Kozeny Constant

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Sabah Yassin Ibrahim - One of the best experts on this subject based on the ideXlab platform.

  • Analysis of single-phase flow pressure drop in particulate sand beds
    Petroleum Science and Technology, 2006
    Co-Authors: Sabah Yassin Ibrahim, Inam M. Nasir
    Abstract:

    A study was made of pressure drop during single-phase fluid flow to determine the pressure drop characteristic of the particulate sand beds for coalescence. It is also served to check the reproducibility of the packing technique and/or rearrangement of the individual particles in the coalesce bed. Furthermore, these data provided a basis for comparison with that during two-phase flow with coalescence. The variables investigated were superficial velocity, bed depth, sand particle diameter, and physical properties of liquids. Pressure drops associated with single-phase flow through sand packing beds could be correlated by a Carman-Kozeny type equation. For sand particles the modified Carman-Kozeny equation was applied. However, the values of the Kozeny Constant are approximate because it is assumed that the sand particles are cylindrical and the diameter of each particle equals to the length. The experimental results show a linear relationship between pressure drops and superficial velocity for each sand bed and for each sand particle diameter for single-phase flow.

  • Single Phase Flow Pressure Drop in Glass Ballotini Particulate Beds
    Petroleum Science and Technology, 2004
    Co-Authors: Sabah Yassin Ibrahim, Emad Talib Hashim
    Abstract:

    A study was made of pressure drop during single fluid phase flow to determine the pressure drop characteristic of the porous media (glass ballotini particulate beds) for coalescence. It is also served to check the reproducibility of the packing technique, and to detect any foreign particulate matter or re-arrangement of the individual particles in the coalesce bed. Furthermore these data provided a basis for comparison with that during two-phase flow with coalescence. For spherical particle the modified Carman-Kozeny equation was applied; the commonly accepted value for Kozeny Constant is 5.0. However, K, depends on, among other factors, the structure of the bed, voidage fraction, particle shape, tortuosity, superficial velocity, bed depth, particle size, and wall effect.

Tina Bucha - One of the best experts on this subject based on the ideXlab platform.

  • Flow past composite cylindrical shell of porous layer with a liquid core: magnetic effect
    Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2020
    Co-Authors: Krishna Prasad Madasu, Tina Bucha
    Abstract:

    The creeping flow of a magnetic fluid perpendicular to a porous cylindrical shell is investigated, employing the unit cell model. The viscous fluid is assumed to be flowing in three zones divided as fluid, annular porous, and cavity regions, respectively. We apply a uniform magnetic field in a transverse direction of flow and then emphasize the influence of the Hartmann layers which are developed in their vicinity. Modified Stokes and modified Brinkman’s equations are employed in the liquid and porous regions, respectively. Happel and Kuwabara cell models are used as the interface conditions at the cell surface, and at the fluid–porous interface, continuity of velocity components, continuity of normal stresses, and stress jump condition for tangential stresses are applied. An expression for Kozeny Constant for the cylindrical shell is presented. Representation of Kozeny Constant under the influences of the pertinent parameters such as Hartmann numbers, stress jump coefficient, fractional void volume, viscosity ratios, permeability, and separation is displayed through graphs and a table. The results are compared with the cases which do not involve magnetic effect. They reveal the strong impact of Hartmann’s numbers on the resisting force experienced on the cylindrical shell. The results agree well with previous available works.

  • MHD Viscous Flow Past a Weakly Permeable Cylinder Using Happel and Kuwabara Cell Models
    Iranian Journal of Science and Technology Transactions A: Science, 2020
    Co-Authors: Krishna Prasad Madasu, Tina Bucha
    Abstract:

    The present work deals with studying magneto-viscous fluid flow around a weakly permeable cylinder bounded by a cylindrical container under the effect of an applied magnetic field. Based on Happel and Kuwabara cell model technique, an analytical solution of the problem is evaluated. Considered flow is separated into the outer viscous fluid region and inner permeable region governed by modified Stoke’s equations and modified Darcy’s law, respectively. Applicable boundary conditions at the fluid porous interface are continuity of normal component of velocity, Saffman’s slip condition together with the continuity of pressure. The expressions for the drag, hydrodynamic permeability, and Kozeny Constant for the permeable cylinder are achieved in this analysis. Numerical values of Kozeny Constant against porosity are presented, and new results are also acquired. Analytical and numerical results that correspond to the earlier published works are obtained as reduction cases.

  • Magnetohydrodynamic creeping flow around a weakly permeable spherical particle in cell models
    Pramana, 2020
    Co-Authors: M Krishna Prasad, Tina Bucha
    Abstract:

    The present paper studies the impact of applied uniform transverse magnetic field on the flow of incompressible conducting fluid around a weakly permeable spherical particle bounded by a spherical container. Analytical solution of the problem is obtained using Happel and Kuwabara cell models. The concerned flow is parted in two regions, bounded fluid region and internal porous region, to be governed by Stokes and Darcy’s law respectively. At the interface between the fluid and the permeable region, the boundary conditions used are continuity of normal component of velocity, Saffman’s boundary condition and continuity of pressure. For the cell surface, Happel and Kuwabara models together with continuity in radial component of the velocity has been used. Expressions for drag force, hydrodynamic permeability and Kozeny Constant acting on the spherical particle under magnetic effect are presented. Representation of hydrodynamic permeability for varying permeability parameters, particle volume fraction, slip parameter and Hartmann numbers are represented graphically. Also, the magnitude of Kozeny Constant for weakly permeable and semipermeable sphere under a magnetic effect has been presented. In limiting cases many important results are obtained.

