An Historical and Topical Note on Convection in Porous Media

2013 ◽  
Vol 135 (6) ◽  
Author(s):  
D. A. Nield ◽  
A. V. Kuznetsov
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Porous Materials ◽  
Analytical Modeling ◽  
Single Phase ◽  
Saturated Porous Media ◽  
Early Literature ◽  
The Third ◽  
Convection In Porous Media

This note deals with three main themes. The first is a discussion of the early literature on convection in porous media. The second is a brief overview of current analytical modeling of single-phase convection in saturated porous media and in composite fluid/porous-medium domains. The third is a brief discussion of some pertinent recent studies involving nanofluids, cellular porous materials, bidisperse and tridisperse porous media.

Transitional behaviour of convective patterns in free convection in porous media

2017 ◽  
Vol 818 ◽  
Author(s):  
Hamid Karani ◽  
Christian Huber
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Stability Analysis ◽  
Transition Point ◽  
Stability Diagram ◽  
Saturated Porous Media ◽  
Two Dimensional ◽  
Cell Pattern ◽  
Convection In Porous Media ◽  
Basin Stability

The present study focuses on the transition between steady convective patterns in fluid-saturated porous media. We conduct experiments to identify the transition point from the single- to double-cell pattern in a two-dimensional porous medium. We then perform a basin stability analysis to assess the relative stability of different convective modes. The resulting basin stability diagram not only provides the domains of coexistence of different modes, but it also shows that the likelihood of finding convective patterns depends strongly on the Rayleigh number. The experimentally observed transition point from single- to double-cell mode agrees well with the stochastically preferred mode inferred from the basin stability diagram.

scholarly journals Transient Fluid Motions in Saturated Porous Media

1957 ◽  
Vol 10 (1) ◽  
pp. 43 ◽  
Author(s):  
JR Philip
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Heat Conduction ◽  
Exact Solutions ◽  
Kinematic Viscosity ◽  
Saturated Porous Medium ◽  
Steady Motion ◽  
Potential Gradient ◽  
Saturated Porous Media ◽  
Approximate Analysis

The transition from rest to steady motion on the sudden application of a potential gradient to the fluid contained in a saturated porous medium is investigated. An approximate analysis gives the result that the time of the effective establishment of the steady motion is proportional to the permeability and inversely proportional to the kinematic viscosity. Two exact solutions (one of them new) for simple cases suggest that the approximate analysis is remarkably accurate. An analogy between this problem and one in heat conduction makes the relevant results in that field immediately applicable here.

Non-Darcy Mixed Convection With Thermal Dispersion in a Saturated Porous Medium

2009 ◽  
Vol 132 (1) ◽  
Author(s):  
V. V. Sobha ◽  
R. Y. Vasudeva ◽  
K. Ramakrishna ◽  
K. Hema Latha
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Porous Media ◽  
Nusselt Number ◽  
Mixed Convection ◽  
Vertical Plate ◽  
Saturated Porous Medium ◽  
Thermal Dispersion ◽  
Convection In Porous Media ◽  
Infinite Vertical Plate

Thermal dispersion due to local flows is significant in heat transfer with forced convection in porous media. The effects of parametrized melting (M), thermal dispersion (D), inertia (F), and mixed convection (Ra/Pe) on the velocity distribution, temperature, and Nusselt number on non-Darcy, mixed convective heat transfer from an infinite vertical plate embedded in a saturated porous medium are examined. It is observed that the Nusselt number decreases with increase in melting parameter and increases with increase in thermal dispersion.

scholarly journals Pushing Droplet Through a Porous Medium

2021 ◽  
Author(s):  
Maciej Matyka
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Mechanical Model ◽  
Single Phase ◽  
Soft Body ◽  
Mass System ◽  
Porous Domain ◽  
Phase Fluid

AbstractI use a mechanical model of a soft body to study the dynamics of an individual fluid droplet in a random, non-wettable porous medium. The model of droplet relies on the spring–mass system with pressure. I run hundreds of independent simulations. I average droplets trajectories and calculate the averaged tortuosity of the porous domain. Results show that porous media tortuosity increases with decreasing porosity, similar to single-phase fluid study, but the form of this relationship is different.

scholarly journals FEATURES OF THE FRACTIONAL-DIFFERENTIAL APPROACH IMPLEMENTATION TO DESCRIBE THE PROCESS OF FEEDING A TWO-PHASE ZONE DURING SOLIDIFICATION OF METALS AND ALLOYS

2021 ◽  
pp. 88-91
Author(s):  
Tatjana Selivyorstova ◽  
Vadim Selivyorstov ◽  
Yuliia Mala
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Nonlinear Equation ◽  
Mathematical Models ◽  
Single Phase ◽  
Phase Zone ◽  
Two Phase ◽  
Diffusion Type ◽  
Differential Approach ◽  
Fractional Differential

To describe filtration processes in complex dendritic-porous media, a number of fractional-differential mathematical models of diffusion type have been proposed.A nonlinear equation containing fractional Riemann-Liouville derivatives with respect to time is described, which can be used to correctly describe the single-phase filtration of a non-Newtonian fluid in a porous medium.

