Pore-scale level numerical simulation of flow in a solid foam: an Immersed Boundary Method (IBM) based approach

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

There has been an increasing trend on the use of novel materials to improve the process efficiency in a cost effective way and to minimize the total weight/volume of equipment. Open cell solid foams, consisting of cellular structures made of metal or ceramics is one such material which is extensively used over the past few decades to form porous media. Due to its large surface area to volume ratio with minimal pressure drop, it is widely applied in heat transfer devices like heat exchangers, thermal energy absorbers, vaporizers, heat shielding devices etc.. Moreover, it is also gaining popularity in several other applications like high temperature filters, pneumatic silencers, catalytic reactors etc. In chemical process industries solid foams are popular as catalyst support which improves gas-liquid contacting to enhance heat and/or mass transfer rates with minimal pressure drop as compared to other packing material. Also high velocity difference between the flowing phase and stationary support increase the transport rate, which can be achieved by using solid foam. To design and optimize such processes it is necessary to understand the hydrodynamic behaviour of fluid flow through such material. Due to the random and complex geometrical shapes, most of the work on solid foams is experimental, and a limited number of numerical and analytical studies are available in literature. To study the flow at pore-scale level, we have developed an Immersed Boundary Method (IBM) based simulation technique. A second order accurate implicit Immersed Boundary Method (IBM) inspired by Deen et al. (2012, Chem. Eng. Sci. 81, pp. 329-344) is implemented to resolve such structure on a non-boundary fitted computational-grid. A single representative unit cell (RUC) of the solid foam in a periodic computational domain is considered and the geometry of the RUC is approximated based on structural packing of a tetrakaidecahedron (Kelvin?s unit cell) with cylindrical strut morphology [Fig. 1]. A total of twelve foam structures of different porosity varying from 0.638 to 0.962 are considered. The flow Reynolds number based on superficial velocity and equivalent spherical diameter is varied from creeping flow regime to as high as 500. The current simulation results can also be extended for foams of different pore densities. An empirical correlation for the friction factor is proposed as a function of porosity and Reynolds number.

Conference

Conference12th International Conference on Gas-Liquid & Gas-Liquid-Solid Reactor Engineering (GLS 12), June 28-July 1, 2015, New York, NY, USA
Abbreviated titleGLS 12
CountryUnited States
CityNew York, NY
Period28/06/151/07/15
Internet address

Fingerprint

Foams
Computer simulation
Pressure drop
Reynolds number
Heat shielding
Porosity
Struts
Thermal energy
Catalyst supports
Pneumatics
Heat exchangers
Porous materials
Flow of fluids
Mass transfer
Hydrodynamics
Friction
Heat transfer
Geometry
Liquids
Metals

Cite this

Das, S., Kuipers, J. A. M., & Deen, N. G. (2015). Pore-scale level numerical simulation of flow in a solid foam: an Immersed Boundary Method (IBM) based approach. In Proceedings of the 12th International Conference on Gas-Liquid & Gas-Liquid-Solid Reactor Engineering (GLS12) American Institute of Chemical Engineers (AIChE).
Das, S. ; Kuipers, J.A.M. ; Deen, N.G./ Pore-scale level numerical simulation of flow in a solid foam : an Immersed Boundary Method (IBM) based approach. Proceedings of the 12th International Conference on Gas-Liquid & Gas-Liquid-Solid Reactor Engineering (GLS12). American Institute of Chemical Engineers (AIChE), 2015.
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abstract = "There has been an increasing trend on the use of novel materials to improve the process efficiency in a cost effective way and to minimize the total weight/volume of equipment. Open cell solid foams, consisting of cellular structures made of metal or ceramics is one such material which is extensively used over the past few decades to form porous media. Due to its large surface area to volume ratio with minimal pressure drop, it is widely applied in heat transfer devices like heat exchangers, thermal energy absorbers, vaporizers, heat shielding devices etc.. Moreover, it is also gaining popularity in several other applications like high temperature filters, pneumatic silencers, catalytic reactors etc. In chemical process industries solid foams are popular as catalyst support which improves gas-liquid contacting to enhance heat and/or mass transfer rates with minimal pressure drop as compared to other packing material. Also high velocity difference between the flowing phase and stationary support increase the transport rate, which can be achieved by using solid foam. To design and optimize such processes it is necessary to understand the hydrodynamic behaviour of fluid flow through such material. Due to the random and complex geometrical shapes, most of the work on solid foams is experimental, and a limited number of numerical and analytical studies are available in literature. To study the flow at pore-scale level, we have developed an Immersed Boundary Method (IBM) based simulation technique. A second order accurate implicit Immersed Boundary Method (IBM) inspired by Deen et al. (2012, Chem. Eng. Sci. 81, pp. 329-344) is implemented to resolve such structure on a non-boundary fitted computational-grid. A single representative unit cell (RUC) of the solid foam in a periodic computational domain is considered and the geometry of the RUC is approximated based on structural packing of a tetrakaidecahedron (Kelvin?s unit cell) with cylindrical strut morphology [Fig. 1]. A total of twelve foam structures of different porosity varying from 0.638 to 0.962 are considered. The flow Reynolds number based on superficial velocity and equivalent spherical diameter is varied from creeping flow regime to as high as 500. The current simulation results can also be extended for foams of different pore densities. An empirical correlation for the friction factor is proposed as a function of porosity and Reynolds number.",
author = "S. Das and J.A.M. Kuipers and N.G. Deen",
year = "2015",
language = "English",
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Das, S, Kuipers, JAM & Deen, NG 2015, Pore-scale level numerical simulation of flow in a solid foam: an Immersed Boundary Method (IBM) based approach. in Proceedings of the 12th International Conference on Gas-Liquid & Gas-Liquid-Solid Reactor Engineering (GLS12). American Institute of Chemical Engineers (AIChE), 12th International Conference on Gas-Liquid & Gas-Liquid-Solid Reactor Engineering (GLS 12), June 28-July 1, 2015, New York, NY, USA, New York, NY, United States, 28/06/15.

