Journal ArticleDOI
The flow of a liquid film along a periodic wall
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In this article, the creeping flow of a liquid film along an inclined periodic wall of arbitrary geometry is considered, and the boundary-integral method for Stokes flow is extended to two-dimensional flows involving free surfaces.Abstract:
The creeping flow of a liquid film along an inclined periodic wall of arbitrary geometry is considered. The problem is formulated using the boundary-integral method for Stokes flow. This method is extended to two-dimensional flows involving free surfaces, and is implemented in an iterative numerical procedure. Detailed calculations for flow along a sinusoidal wall are perfomed. The free-surface profile is studied as a function of flow rate, inclination angle, wave amplitude, and surface tension, and is compared with previous asymptotic solutions. The results include streamline patterns, velocity profiles and wall-shear-stress distributions, and establish criteria for flow reversal. For specified wall geometry, the asymptotic behaviour for very small flow rates is shown to be a strong function of surface tension. It is demonstrated that these results are valid in a qualitative sense for general wall geometries. The analogy between gravity-driven flow and the flow of a liquid layer on a rotating disk (spin coating) is also discussed.read more
Citations
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Journal ArticleDOI
Dynamics and stability of thin liquid films
Richard V. Craster,Omar Matar +1 more
TL;DR: The dynamics and stability of thin liquid films have fascinated scientists over many decades: the observations of regular wave patterns in film flows along a windowpane or along guttering, the patterning of dewetting droplets, and the fingering of viscous flows down a slope are all examples that are familiar in daily life.
Journal ArticleDOI
Interfacial dynamics for Stokes flow
TL;DR: In this paper, a boundary-integral representation of the Stokes-flow singularities over the interfaces is proposed for flow at vanishing Reynolds number, and the density of the densities of the distributions is identified with the jump in the hydrodynamic traction due to interfacial in-plane and transverse tensions.
Journal ArticleDOI
Water film flow along fracture surfaces of porous rock
Tetsu K. Tokunaga,Jiamin Wan +1 more
TL;DR: In this article, the hydraulic properties of individual fracture surfaces can be meaningfully defined and measured, and that water film flow is a mechanism contributing to fast, unsaturated flow in fractures.
Journal ArticleDOI
Flow in unsaturated fractured porous media: Hydraulic conductivity of rough surfaces
Dani Or,Markus Tuller +1 more
TL;DR: In this paper, a simple geometrical model for rough fracture surfaces is developed offering a tractable geometry for calculations of surface liquid storage due to adsorbed films and capillary menisci.
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A multi-scale approach for CFD calculations of gas–liquid flow within large size column equipped with structured packing
Ludovic Raynal,A. Royon-Lebeaud +1 more
TL;DR: In this article, a multi-scale approach is proposed for post-combustion CO 2 capture process development, which considers liquid-wall and liquid-gas interaction at small scale via two-phase flow calculations using the VOF method, and the latter results are used in three-dimensional calculations run at a meso-scale corresponding to a periodic element representative of real packing geometry.
References
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Journal ArticleDOI
Volume of fluid (VOF) method for the dynamics of free boundaries
C.W Hirt,B. D. Nichols +1 more
TL;DR: In this paper, the concept of a fractional volume of fluid (VOF) has been used to approximate free boundaries in finite-difference numerical simulations, which is shown to be more flexible and efficient than other methods for treating complicated free boundary configurations.
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Viscous and resistive eddies near a sharp corner
TL;DR: In this paper, it was shown that when either or both of the boundaries is a rigid wall and when the angle between the planes is less than a certain critical angle, any flow sufficiently near the corner must consist of a sequence of eddies of decreasing size and rapidly decreasing intensity.
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A numerical study of the deformation and burst of a viscous drop in an extensional flow
J.M. Rallison,Andreas Acrivos +1 more
TL;DR: In this paper, the authors studied the deformation and conditions for breakup of a liquid drop of viscosity λμ freely suspended in another liquid of viscous material with which it is immiscible and which is being sheared, and showed that, for a given Δ, a steady shape is attained only if the dimensionless group Ω ≡4πGμa/γ lies below a critical value Ωc(Δ).
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Numerical solution of free-boundary problems in fluid mechanics. Part 1. The finite-difference technique
Gregory Ryskin,L. G. Leal +1 more
TL;DR: In this article, a finite-difference solution of the equations of motion on an orthogonal curvilinear coordinate system is presented, which is also constructed numerically and always adjusted so as to fit the current boundary shape.