Mathematical modeling of the generation of the secondary porous structure in a monolithic adsorbent

Ledvinkova, Blanka; Keller, F.; Košek, Juraj; Nieken, Ulrich

doi:10.1016/j.cej.2008.02.008

Cited by 12 publications

(5 citation statements)

References 7 publications

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“…As such the impedance offered by the fibers of the porous medium will increase and this will effectively decelerate the flow in the regime, as testified to by the evident decrease in velocities shown in Fig. (17). The Forchheimer effect serves to super seed the Darcian body force effect at higher velocities, the latter is dominant for lower velocity regimes and is a linear body force.…”

Section: Resultsmentioning

confidence: 89%

“…Such flows with and without buoyancy effects arise frequently in many branches of chemical engineering and owing to their viscous-dominated nature are generally simulated using the Darcy model. Applications of such flows include chip-based microfluidic chromatographic separation devices [12], dissolution of masses buried in a packed bed [13], heat transfer in radon saturating permeable regimes [14], flows in ceramic filter components of integrated gasification combined cycles (IGCC) [15], separation of carbon dioxide from the gas phase with aqueous adsorbents (water and diethanolamine solution) in micro porous hollow fibre membrane modules [16], and monolithic adsorbent flows consisting of micro-porous zeolite particles embedded in a polyamide matrix [17]. Porous media flow simulations are also critical in convective processes in hygroscopic materials [18], electro remediation in soil decontamination technique wherein an electric field applied to a porous medium generates the migration of ionic species in solution [19], reactive transport in tubular porous media reactors [20], perfusive bed flows [21], gelation of biopolymers in porous media which arise in petroleum recovery and in subsurface heavy metal stabilization [22].…”

Section: Introductionmentioning

confidence: 99%

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Modelling laminar transport phenomena in a Casson rheological fluid from an isothermal sphere with partial slip in a non-Darcy porous medium

Prasad¹,

Rao

Reddy

et al. 2013

Theor appl mech (Belgr)

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The flow and heat transfer of Casson fluid from a permeable isothermal sphere in the presence of slip condition in a non-Darcy porous medium is analyzed. The sphere surface is maintained at a constant temperature. The boundary layer conservation equations, which are parabolic in nature, are normalized into non-similar form and then solved numerically with the well-tested, efficient, implicit, stable Keller-box finite-difference scheme. Increasing the velocity slip parameter is found to decrease the velocity and boundary layer thickness and increases the temperature and the boundary layer thickness. The velocity decreases with the increase the non-Darcy parameter and is found to increase the temperature. The velocity increases with the increase the Casson fluid parameter and is found to decrease the temperature. The Skin-friction coefficient and the local Nusselt number is found to decrease with the increase in velocity and thermal slip parameters respectively.

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Section: Resultsmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Modelling laminar transport phenomena in a Casson rheological fluid from an isothermal sphere with partial slip in a non-Darcy porous medium

Prasad¹,

Rao

Reddy

et al. 2013

Theor appl mech (Belgr)

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“…[17] However methods like DEM represent material behaviour such as a visco-plastic one by spring-damper systems. The parameterisation of these particleparticle interactions strongly affects the simulation result and cannot be derived directly from continuum laws.…”

Section: Resultsmentioning

confidence: 99%

Experimental Investigation and Numerical Simulation of Spray Processes

Laackmann

Säckel

Cepelyte

et al. 2011

Macromolecular Symposia

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Summary: Acoustic levitation was investigated as a model for spray processes. The influence of different parameters on the drying process of aqueous polyvinylpyrrolidone (PVP) solutions was studied and compared to the evaporation of water. The adequacy of acoustic levitation as model for spray processes was demonstrated. Experiments with water and aqueous PVP solutions indicated no dependency of the droplet size on the drying process for droplets with a diameter between 300 mm and 1.5 mm. Particles dried in an acoustic levitator displayed good accordance of morphology with those obtained in a spray tower. Surprisingly the addition of PVP to water resulted in faster evaporation of the solvent. Mathematical models of single droplets within a spray process typically refer to spherically symmetric droplet geometries. The simulation of other morphologies and their evolution throughout the process is still very challenging. A new drying model based on a fully threedimensional meshfree approach is under development and shows good agreement to basic established models regarding the drying of a single droplet.

