity and thermal conductivity, the model describing steady flows was formulated in the work of G. G. Chernyi, “The motion of a plate in a melting solid medium,” J. Appl. Math. Mech. 55, 287 (1991), where a self-similar solution was analytically found for relatively thin films. In this paper, the self-similar solution is numerically calculated in a general case, and it is demonstrated that solutions of the initial value problem for steady flows tend to that solution but do not reach it except a specific case of the inlet flow rate. Linear stability analysis shows that steady flows are unstable in regard to perturbations whose velocities are close to the liquid velocity at the solid–liquid interface.

On the instability of the melting film over a moving hot plate

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