Abstract Intrinsic permeability of a porous material is crucial parameter in various application fields like e.g. geosciences, materials science, biological sciences and mechanical engineering. In contrast to the often used purely linear models, however, it also (nonlinear) function Reynolds number (Re) with onset influence inertial forces. coarse‐grained continuum models Forchheimer equation d...

Head of Sequence Database Group, EMBL Outstation, European Bioinformatics Institute (EBI), Wellcome Trust Genome Campus, Hinxton, Cambridge, UK CB10 1SD Institut Fédératif ‘Biologie Structurale et Microbiologie’, Bioénergétique et Ingéniérie des Protéines, Centre National de la Recherche Scientifique, 31 chemin Joseph-Aiguier, B.P. 71, 13402 Marseille Cedex 20, France Department of Biochemistry...

Abstract Modeling flow in vegetative fuel beds is a key component any detailed physics-based tool for simulating wildland fire dynamics. Current approaches drag modeling, particularly those employed multiphase computational fluid dynamics (CFD) models, tend to take relatively simple form and have been applied wide range of structures. The suitability these has not rigorously tested conditions w...

Due to the long-term fluid-solid interactions in waterflooding, the tremendous variation of oil reservoir formation parameters will lead to the widespread evolution of preferential flow paths, thereby preventing the further enhancement of recovery efficiency because of unstable fingering and premature breakthrough. To improve oil recovery, the characterization of preferential flow paths is esse...

The current investigation deliberates the consequence of glycerin-based carbon nanotubes with velocity slip in Darcy-Forchheimer porous medium on a convectively heated Riga plate. Fourier heat flux theory was replaced by Cattaneo-Christov theory. Moreover, nonlinear facets radiation are also included energy expression, and this creates expression which becomes highly nonlinear. governing flow p...

The flow of Dense Non-Aqueous Phase Liquid (DNAPL) in highly permeable porous media is characterized by a complex interplay between surface tension, viscous, gravity, and inertia forces. Gravitational effects these systems have been particularly studied the context displacement instability, but little work has focused on impact gravitational forces stable DNAPL non-fractured media. Here, we stu...

The following convective Brinkman-Forchheimer (CBF) equations (or damped Navier-Stokes equations) with potential$ \begin{equation*} \frac{\partial \boldsymbol{y}}{\partial t}-\mu \Delta\boldsymbol{y}+(\boldsymbol{y}\cdot\nabla)\boldsymbol{y}+\alpha\boldsymbol{y}+\beta|\boldsymbol{y}|^{r-1}\boldsymbol{y}+\nabla p+\Psi(\boldsymbol{y})\ni\boldsymbol{g},\ \nabla\cdot\boldsymbol{y} = 0, \end{equatio...

A columnar jointed rock mass is a type of with strong geometric anisotropy and high interface permeability. Its seepage characteristics pose new challenges to the construction maintenance Baihetan Hydropower Station on Jinsha River. The research object in this study (basalt) dam area Station. Similar-material model samples different column dip angles ( <math xmlns="http://www.w3.org/1998/Math/M...

In this paper, we study the a posteriori error estimate corresponding to Brinkman–Darcy–Forchheimer problem. We introduce variational formulation discretized by using finite element method. Then, establish an estimation with two types of indicators related discretization and linearization. Finally, numerical investigations are shown discussed.