The effect of non-absorbable gas on an absorption process for the falling film flow inside a porous medium

Free-surface stability of a damped thin-film flow

“…For instance, using water as a working fluid and an effective Reynolds number Re = 1, with = 0.1, the characteristic film thickness scale equals H = 10 −13/3 . With the latter estimate, the values of the damping parameter for the porous layer heat exchangers considered in [8,9], are within the range 0.44 ≤ λ ≤ 300.0. In [6] the values of the damping parameter used for comparison with experimental results range from λ = 1.0 × 10 −4 to λ = 49.0.…”

“…Examples include the manufacturing of magnetic storage devices [1,2], the extraction of a porous layer from a fluid bath [3], lubrication of journal bearings [4], flows over rough soil surfaces [5,6], flows through polymer brushes [7] and absorption processes in heat exchangers [8,9]. As opposed to flows past a limited number of obstacles [10][11][12], where a computation of instantaneous velocities may be feasible, porous layers contain a large number of obstacles and the fluid velocity must be averaged over a small control volume or over many possible configurations of the obstacles contained within the porous layer.…”

“…Box 1048, 0316 Blindern, Oslo, Norway e-mail: davidmolenaar@gmail.com proportional to the averaged fiber properties, φ ∝ a 2 /L 2 fiber , with average separation length L fiber and fiber radius a, and in a dilute layer, fiber radii are much smaller than the average fiber separation length, a L fiber . Due to the dilute nature of the porous layer, viscous and inertial effects are assumed to be non-negligible [8,9], in contrast to the usual situation in dense porous media. The drag of the obstacles upon the flow is coarse-grained in the form of a linear Darcy damping term in the equations of motion, which take the form of the nonlinear Brinkman equations.…”

2D Coordination Polymer with a 1D Carboxylate‐Copper Chain Based on Rare Icosanuclear and Tetranuclear Clusters

“…The negative θ value confirms the AFM coupling between central metal atoms, and the C value falls in the usual range expected for the polycopper system. [10] According to the topological structure of 1, the system can magnetically be treated as a 1D carboxylate-Cu II chain isolated from each other by the long linker bibp. Evidently, the interchain magnetic interaction through the ligand bibp is so weak that these coupling can be negligible.…”