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The spreading of a cap-shaped spherical droplet of non-Newtonian power-law liquids on a flat and a spherical rough and textured substrate is theoretically studied in the capillary-controlled spreading regime. A droplet whose scale is much…

Soft Condensed Matter · Physics 2017-11-22 Masao Iwamatsu

The surrounding world surprises us by the beauty and variety of complex shapes that emerge from nanometric to macroscopic scales. Natural or manufactured materials (sandstones, sedimentary rocks and cement), colloidal solutions (proteins…

Mathematical Physics · Physics 2009-09-10 Denis Grebenkov

Diffusion of particles through an heterogenous obstacle line is modeled as a two-dimensional diffusion problem with a one--directional nonlinear convective drift and is examined using two-scale asymptotic analysis. At the scale where the…

Analysis of PDEs · Mathematics 2018-04-24 Emilio N. M. Cirillo , Ida de Bonis , Adrian Muntean , Omar Richardson

We study the steady laminar advective transport of a diffusive passive scalar released at the base of narrow three-dimensional longitudinal open channels with non-absorbing side walls and rectangular or truncated-wedge-shaped…

Fluid Dynamics · Physics 2020-02-14 Merlin A. Etzold , Julien R. Landel , Stuart B. Dalziel

Using coarse grained models we investigate the behavior of water adjacent to an extended hydrophobic surface peppered with various fractions of hydrophilic patches of different sizes. We study the spatial dependence of the mean interface…

Statistical Mechanics · Physics 2014-09-09 Adam P. Willard , David Chandler

We theoretically study the self-propulsion of a thin (slender) colloid driven by asymmetric chemical reactions on its surface at vanishing Reynolds number. Using the method of matched asymptotic expansions, we obtain the colloid…

Soft Condensed Matter · Physics 2018-03-21 Yahaya Ibrahim , Ramin Golestanian , Tanniemola B. Liverpool

Dynamics of spreading of viscous non - volatile fluid droplets on surfaces is modelled using a solid - on - solid model, which is studied with Monte Carlo simulations. Tendency for dynamical layering and surface attraction are in part…

Condensed Matter · Physics 2009-10-22 O. Venäläinen , T. Ala-Nissila , K. Kaski

We study spreading dynamics of nematic liquid crystal droplets within the framework of the long-wave approximation. A fourth order nonlinear parabolic partial differential equation governing the free surface evolution is derived. The…

Fluid Dynamics · Physics 2013-07-19 Te-Sheng Lin , Lou Kondic , Uwe Thiele , Linda J. Cummings

Direct Numerical Simulations of two superposed fluids in a channel with a textured surface on the lower wall have been carried out. A parametric study varying the viscosity ratio between the two fluids has been performed to mimic both {\bf…

Fluid Dynamics · Physics 2019-05-22 I. Arenas , E. Garcia , M. K. Fu , P. Orlandi , M. Hultmark , S. Leonardi

Flow and transport are studied in transparent model fractures with rough complementary self-affine walls with a relative shear displacement $\vec{u}$. The aperture field is shown to display long range correlations perpendicular to…

Controversy exists regarding whether grain morphology reduces or enhances the drag of a single grain in creeping flows; further complication occurs when orientation dependence for aspherical grains comes into play. To quantify influences of…

Fluid Dynamics · Physics 2024-11-14 Si Suo , Deheng Wei , Budi Zhao , Chongpu Zhai , Yixiang Gan

Shallow flow or thin liquid film models are used for a wide range of physical and engineering problems. Shallow flow models allow capturing the free surface of the fluid with little effort and reducing the three-dimensional problem to a…

Computational Physics · Physics 2018-02-20 Matthias Rauter , Željko Tuković

We report the observation of gravity-capillary waves on a torus of fluid. By means of an original technique, a stable torus is achieved by depositing water on a superhydrophobic groove with a shallow wedge-shaped channel running along its…

Pattern Formation and Solitons · Physics 2021-10-13 Filip Novkoski , Eric Falcon , Chi-Tuong Pham

By applying a hybrid Molecular dynamics and mesoscopic simulation technique, we study the classic convection-diffusion problem of Taylor dispersion for colloidal discs in confined flow. We carefully consider the time and length-scales of…

Soft Condensed Matter · Physics 2009-03-23 Jimaan Sané , Ard A. Louis , Johan Padding

Depinning of two-dimensional liquid ridges and three-dimensional drops on an inclined substrate is studied within the lubrication approximation. The structures are pinned to wetting heterogeneities arising from variations of the strength of…

Pattern Formation and Solitons · Physics 2011-12-30 Philippe Beltrame , Edgar Knobloch , Peter Hänggi , Uwe Thiele

The spreading of a cap-shaped spherical droplet of non-Newtonian power-law liquids on a completely wettable spherical substrate is theoretically studied. Both convex spherical substrates and concave spherical cavities with smooth or rough…

Soft Condensed Matter · Physics 2018-12-18 Masao Iwamatsu

Transport of viscous fluid through porous media is a direct consequence of the pore structure. Here we investigate transport through a specific class of two-dimensional porous geometries, namely those formed by fluid-mechanical erosion. We…

Fluid Dynamics · Physics 2020-05-20 Shang-Huan Chiu , M. N. J. Moore , Bryan D. Quaife

For the development of porous materials with improved transport properties, a key missing ingredient is to determine the relations between growth kinetics, structure, and transport parameters. Here, we address these relations by studying…

Statistical Mechanics · Physics 2024-03-14 Gabriela B. Correa , Renan A. L. Almeida , Fabio D. A. Aarao Reis

Fluids at supercritical pressures exhibit large variations in density near the pseudo critical line, such that buoyancy plays a crucial role in their fluid dynamics. Here, we experimentally investigate heat transfer and turbulence in…

Fluid Dynamics · Physics 2025-06-11 Marko Draskic , Jerry Westerweel , Rene Pecnik

In this paper we present a mathematical analysis of thin film flow and heat transfer to a laminar liquid film from a horizontal stretching sheet. The flow of thin liquid film and subsequent heat transfer from the stretching surface is…

Fluid Dynamics · Physics 2016-03-14 Prashant G Metri , Jagdish Tawade , M Subhash Abel
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