Properties of Porous Media Affecting Fluid Flow
Following the Burdine approach, supported a model developed by Wyllie and Spangler, a theory is bestowed that develops the useful relationships among saturation, pressure distinction, and permeabilities of air and liquid in terms of hydraulic properties of partly saturated porous media. the idea is predicated solely on the capillary pressure-desaturation relationships for porous media. Procedures for deciding these hydraulic properties from capillary pressure-desaturation curves ar delineate. Permeabilities to the wetting and nonwetting phases as a operate of capillary pressure and saturation ar foretold from the through an experiment determined hydraulic properties. The results for all media studied ar in shut agreement with the idea. [1]
Handbook of Porous Media
Handbook of Porous Media, Third Edition offers a comprehensive summary of the most recent theories on flow, transport, and heat-exchange processes in porous media. It conjointly details refined porous media models which may be accustomed improve the accuracy of modeling in an exceedingly sort of sensible applications. that includes contributions from leading specialists i [2]
Turbulent Flow in Porous Media
An equation applicable for each bedded and flow in porous media has been developed and through an experiment verified. This equation expresses the pressure drop per unit length as a perform of absolutely the consistency and mass density of the fluid and therefore the large speed. as a result of this equation is dimensionally uniform, any consistent set of units (cgs, etc.) could also be used. All of the experimental knowledge are portrayed on a plot of the Fanning friction issue for porous media versus the painter variety for porous media, within which the characteristic length, in each cases, is that the root of the porousness. The analogy between this plot and similar plots for circular pipes is noted along side the variations. the link between filtration and alluviation is additionally shown. Water was the fluid utilized in all of the experimental runs. Glass beads, natural action organic compound, sand, gravel, hard coal, and granular activated charcoal were the porous media used; all of those media are commercially out there. a number of the glass beads media were or so uniform in size. [3]
A Novel Analytical Model for Pore Volume Compressibility of Fractal Porous Media
Over the past decades, several students are learning the pore volume squeezability (PVC) of porous media. However, the basic controls on PVC of porous media don’t seem to be nonetheless definitive. Some students counsel a indirect correlation between PVC and initial body, whereas others counsel a direct correlation. driven by this discrepancy, this paper presents a replacement analytical model to review the PVC of form porous media. The predictions ar compared with check results and thereby valid to be correct. In our try not solely to enrich however conjointly to increase the aptitude on the far side out there models, the derived model accounts for multiple elementary variables, like the microstructural parameters and rock lithology of porous media. [4]
MHD Stagnation Point-flow of Micropolar Fluids Past a Permeable Stretching Plate in Porous Media with Thermal Radiation, Chemical Reaction and Viscous Dissipation
The study investigates the steady two-dimensional, stagnation purpose, heat associate degreed mass transfer of an incompressible, electrically conducting micropolar fluid flow past a porous stretching plate during a Darcy-Forchheimer porous medium. The presence of thermal radiation, chemical process, viscous dissipation, heat source/sink and variable thermal physical phenomenon square measure examined. The governing partial differential equations of the fluid flow square measure remodeled into non-linear standard differential equations victimization similarity variables. The ensuing equations square measure solved by fourth order Runge-Kutta integration theme aboard shooting technique. moreover, the consequences of embedded governing parameters on the dimensionless rate, temperature, microrotation and concentration profiles square measure given diagrammatically. Similarly, the influences of the physical flow parameters on the Skin friction, Nusselt variety, Robert Emmet Sherwood and Wall couple stress square measure examined and given in tables. Comparison of the current results with the revealed ends up in the literature in some limiting things shows an ideal agreement. [5]
Reference
[1] Brooks, R.H. and Corey, A.T., 1966. Properties of porous media affecting fluid flow. Journal of the irrigation and drainage division, 92(2), (Web Link)
[2] Vafai, K., 2015. Handbook of porous media. Crc Press. (Web Link)
[3] Ward, J.C., 1964. Turbulent flow in porous media. Journal of the Hydraulics Division, 90(5), (Web Link)
[4] A Novel Analytical Model for Pore Volume Compressibility of Fractal Porous Media
Gang Lei, Nai Cao, Brian J. McPherson, Qinzhuo Liao & Weiqing Chen
Scientific Reports volume 9, Article number: 14472 (2019) (Web Link)
[5] Fatunmbi, E. O. and Adeniyan, A. (2018) “MHD Stagnation Point-flow of Micropolar Fluids Past a Permeable Stretching Plate in Porous Media with Thermal Radiation, Chemical Reaction and Viscous Dissipation”, Journal of Advances in Mathematics and Computer Science, 26(1), (Web Link)