  • Impact of magnetic field on flow past cylindrical shell using cell model
    Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2019
    Co-Authors: Krishna Prasad Madasu, Tina Bucha
    Abstract:

    The present paper concerns about finding the impact of applied transverse magnetic field on parallel cylindrical shell of magneto viscous fluid by unit cell model. The considered flow is divided into three regions, bounded fluid region, porous region and inner cavity region, where the flow in the bounded and cavity regions is governed by Stokes equation and flow in the annular porous region is governed by Brinkman’s equation in the presence of magnetic field. The boundary conditions used at the fluid–porous interface are continuity of velocity components and stress jump condition for tangential stresses together with Happel and Kuwabara boundary conditions. Expression for volumetric flow rate in the presence of transverse magnetic field is calculated, and limiting cases leads to some well-known results. The effect of Kozeny Constant versus fractional void volume for varying permeability, Hartmann numbers, viscosity ratio, separation parameter and stress jump coefficient is tabulated and represented by graphs. In the limits of the motion of porous cylinder and impermeable cylinder in the cell, the numerical values of the Kozeny Constant are in good agreement with the available values in the literature.

David Vidal - One of the best experts on this subject based on the ideXlab platform.

  • effect of particle size distribution and packing compression on fluid permeability as predicted by lattice boltzmann simulations
    Computers & Chemical Engineering, 2009
    Co-Authors: David Vidal, Cathy J Ridgway, Gregoire Pianet, Joachim Schoelkopf, Francois Bertrand
    Abstract:

    Abstract Massive parallel lattice-Boltzmann method simulations of flow through highly polydispersed spherical particle packings formed using Monte-Carlo methods were performed. The computed fluid permeabilities were compared to experimental data obtained from blocks made of three natural ground calcium carbonate powders compressed at different levels. The agreement with experimental measurements is excellent considering the approximations made. A series of flow simulations was also performed for packings of spherical particles compressed at different levels with increasing polydispersity modeled with both lognormal and Weibull size distributions. The predicted permeabilities were found to follow reasonably well the Carman–Kozeny correlation although an increasing deviation towards lower predicted permeabilities with increasing polydispersity was observed. Finally, following a careful analysis of the inherent numerical errors, an expression relating the KozenyConstant” to the size distribution and compression level was derived from the simulation results, which led to a modified correlation.

Unver Ozkol - One of the best experts on this subject based on the ideXlab platform.

  • Determination of Kozeny Constant Based on Porosity and Pore to Throat Size Ratio in Porous Medium with Rectangular Rods
    Engineering Applications of Computational Fluid Mechanics, 2014
    Co-Authors: Turkuler Ozgumus, Moghtada Mobedi, Unver Ozkol
    Abstract:

    AbstractKozeny-Carman permeability equation is an important relation for the determination of permeability in porous media. In this study, the permeabilities of porous media that contains rectangular rods are determined, numerically. The applicability of Kozeny-Carman equation for the periodic porous media is investigated and the effects of porosity and pore to throat size ratio on Kozeny Constant are studied. The continuity and Navier-Stokes equations are solved to determine the velocity and pressure fields in the voids between the rods. Based on the obtained flow field, the permeability values for different porosities from 0.2 to 0.9 and pore to throat size ratio values from 1.63 to 7.46 are computed. Then Kozeny Constants for different porous media with various porosity and pore to throat size ratios are obtained and a relationship between Kozeny Constant, porosity and pore to throat size ratio is constructed. The study reveals that the pore to throat size ratio is an important geometrical parameter th...

Özkol Ünver - One of the best experts on this subject based on the ideXlab platform.

  • Determination of Kozeny Constant based on porosity and pore to throat size ratio in porous medium with rectangular rods
    Taylor & Francis, 2014
    Co-Authors: Özgümüş Türküler, Mobedi Moghtada, Özkol Ünver
    Abstract:

    Kozeny-Carman permeability equation is an important relation for the determination of permeability in porous media. In this study, the permeabilities of porous media that contains rectangular rods are determined, numerically. The applicability of Kozeny-Carman equation for the periodic porous media is investigated and the effects of porosity and pore to throat size ratio on Kozeny Constant are studied. The continuity and Navier- Stokes equations are solved to determine the velocity and pressure fields in the voids between the rods. Based on the obtained flow field, the permeability values for different porosities from 0.2 to 0.9 and pore to throat size ratio values from 1.63 to 7.46 are computed. Then Kozeny Constants for different porous media with various porosity and pore to throat size ratios are obtained and a relationship between Kozeny Constant, porosity and pore to throat size ratio is constructed. The study reveals that the pore to throat size ratio is an important geometrical parameter that should be taken into account for deriving a correlation for permeability. The suggestion of a fixed value for Kozeny Constant makes the application of Kozeny-Carman permeability equation too narrow for a very specific porous medium. However, it is possible to apply the Kozeny-Carman permeability equation for wide ranges of porous media with different geometrical parameters (various porosity, hydraulic diameter, particle size and aspect ratio) if Kozeny Constant is a function of two parameters as porosity and pore to throat size ratios.Scientific and Technical Research Council of Turke