scholarly journals Colloid clogging of saturated porous media under varying ionic strength and roughness during managed aquifer recharge

2019 ◽  
Vol 9 (3) ◽  
pp. 225-231 ◽  
Author(s):  
Du Xinqiang ◽  
Song Yalin ◽  
Ye Xueyan ◽  
Luo Ran
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Ionic Strength ◽  
Smooth Surface ◽  
Saturated Porous Medium ◽  
Managed Aquifer Recharge ◽  
Permeability Reduction ◽  
Saturated Porous Media ◽  
Aquifer Recharge ◽  
Pore Throat

Abstract Column experiments were conducted to examine the clogging effects of colloids under controlled conditions of solution ionic strength (IS) and porous media roughness. The results showed that colloids in recharge water play an important role in the clogging process of saturated porous media, such that even a small amount of colloid may cause a large reduction in the permeability of the porous medium. Clogging at the pore throat was inferred to be the main reason for the severe permeability reduction of porous media. The characteristics of colloid clogging were clearly influenced by both IS and medium roughness. Recharge water with a higher IS facilitated greater attachment of colloids to the surface of the saturated porous medium, which lead to superficial clogging, while collectors with a rough surface resulted in greater clogging than collectors with a smooth surface.

scholarly journals Nonstationary filtration in partially saturated porous media

1994 ◽  
Vol 5 (3) ◽  
pp. 405-429 ◽  
Author(s):  
Xinfu Chen ◽  
Avner Friedman ◽  
Tsuyoshi Kimura
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Unique Solution ◽  
Boundary Data ◽  
Saturated Porous Media ◽  
Two Dimensional ◽  
Free Boundaries ◽  
Partially Saturated ◽  
Nonstationary Filtration ◽  
Partially Saturated Porous Media

Nonstationary two-dimensional filtration in a porous medium is considered, whereby part of the medium is saturated, another part is unsaturated but wet, and the remaining part is dry. The saturated/unsaturated and unsaturated/dry interfaces are free boundaries. It is shown that there exists a unique solution, and that the saturation function is continuous in the wet portion of the medium; this implies that the two interfaces are separated. Under some monotonicity-type conditions on the initial and boundary data it is shown that the free boundaries are continuous.

scholarly journals Investigation of Biofilm Growth within a Monodisperse Porous Medium under Fluctuating Water Level Assessed by Means of MRI

Water ◽  
2021 ◽  
Vol 13 (18) ◽  
pp. 2456
Author(s):  
Florian Ranzinger ◽  
Karin Schröter ◽  
Harald Horn ◽  
Michael Wagner
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Transport Processes ◽  
Diffusive Transport ◽  
Saturated Porous Media ◽  
Biofilm Growth ◽  
Imaging Methods ◽  
Partially Saturated ◽  
Partially Saturated Porous Media ◽  
Magnetic Resonance Imaging Mri

Microorganisms settle in diverse partially saturated porous media in the form of biofilms. The alteration of hydraulic properties and diffusive transport processes occurs simultaneously with biofilm growth in porous media. Imaging methods offer the ability to directly visualize and quantify alterations on the pore scale. However, imaging methods have mainly observed biofilm growth in completely saturated porous media. The current study used magnetic resonance imaging (MRI) to dynamically visualize biofilm growth within a porous medium under alternating drainage and flushing events. Prior to the MRI experiments, the sample was cultivated for 6 days within a porous medium consisting of 2 mm glass spheres. Starting from day 6, growth was monitored using MRI over a period of 7 days. The approach allowed for a visualization of all fractions (biofilm, water, air, and porous material) after drainage as well as flushing events. Biofilm was found to preferentially grow within permanently wetted areas situated next to pore throats. Furthermore, an increase in the water retention and connectivity of the liquid phase was found. The largest liquid cluster covered 11% (day 6) and 91% (day 12) of the total retained water, suggesting that biofilm growth might improve diffusive transport processes within partially saturated porous media.

Analytical Approach on Nonlinear Vibration and Wave Response of Saturated Porous Media Subjected to Multiple Excitations

2009 ◽  
Author(s):  
Liming Dai ◽  
Guoqing Wang
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Analytical Approach ◽  
Wave Motion ◽  
Numerical Approach ◽  
Immiscible Fluids ◽  
The Other ◽  
Energy Sources ◽  
Saturated Porous Media ◽  
System Parameters

This research investigates the wave motions of a porous medium saturated by multiple immiscible fluids in porous media subjected to multiple external excitations, via an analytical and numerical approach. The findings of this research contribute to the comprehension of fluids and solid interactions in porous media excited by multiple energy sources. With the approach developed, the vibrations of any desired point and wave motion at desired domain can be quantitatively determined in terms of amplitude and frequency of the vibrating points and therefore the wave propagation in the domain. The relationships among the relative displacements, porosity of the porous medium, saturations of the fluids and the other system parameters are also studied quantitatively.

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