Modelling of Flow Through Porous Media Over the Complete Flow Regime

Banerjee, Ashes; Pasupuleti, Srinivas; Singh, Mritunjay Kumar; Dutta, Sekhar Chandra; Kumar, Gaurav

doi:10.1007/s11242-019-01274-2

Cited by 16 publications

(3 citation statements)

References 48 publications

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“…Ashes Banerjee et.al., [21] studied behaviour of flow resistance with velocity for post-laminar flow through coarse granular media. Ashes Banerjee et.al [22] developed a mathematical model which can be used to predict velocities corresponding to the specific hydraulic gradients for predefined media sizes and porosities. Ashes Banerjee et.al [26] found Coefficients of polynomial model were observed to be independent of the range of flow velocity, whereas the Power law coefficients are extremely sensitive to the data.…”

Section: Literature Reviewmentioning

confidence: 99%

Resistance and Regime Relationship In Flow Through Porous Media Considering the Effects of Porosity, Wall and Tortuosity

Anjali,

Jyothy,

Kumar

2024

Preprint

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A reliable relationship between Resistance coefficient (λ) and Reynolds number (Re) which are primarily functions of characteristic length and characteristic velocity, proved to be a probable solution for many problems related to porous media flow. Due to intricate and tortuous structure of porous media, defining characteristic length and characteristic velocity is very complicate and hence expressed in terms of influencing parameters. This paper presents results of an experimental study on relationship between λ and Re with a special emphasis on characteristic length and characteristic velocity. Experimentation is carried out using a specially fabricated permeameter with water as fluid medium and seven sizes of coarse gravel, five sizes of river sand and three sizes of glass spheres as porous media. To make the findings more reliable, the expressions relating λ and Re are subjected to porosity, tortuosity and wall effect corrections.

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Section: Literature Reviewmentioning

confidence: 99%

Resistance and Regime Relationship In Flow Through Porous Media Considering the Effects of Porosity, Wall and Tortuosity

Anjali,

Jyothy,

Kumar

2024

Preprint

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“…In a recent published article (2019), whose title would seem to suggest that the authors had discovered something important related to permeability "Over the Complete Flow Regime", Banerjee et al claim that they have made a correlation between the Forchheimer coefficients a, and b, which dictates that the values of the coefficients are a function of the fluid flow profile [52]. In fact, they define "corrections" to several parameters in their 2017 paper and "create" a parameter which they designate as, γ, whose value changes over the fluid flow regime and suggests that both values of the Forchheimer coefficients a, and b, are a function of this γ parameter.…”

Section: Example 5: Data Of Banerjee Et Al 2017 and 2019mentioning

confidence: 99%

Quinn’s Law of Fluid Dynamics: Supplement #3 A Unique Solution to the Navier-Stokes Equation for Fluid Flow in Closed Conduits

Quinn¹

2020

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The recent publication of Quinn's Law of Fluid Dynamics brings into focus longstanding contradictions regarding permeability in closed conduits that have littered the fluid dynamics landscape for more than 150 years. In this paper, we will use this new level of understanding to explain these contradictions, in layman's terms, and resolve them, by introducing for the first time, as far as we know, a unique solution to the Navier-Stokes equation for fluid flow in closed conduits, which is understandable by knowledgeable physicists, engineers, chromatographers and aerospace enthusiasts alike, but who may not necessarily be versed in the abstract jargon of a graduate in advanced mathematics. In addition, we will apply our unique solution to chosen illustrative worked examples, as well as those of third parties from the published literature. In so doing, we will demonstrate the utility of our solution, not only, to packed conduits containing particles having solid skeletons, but also, to empty conduits, which in the context of this new understanding of fluid dynamics in closed conduits, represents a special case of a packed conduit in which the particles are fully porous, i.e., they are made entirely of free space.

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“…Various researchers in the past such as Vienken & Dietrich (2011), and Banerjee et al (2019) examined different modelling techniques for computing the K value of porous media. These studies presented elucidations having some limitations i.e, simulating the infinite extent of subsurface flow (Zahiri & Najafzadeh 2018).…”

Section: Graphical Abstract Introductionmentioning

confidence: 99%

Prediction of hydraulic conductivity of porous media using a statistical grain-size model

2022

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Hydraulic conductivity (K) estimation of porous media is of great significance in contaminant movement and groundwater investigations. The present study examines the influence of effective grain-size (d10) and standard deviation (σ) on the K value of borehole soil samples using 5.08, 10.16, and 15.24 cm diameter permeameters. A statistical grain-size model was developed and the feasibility of seven empirical equations was evaluated with the measured K values. The K of soil samples increases with the increase in the d10 grain-size and decreases with the increase in the σ value. Evaluation of K using empirical equations establishes that the Hazen equation shows relatively good agreement with the measured K values. The study substantiates the efficacy of the developed model as the Kmodel and Kmeasured based R2 (determination coefficient), MAE (mean absolute error), and RMSE (root mean square error) values are (0.982, 0.007, and 0.008), (0.972, 0.005, and 0.007), (0.953, 0.004, and 0.005) for 5.08, 10.16, and 15.24 cm diameter permeameters respectively. The developed model was validated by assessing its efficiency in the prediction of K values for independent soil samples. The developed model-based K accedes to the precise computation of the aquifer yield and groundwater recharge.

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Modelling of Flow Through Porous Media Over the Complete Flow Regime

Cited by 16 publications

References 48 publications

Resistance and Regime Relationship In Flow Through Porous Media Considering the Effects of Porosity, Wall and Tortuosity

Resistance and Regime Relationship In Flow Through Porous Media Considering the Effects of Porosity, Wall and Tortuosity

Quinn’s Law of Fluid Dynamics: Supplement #3 A Unique Solution to the Navier-Stokes Equation for Fluid Flow in Closed Conduits

Prediction of hydraulic conductivity of porous media using a statistical grain-size model

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