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 volume method, we would like to present an easy-to-use framework for studying the drying process in porous media. In order to take into account the microstructure of porous media in the format of pore-size distribution, the concept of bundle of capillaries is used to derive the needed transport parameters. Some numerical examples are presented to demonstrate the use of the presented formulas.
Highlights
Academic Editor: Doraiswami Ramkrishna e 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 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 by transforming these equations into a format that can be solved by the control volume method, we would like to present an easy-to-use framework for studying the drying process in porous media
The drying of porous media can be modelled as a network of pores, and the motion of the liquid-gas interface is modelled at the pore level, for example, in the work of Laurindo and Prat [7], Prat [8], Segura and Toledo [9], Metzger et al [10], and Hirschmann and Tsotsas [11]
Summary
Received 29 October 2018; Revised 11 February 2019; Accepted 4 March 2019; Published 1 April 2019. The drying of porous media can be modelled as a network of pores, and the motion of the liquid-gas interface is modelled at the pore level, for example, in the work of Laurindo and Prat [7], Prat [8], Segura and Toledo [9], Metzger et al [10], and Hirschmann and Tsotsas [11] By using this approach [12], which we will refer to as the discrete approach, the microscopic structure and the transport properties of the porous medium can be modelled with better accuracy. The problem becomes very large, and solving the system of equations of coupled heat-mass transfer becomes in many cases impractical, in particular when dealing with systems of large geometrical dimension In such cases, the use of the continuous approach is more relevant (see for example [13, 14] or [15]).
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