Convection in Porous Media

By Brian Straughan. 2008

2,415 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/fed5002219ef9bbadd617bbde3dd4b0b4e608f99

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

Citations in the corpus

A multiple-relaxation-time lattice Boltzmann model for convection heat transfer in porous media (2013, background): “In addition, it is assumed that the solid phase is in local thermal equilibrium with the fluid phase [2].”
A coupled PFEM–Eulerian approach for the solution of porous FSI problems (2012, methodology): “This velocity is related to the fluid velocity averaged on the empty area (u f ), by the Dupuit-Forchheimer equation [19] u f = nu f where n is the porosity.”
Well-posedness of the Muskat problem with H2 initial data (2014, positive): “The presence of the solid matrix inside the porous medium has an important consequence: the usual fluid equations for the conservation of momentum are replaced with the empirical Darcy’s Law (see [2, 48]) given by μ β u = −∇p− (0, gρ) , (1.”
Effects of nanoparticles diameter and concentration on natural convection of the Al2O3–water nanofluids considering variable thermal conductivity around a vertical cone in porous media (2015, neutral): “The effective thermal conductivity of the porous medium and the nanofluid is evaluated using the weighted geometric mean of ks and knf, defined as [18]:”
Thermal management improvement of an air-cooled high-power lithium-ion battery by embedding metal foam (2015, neutral): “Heat and mass transfer in porous media is an interesting topic that has been largely studied in the past decades in different areas of applied science, engineering and industry [7,8].”
Effect of Magnetohydrodynamics on Heat Transfer Behaviour of a Non-Newtonian Fluid Flow over a Stretching Sheet under Local Thermal Non-Equilibrium Condition (2021, methodology): “It is also assumed that the magnetic field B is applied The heat transfer analysis of the liquid and solid phase is analysed using two different heat transport equations [4,26]: perpendicular to the sheet.”
Numerical study of natural convection in a vertical porous annulus with discrete heating (2011, background): “Using Bejan’s heatlines method, Kaluri et al. [40] analyzed the optimal heating in a square cavity filled with a fluid saturated porous medium for three different thermal conditions.”
Theoretical and numerical analyses of chemical‐dissolution front instability in fluid‐saturated porous rocks (2008, methodology): “It is noted that in Equations (1)–(3), the chemical-species concentration, the fluid density and average linear velocity of the pore-fluid are defined in the pore space, while the source/sink term and the Darcy velocity of the pore fluid are defined in the whole medium space [27, 30, 31].”
UNIFORMLY-STABLE FINITE ELEMENT METHODS FOR DARCY-STOKES-BRINKMAN MODELS (2008, methodology): “Introduction In this paper, we consider the following model equations on a bounded, connected, and polygonal domain Ω ⊂ Rd (d = 2, 3) (Fig.”
Poiseuille flow in a fluid overlying a porous medium (2008, background): “The problem of fluid flow over a porous medium has a rich history, especially in connection with thermal convection (see e.g. Nield 1977, 1983, 1991, 1998; Chen & Chen 1988; Straughan 2002; Carr & Straughan 2003; Carr 2004; Chang 2005, 2006; Nield & Bejan 2006; Hirata et al. 2007).”
Onset of convection in a gravitationally unstable diffusive boundary layer in porous media (2005, background): “For steady base states, linear stability theory leads to an algebraic eigenvalue problem (Drazin & Reid 1981; Nield & Bejan 1999).”
Numerical modelling and passive flow control using porous media (2008, background): “This is a priori difficult to handle as the governing equations are different and the coupling at the interface is not straightforward [27].”
Boundary layer associated with the Darcy–Brinkman–Boussinesq model for convection in porous media (2011, methodology): “, D̃a∆v, is needed if the porosity of the media is large or the domain has a boundary so that the no-slip, no-penetration condition must be imposed [40, 28].”
Modeling Turbulent Flows in Porous Media (2020, background): “As a final note, there has been significant and at times vigorous discussion in the literature on the importance of the order of application of the time and spatial averages for turbulence in porous materials (Lage 1998, Lage et al. 2002, Nield 2001, Nield & Bejan 2017, Travkin 2001).”
Macroscopic model for unsteady flow in porous media (2019, background): “Despite its lack of rigorous formal derivation, this type of approach has been considered as a valid one and became classical over the past half-century (Rajagopal 2007; Bories et al. 2008; Nield & Bejan 2013).”
Smooth attractors for the Brinkman-Forchheimer equations with fast growing nonlinearities (2011, methodology): “The BF equations are used to describe the fluid flow in a saturated porous media, see [16, 21] and references therein.”
Solutal-convection regimes in a two-dimensional porous medium (2014, background): “Convection in porous media is an important process in many geological and industrial settings (Nield & Bejan 2006).”
Radiation Effects on Mixed Convection over a Wedge Embedded in a Porous Medium Filled with a Nanofluid (2011, background): “Theories and experiments of thermal convection in porous media and state-of-the-art reviews with special emphasis on practical applications are presented in the recent books by Nield and Bejan (2006), Pop and Ingham (2001), Ingham and Pop (2002), Bejan et al. (2004) and Vafai (2005).”