2019
DOI: 10.1155/2019/9043670
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A Framework and Numerical Solution of the Drying Process in Porous Media by Using a Continuous Model

Abstract: The modelling and numerical simulation of the drying process in porous media are discussed in this work with the objective of presenting the drying problem as the system of governing equations, which is ready to be solved by many of the now widely available control-volume-based numerical tools. By reviewing the connection between the transport equations at the pore level and their up-scaled ones at the continuum level and then by transforming these equations into a format that can be solved by the control volu… Show more

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Cited by 10 publications
(12 citation statements)
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“…For a mixture of air and steam, Dalton's law states that the total pressure of the gas phase is equal to the sum of the partial pressures of steam and air. At the same time, under capillary pressure, the transfer of water out of the pores is hindered, and the pressure of free water in the pores can be expressed as (Vu and Tsotsas, 2019):…”
Section: Mass Conservation Equationmentioning
confidence: 99%
See 1 more Smart Citation
“…For a mixture of air and steam, Dalton's law states that the total pressure of the gas phase is equal to the sum of the partial pressures of steam and air. At the same time, under capillary pressure, the transfer of water out of the pores is hindered, and the pressure of free water in the pores can be expressed as (Vu and Tsotsas, 2019):…”
Section: Mass Conservation Equationmentioning
confidence: 99%
“…In the drying process, the surface of the rice mainly takes away heat by convection heat transfer, so the boundary heat loss can be expressed as (Vu and Tsotsas, 2019):…”
Section: Energy Conservation Equationmentioning
confidence: 99%
“…Afterward, the macroscopic differential equations were defined in terms of average field quantities. The detail descriptions of Whitaker's model can be found in Vu et al [20,21]. In this section, the mass and energy conservation equations are briefly recalled.…”
Section: Whitaker's Continuum Modelmentioning
confidence: 99%
“…The superficial velocity of the liquid and gas phased v l and v g (m/s) are calculated as v l ¼À KK r,l μ l ∇p l and v g ¼À KK r,g μ g ∇p g (20) where K (m 2 ) is the absolute permeability of the porous medium. K r,l and K r,v are the relative permeabilities of the liquid and gas phases, which are respectively [21,22]. In Eq.…”
Section: Mass Conservation Equation Of Liquid Watermentioning
confidence: 99%
“…Often, those are determined experimentally for a support, yet research into analytical derivations of those parameters from routinely measured bulk properties is quite active. Those models often rely on dedicated configurations of the pore size distributions and therefore allow the derivation of the relevant parameters from the porosity and the knowledge of minimum and maximum pore size. One interesting exception to this approach is given by the derivation of the averaged properties from an available pore size distribution, which offers a variety of potential insights in the impact of local pore morphology onto the drying process …”
Section: Introductionmentioning
confidence: 99%