A general mathematical modelling for heat and mass transfer in unsaturated porous media: an application to free evaporative cooling

Liu, W.; Peng, S. W.

doi:10.1007/bf02537421

Cited by 35 publications

(24 citation statements)

References 15 publications

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“…In the previous study on unsaturated porous media, by analyzing the heat and moisture coupled model proposed by Philip and De Vries [3,11], combining the volume-averaging method presented by Whitaker [12], we have built a general mathematical model of simultaneous heat, moisture, and gas migration in an unsaturated porous media [13]. It has been successfully applied in the study on the transport processes in soil [14].…”

Section: Basic Assumptionsmentioning

confidence: 98%

Numerical investigation on the temperature effect on the transport of soil solute

Fan

Liu

2006

Heat Trans. Asian Res.

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In the present paper, a mathematical model called the TE-Model has been built to describe the simultaneous transport of heat, water, gas, and solute in soil, in which the temperature effects on the transports of soil water and soil solute were taken in account. When the temperature effect was neglected, we call it the NTE-Model. Taking NaCl as an example, numerical calculations under constant environmental factors have been carried out to investigate the temperature effect on the transport of soil solute, which showed that the concentrations of NaCl in deep soil layers rose rapidly at the initial stage and then the upward movements slowed down. However, there was a large hysteresis in the concentration variation of soil solute in the shallow layers. After the initial stage, the concentration of NaCl rose almost linearly with time. Furthermore, the concentrations calculated through the TE-Model was larger than those calculated through the NTE-Model. At the conclusion of the 5-year calculating process, relative deviations in soil solute concentration at 10 different depths have been found to reach 61.5%, 59.6%, 54.7%, 49.2%, 44.5%, 40.9%, 37.5%, 34.1%, 29.8%, and 23.0%, respectively.

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Section: Basic Assumptionsmentioning

confidence: 98%

Numerical investigation on the temperature effect on the transport of soil solute

Fan

Liu

2006

Heat Trans. Asian Res.

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“…The porous plate shown schematically in Fig. 1(b) is considered as an unsaturated porous media in which the model to describe the heat, moisture, and vapor migration media with phase change has been established [7,8]. The mathematical model is described below.…”

Section: 4 Theoretical Modelingmentioning

confidence: 99%

“…(4) Noting that K g = k g g / n g and K l = k l g / n l , we had developed an effective formulation to calculate the gaseous infiltrating conductivity K g [8] corresponding to the liquid hydraulic conductivity K l , which can demonstrate the mechanisms of Darcy's drag resistance in terms of gaseous phase and the reaction of liquid to gaseous mixture. It may be rarely considered by others and could be written as…”

Section: Continuity Equationsmentioning

confidence: 99%

Thermal analysis on the cooling performance of a porous evaporative plate for building

Chen

Liu

2010

Heat Trans. Asian Res.

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In this paper, a wet porous cooling plate has been used for a building wall. Cooling can be achieved due to the evaporation in the porous layer. A mathematical model on the heat and mass transfer in the unsaturated porous media is developed to analyze the influences of ambient conditions and the porous layer thickness on the cooling performance of the porous evaporative plate. With a decrease in ambient relative humidity and an increase in ambient temperature, more cooling of the porous evaporative plate can be supplied for the inside of the room. The heat exchange between the inside surface of the porous plate and the air in the room should be intensified to achieve a higher cooling efficiency of the porous plate. The ambient wind speed and the thickness of the porous plate also have significant influence on the average temperature of the porous plate. All these results should be taken into account for the utilization of the porous evaporative cooling plate.

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“…Liu et al [49] undertook a similar approach based on transient and two-dimensional differential conservation equations for a porous media with evaporative cooling whereby transport properties were described by empirical correlations for respective phases. Thus, they were able to investigate the influence of diffusive motion of vapour on transport of mass, momentum, and energy.…”

Section: One-phase (Homogeneous) Modelsmentioning

confidence: 99%

Simulation of thermal conversion of solid fuel by the discrete particle method

Peters¹,

Džiugys²,

Navakas³

2011

Lith. J. Phys.

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We introduce the discrete particle method (DPM) that derives from the discrete element method (DEM). This is an advanced numerical simulation tool that takes into account both motion and chemical conversion of granular material, such as coal or biomass, in furnaces in conjunction with computational fluid dynamics (CFD). However, predictions of solely motion or conversion in a decoupled mode are also applicable. The DPM uses object oriented computational techniques that support objects representing three-dimensional particles of various shapes, size, and physical properties of particle material. This makes DPM a highly versatile tool in dealing with a variety of problems related to different industrial applications of granular matter. A review of literature concerning different approaches to mass and heat transfer in packed beds is presented.

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A general mathematical modelling for heat and mass transfer in unsaturated porous media: an application to free evaporative cooling

Cited by 35 publications

References 15 publications

Numerical investigation on the temperature effect on the transport of soil solute

Numerical investigation on the temperature effect on the transport of soil solute

Thermal analysis on the cooling performance of a porous evaporative plate for building

Simulation of thermal conversion of solid fuel by the discrete particle method

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