Pore-scale level numerical simulation of flow in a solid foam : an Immersed Boundary Method (IBM) based approach. / Das, S.; Kuipers, J.A.M.; Deen, N.G.

Proceedings of the 12th International Conference on Gas-Liquid & Gas-Liquid-Solid Reactor Engineering (GLS12). American Institute of Chemical Engineers (AIChE), 2015.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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N2 - There has been an increasing trend on the use of novel materials to improve the process efficiency in a cost effective way and to minimize the total weight/volume of equipment. Open cell solid foams, consisting of cellular structures made of metal or ceramics is one such material which is extensively used over the past few decades to form porous media. Due to its large surface area to volume ratio with minimal pressure drop, it is widely applied in heat transfer devices like heat exchangers, thermal energy absorbers, vaporizers, heat shielding devices etc.. Moreover, it is also gaining popularity in several other applications like high temperature filters, pneumatic silencers, catalytic reactors etc. In chemical process industries solid foams are popular as catalyst support which improves gas-liquid contacting to enhance heat and/or mass transfer rates with minimal pressure drop as compared to other packing material. Also high velocity difference between the flowing phase and stationary support increase the transport rate, which can be achieved by using solid foam. To design and optimize such processes it is necessary to understand the hydrodynamic behaviour of fluid flow through such material. Due to the random and complex geometrical shapes, most of the work on solid foams is experimental, and a limited number of numerical and analytical studies are available in literature. To study the flow at pore-scale level, we have developed an Immersed Boundary Method (IBM) based simulation technique. A second order accurate implicit Immersed Boundary Method (IBM) inspired by Deen et al. (2012, Chem. Eng. Sci. 81, pp. 329-344) is implemented to resolve such structure on a non-boundary fitted computational-grid. A single representative unit cell (RUC) of the solid foam in a periodic computational domain is considered and the geometry of the RUC is approximated based on structural packing of a tetrakaidecahedron (Kelvin?s unit cell) with cylindrical strut morphology [Fig. 1]. A total of twelve foam structures of different porosity varying from 0.638 to 0.962 are considered. The flow Reynolds number based on superficial velocity and equivalent spherical diameter is varied from creeping flow regime to as high as 500. The current simulation results can also be extended for foams of different pore densities. An empirical correlation for the friction factor is proposed as a function of porosity and Reynolds number.

AB - There has been an increasing trend on the use of novel materials to improve the process efficiency in a cost effective way and to minimize the total weight/volume of equipment. Open cell solid foams, consisting of cellular structures made of metal or ceramics is one such material which is extensively used over the past few decades to form porous media. Due to its large surface area to volume ratio with minimal pressure drop, it is widely applied in heat transfer devices like heat exchangers, thermal energy absorbers, vaporizers, heat shielding devices etc.. Moreover, it is also gaining popularity in several other applications like high temperature filters, pneumatic silencers, catalytic reactors etc. In chemical process industries solid foams are popular as catalyst support which improves gas-liquid contacting to enhance heat and/or mass transfer rates with minimal pressure drop as compared to other packing material. Also high velocity difference between the flowing phase and stationary support increase the transport rate, which can be achieved by using solid foam. To design and optimize such processes it is necessary to understand the hydrodynamic behaviour of fluid flow through such material. Due to the random and complex geometrical shapes, most of the work on solid foams is experimental, and a limited number of numerical and analytical studies are available in literature. To study the flow at pore-scale level, we have developed an Immersed Boundary Method (IBM) based simulation technique. A second order accurate implicit Immersed Boundary Method (IBM) inspired by Deen et al. (2012, Chem. Eng. Sci. 81, pp. 329-344) is implemented to resolve such structure on a non-boundary fitted computational-grid. A single representative unit cell (RUC) of the solid foam in a periodic computational domain is considered and the geometry of the RUC is approximated based on structural packing of a tetrakaidecahedron (Kelvin?s unit cell) with cylindrical strut morphology [Fig. 1]. A total of twelve foam structures of different porosity varying from 0.638 to 0.962 are considered. The flow Reynolds number based on superficial velocity and equivalent spherical diameter is varied from creeping flow regime to as high as 500. The current simulation results can also be extended for foams of different pore densities. An empirical correlation for the friction factor is proposed as a function of porosity and Reynolds number.

M3 - Conference contribution

BT - Proceedings of the 12th International Conference on Gas-Liquid & Gas-Liquid-Solid Reactor Engineering (GLS12)

PB - American Institute of Chemical Engineers (AIChE)

ER -

Das S, Kuipers JAM, Deen NG. Pore-scale level numerical simulation of flow in a solid foam: an Immersed Boundary Method (IBM) based approach. In Proceedings of the 12th International Conference on Gas-Liquid & Gas-Liquid-Solid Reactor Engineering (GLS12). American Institute of Chemical Engineers (AIChE). 2015.