Porosity effects in laminar fluid flow near permeable surfaces

Kang, Chang Soo; Mirbod, Parisa

doi:10.1103/physreve.100.013109

Cited by 16 publications

(15 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We observe that for the two volume fractions considered, the variations due to these parameters are small, indicating that the variations in the permeability provide the major contribution, consistent with what was previously observed by Rosti et al [41]. More precisely, we find no appreciable differences when changing the porous layer thickness [62,63,43,64], while small variations are found when changing the porosity. In particular, the two largest values of ε (0.6 and 0.9) provide very close results, while the smallest value of ε (0.3) leads to a slight reduction in the mean shear rate by further increasing the Φe for various permeabilities σ.…”

supporting

confidence: 91%

See 1 more Smart Citation

The impact of porous walls on the rheology of suspensions

Rosti¹,

Mirbod²,

Brandt³

2020

Preprint

Self Cite

View full text Add to dashboard Cite

We study the effect of isotropic porous walls on a plane Couette flow laden with spherical and rigid particles. We perform a parametric study varying the volume fraction between 0 and 30%, the porosity between 0.3 and 0.9 and the non-dimensional permeability between 0 and 7.9 × 10 −3 We find that the porous walls induce a progressive decrease in the suspension effective viscosity as the wall permeability increases. This behavior is explained by the weakening of the wall-blocking effect and by the appearance of a slip velocity at the interface of the porous medium, which reduces the shear rate in the channel. Therefore, particle rotation and the consequent velocity fluctuations in the two phases are dampened, leading to reduced particle interactions and particle stresses. Based on our numerical evidence, we provide a closed set of equations for the suspension viscosity, which can be used to estimate the suspension rheology in the presence of porous walls.

show abstract

supporting

confidence: 91%

“…[42,40]. Recently, Kang and Mirbod [43] examined the porosity effect on a flow using the VANS equations and a transport equation for the kinetic energy.…”

Section: Methodsmentioning

confidence: 99%

The impact of porous walls on the rheology of suspensions

Rosti¹,

Mirbod²,

Brandt³

2020

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Further, we examine the analytical results obtained from our previous theoretical/numerical work where an exact solution for pure Newtonian fluid through a channel were the bottom boundary had been replaced with porous media was derived [52]. The governing equation for the free-flow region is the unsteady, incompressible continuity and Navier-Stokes equations.…”

Section: Resultsmentioning

confidence: 99%

“…The experimental data then allowed us to provide useful data on the phenomenological constants used in the existing models for pure fluid over porous media and explore their validity for very dilute suspensions. We also compared the experimental results of both pure fluid and dilute suspensions with the exact solution for flow over porous media determined in our previous work [52]. The experimental set-up is described in section 2, the results are presented and discussed in section 3, and concluding remarks are presented in section 4.…”

Section: Introductionmentioning

confidence: 99%

Velocity measurements of dilute particulate suspension over and through a porous medium model

Haffner

Mirbod

2020

Physics of Fluids

Self Cite

View full text Add to dashboard Cite

We experimentally examine pressure-driven flows of 1%, 3%, and 5% dilute suspensions over and through a porous media model. The flow of non-colloidal, non-Brownian suspensions of rigid and spherical particles suspended in a Newtonian fluid is considered at very low Reynolds numbers. The model of porous media consists of square arrays of rods oriented across the flow in a rectangular channel. Systematic experiments using high-spatial-resolution planar particle image velocimetry (PIV) and index-matching techniques are conducted to accurately measure the velocity measurements of both very dilute and solvent flows inside and on top of the porous media model. We found that for 1%, 3%, and 5% dilute suspensions the fully-developed velocity profile inside the free-flow region are well predicted by the exact solution derived from coupling the Navier-Stokes equation within the free flow-region and the volume-averaged Navier Stokes (VANS) equation for the porous media. We further analyze the velocity and shear rate at the suspension-porous interface and compare these data with those of pure suspending fluid and the related analytical solutions. The exact solution is used to define parameters necessary to calculate key values to analyze the porous media/fluid interaction such as Darcy velocity, penetration depth, and fractional ratios of the mass flow rate. These parameters are comparable between the solvent, dilute suspensions, and exact solution. However, we found clear effects between the solvent and the suspensions which shows different physical phenomenon occurring when particles are introduced into a flow moving over and through a porous media.

show abstract

“…The term µv/k shows porous media's effect by the resistance to the flow exerted by the porosity of the medium through which the fluid passes (Darcy term). This term does not affect the non-linearity of governing partial differential equations [20], the equation is given by: 0…”

Section: D Navier-stokes Equation and 1d Porous Medium Model For A Vi...mentioning

confidence: 99%

Conformable 1D steady-state Navier-Stokes equations to describe flow through porous media

Santos-Moreno,

Fernández-Anaya,

Valencia-Negrete

2021

Preprint

View full text Add to dashboard Cite

From the definition of a generalized conformable spatial derivative, an exponential conformable function with three parameters (a, b, α) is proposed for a viscous and an inertial-viscous steady-state Navier-Stokes 1D models, obtaining analytical solutions for both generalized conformable models. The conformable models' parameters are optimized to compare the viscous model to a Darcian 1D flow and the inertial-viscous model to a non-Darcian 1D model for a specific range of Darcy numbers (1 × 10 −2 < Da ≤ 1). Velocity profiles for the porous medium and the conformable model are computed and compared, showing that the generalized conformable Navier Stokes 1D models describe the flow through a porous medium, for both Darcian and non-Darcian flow, without including a Darcy term or macroscopic porous characteristics.

show abstract

Porosity effects in laminar fluid flow near permeable surfaces

Cited by 16 publications

References 40 publications

The impact of porous walls on the rheology of suspensions

The impact of porous walls on the rheology of suspensions

Velocity measurements of dilute particulate suspension over and through a porous medium model

Conformable 1D steady-state Navier-Stokes equations to describe flow through porous media

Contact Info

Product

Resources

About