scholarly journals Stability estimates and a Lagrange-Galerkin scheme for a Navier-Stokes type model of flow in non-homogeneous porous media

2018 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Imam Wijaya ◽  
◽  
Hirofumi Notsu ◽  
◽  
Keyword(s):  
Porous Media ◽  
Navier Stokes ◽  
Type Model ◽  
Stability Estimates ◽  
Galerkin Scheme ◽  
Homogeneous Porous Media

scholarly journals SOLITARY WAVE INTERACTION WITH A SUBMERGED PERMEABLE BREAKWATER: EXPERIMENT AND NUMERICAL MODELING

2012 ◽  
Vol 1 (33) ◽  
pp. 30 ◽  
Author(s):  
Yun-Ta Wu ◽  
Shih-Chun Hsiao ◽  
Guan-Shiue Chen
Keyword(s):  
Porous Media ◽  
Free Surface ◽  
Solitary Wave ◽  
Stokes Equations ◽  
Wave Interaction ◽  
Numerical Results ◽  
Navier Stokes ◽  
Type Model ◽  
Ensemble Averaging ◽  
Surface Displacements

We study the interactions between a non-breaking solitary wave and a submerged permeable breakwater experimentally and numerically. The particle image velocimetry (PIV) technique was employed to measure instantaneous free surface displacements and velocity fields in the vicinity of the porous media. The porous media, consisted of uniform glass-made spheres, was mounted on the seafloor. Quantitative mean properties were obtained by ensemble averaging 30 repeated instantaneous measurements. In addition, two different numerical considerations are taken to simulate the experiments. One is to model an idealized volume-averaged porous media using a two-dimensional (2D) volume of fluid (VOF)-type model. This model is based on the Volume-Averaged Reynolds-Averaged Navier–Stokes (VARANS) equations coupled with the non-linear k-ε turbulence closure solver. The other is to model the real porous breakwater constructed by spheres using a three-dimensional (3D) VOF-type model. This model solves 3D incompressible Navier–Stokes equations with Large-eddy-simulation (LES) model. The comparisons were performed between measurements, 2D and 3D numerical results for the time histories of the free surface elevation, instantaneous free surface displacements and corresponding velocity properties around the permeable object. Fairly good agreements were obtained. The verified 3D numerical results were used to trace the trajectories of fluid particle around the porous media to help understand the possible sediment movements in suspended loads. Also, the 2D numerical model is used to estimate the energy reflection, transmission and dissipation using the energy integral method by varying the aspect ratio and the grain size of the permeable obstacle.

scholarly journals A critical evaluation of short columns for estimating the attachment efficiency of engineered nanomaterials in natural soils

2021 ◽  
Author(s):  
Knapp Karin Norrfors ◽  
Vesna Micić ◽  
Olga Borovinskaya ◽  
Frank von der Kammer ◽  
Thilo Hofmann ◽  
...  
Keyword(s):  
Porous Media ◽  
Theoretical Approach ◽  
Critical Evaluation ◽  
Packed Columns ◽  
Engineered Nanomaterials ◽  
Natural Soils ◽  
Attachment Efficiency ◽  
Short Columns ◽  
Homogeneous Porous Media

Short, saturated packed columns are used frequently to estimate the attachment efficiency (α) of engineered nanomaterials (ENMs) in relatively homogeneous porous media, but a combined experimental and theoretical approach to...

Convective mixing in homogeneous porous media flow

2017 ◽  
Vol 2 (1) ◽  
Author(s):  
Jia-Hau Ching ◽  
Peilong Chen ◽  
Peichun Amy Tsai
Keyword(s):  
Porous Media ◽  
Porous Media Flow ◽  
Convective Mixing ◽  
Homogeneous Porous Media

Comparison of theory and experiments for dispersion in homogeneous porous media

2010 ◽  
Vol 33 (9) ◽  
pp. 1043-1052 ◽  
Author(s):  
Mark L. Porter ◽  
Francisco J. Valdés-Parada ◽  
Brian D. Wood
Keyword(s):  
Porous Media ◽  
Homogeneous Porous Media ◽  
Theory And Experiments

Resonance-like dynamics in radial cyclic injection flows of immiscible fluids in homogeneous porous media

2017 ◽  
Vol 819 ◽  
pp. 713-729 ◽  
Author(s):  
T. F. Lins ◽  
J. Azaiez
Keyword(s):  
Porous Media ◽  
Flow Instability ◽  
Physical Phenomenon ◽  
Resonance Effect ◽  
Level Set Methods ◽  
Immiscible Fluids ◽  
Interfacial Instabilities ◽  
Viscous Forces ◽  
Homogeneous Porous Media ◽  
Abrupt Changes

Interfacial instabilities of immiscible radial displacements in homogeneous porous media are analysed in the case of sinusoidal injection flows. The analysis is carried out through numerical simulations based on the immersed interface and level set methods. Investigations of the effects of the period of the sinusoidal injection flows revealed a novel resonance effect where, for a critical period, the number of fingers as well as their structures are considerably changed. The resonance in the flow development is clearly identified through the abrupt changes in the Fourier spectrum of the interface as well as quantitative characteristics of the flow in the form of the minimum and maximum radii of the interface. For the range of parameters examined in this study that correspond to instabilities dominated by viscous forces, the resonance period was found to correlate with a characteristic time of the flow and the fluids mobility ratio. This new physical phenomenon offers new perspectives for using the flow instability to determine important physical properties such as the viscosity and the surface tension of fluids.

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