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“…Such flows with and without buoyancy effects arise frequently in many branches of chemical engineering and owing to their viscous-dominated nature are generally simulated using the Darcy model. Applications of such flows include chip-based micro fluidic chromatographic separation devices [12], dissolution of masses buried in a packed bed [13], heat transfer in radon saturating permeable regimes [14], flows in ceramic filter components of integrated gasification combined cycles (IGCC) [15], separation of carbon dioxide from the gas phase with aqueous absorbents (water and di-ethanolamine solution) in micro porous hollow fibre membrane modules [16], and monolithic adsorbent flows consisting of micro-porous zeolite particles embedded in a polyamide matrix [17]. Porous media flow simulations are also critical in convective processes in hygroscopic materials [18], electro remediation in soil decontamination technique wherein an electric field applied to a porous medium generates the migration of ionic species in solution [19], reactive transport in tubular porous media reactors [20], perfusive bed flows [21], situ gelation of biopolymers in porous media which arise in petroleum recovery and in subsurface heavy metal stabilization [22].…”

Section: Introductionmentioning

confidence: 99%

Flow and Heat Transfer of Casson Fluid from a horizontal Circular Cylinder with Partial Slip in non-Darcy porous Medium

Prasad¹

2013

J Appl Computat Math

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In the Present study, the steady flow and heat transfer of Casson fluid from a permeable horizontal cylinder in the presence of slip condition in a non-Darcy porous medium is analyzed. The cylinder surface is maintained at a constant temperature. The boundary layer conservation equations, which are parabolic in nature, are normalized into non-similar form and then solved numerically with the well-tested, efficient, implicit, stable Keller-box finite-difference scheme. Increasing the velocity slip parameter is found to decrease the velocity and boundary layer thickness and increases the temperature and the boundary layer thickness. The velocity decreases with the increase the non-Darcy parameter and is found to increase the temperature. The velocity increases with the increase the Casson fluid parameter and is found to decrease the temperature. The Skin-friction coefficient and the local Nusselt number are found to decrease with the increase in velocity and thermal slip parameters respectively. Volume 2 • Issue 2 • 1000127 J Appl Computat Math ISSN: 2168-9679 JACM, an open access journal structural characteristics of many important liquids including polymer suspensions, liquid crystal melts, physiological fluids, contaminated lubricants, etc.The steady flow of non-Newtonian fluids in the presence of heat transfer is an important research area due to its wide use in food processing, power engineering, and petroleum production and in many industries for example polymers melt and polymer solutions employed in the plastic processing. Several fluids in chemical engineering, multiphase mixtures, pharmaceutical formulations, china clay and coal in water, paints, synthetic lubricants, salvia, synovial fluid, jams, soups, jellies, marmalades, sewage sludge etc are non-Newtonian. The constitutive relations for these kinds of fluids give rise to more complex and higher order equations than the Navier-Stokes equations. Considerable progress even through has been made on the topic by using different models of non-Newtonian fluids [2][3][4][5][6][7][8][9][10][11].

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Mathematical modeling of the generation of the secondary porous structure in a monolithic adsorbent

Cited by 12 publications

References 7 publications

Modelling laminar transport phenomena in a Casson rheological fluid from an isothermal sphere with partial slip in a non-Darcy porous medium

Modelling laminar transport phenomena in a Casson rheological fluid from an isothermal sphere with partial slip in a non-Darcy porous medium

Experimental Investigation and Numerical Simulation of Spray Processes

Flow and Heat Transfer of Casson Fluid from a horizontal Circular Cylinder with Partial Slip in non-Darcy porous Medium

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