Freezing of Liquid-Saturated Porous Media

1986 ◽  
Vol 108 (3) ◽  
pp. 654-659 ◽  
Author(s):  
J. A. Weaver ◽  
R. Viskanta
Keyword(s):  
Mathematical Model ◽  
Porous Medium ◽  
Temperature Distribution ◽  
Saturated Porous Medium ◽  
Interface Position ◽  
Sensitivity Studies ◽  
Solid Liquid Interface ◽  
Solid Liquid ◽  
The Mathematical Model ◽  
Change Material

The paper reports on an experimental and analytical study of freezing of a liquid-saturated porous medium. Experiments have been performed in a cylindrical capsule cooled from the outside and oriented vertically and horizontally to obtain quantitative temperature distribution and fusion front motion and shape data. Different-size glass and aluminum spherical beads were used for the porous medium, and distilled water was used as the phase-change material. A mathematical model, based on a one-dimensional analysis which considered heat conduction as the only mode of heat transfer in both the solid and liquid regions, has been developed and sensitivity studies have been carried out. Comparison of experimental data with predictions of the solid–liquid interface position and temperature distribution shows good agreement and thus confirms the mathematical model for a system of glass beads and water. However, for a system of aluminum beads and water the thermophysical property model is inadequate, and agreement between predictions and data is relatively poor.

scholarly journals Approximate Analytical Solution for One-Dimensional Solidification Problem of a Finite Superheating Phase Change Material Including the Effects of Wall and Thermal Contact Resistances

2012 ◽  
Vol 2012 ◽  
pp. 1-20 ◽  
Author(s):  
Hamid El Qarnia ◽  
Fayssal El Adnani ◽  
El Khadir Lakhal
Keyword(s):  
Analytical Solution ◽  
Phase Change ◽  
Phase Change Material ◽  
Liquid Interface ◽  
Solid Shell ◽  
Interface Position ◽  
Temperature Distributions ◽  
Solid Liquid Interface ◽  
Solid Liquid ◽  
Change Material

This work reports an analytical solution for the solidification of a superheating phase change material (PCM) contained in a rectangular enclosure with a finite height. The analytical solution has been obtained by solving nondimensional energy equations by using the perturbation method for a small perturbation parameter: the Stefan number,ε. This analytical solution, which takes into account the effects of the superheating of PCM, finite height of the enclosure, thickness of the wall, and wall-solid shell interfacial thermal resistances, was expressed in terms of nondimensional temperature distributions of the bottom wall of the enclosure and both PCM phases, and the dimensionless solid-liquid interface position and its dimensionless speed. The developed solution was firstly compared with that existing in the literature for the case of nonsuperheating PCM. The predicted results agreed well with those published in the literature. Next, a parametric study was carried out in order to study the impacts of the dimensionless control parameters on the dimensionless temperature distributions of the wall, the solid shell, and liquid phase of the PCM, as well as the solid-liquid interface position and its dimensionless speed.

scholarly journals Kinetics of filtration consolidation of water-saturated clay soils

2020 ◽  
pp. 86-95 ◽  
Author(s):  
O. V. Ageikina ◽  
V. V. Vorontsov ◽  
R. R. Sufyanov
Keyword(s):  
Mathematical Model ◽  
Porous Medium ◽  
Saturated Porous Medium ◽  
Experimental Studies ◽  
Saturated Soils ◽  
Consolidation Process ◽  
Filtration Consolidation ◽  
Wide Range ◽  
Water Saturated ◽  
The Mathematical Model

The relevance of the research processes filtration consolidation due to the place of water-saturated soils in various design solutions related to the exploration, production and transportation of hydrocarbons. It should be noted that the diversity of soils led to the emergence of a wide range of mathematical models, obtained on the basis of generalization of experimental data and various assumptions to simplify engineering calculations. The article presents the results of theoretical and experimental studies of the mathematical model of the consolidation process of a water-saturated porous medium. This model is based on simplifying assumptions that are different from those adopted in well-known solutions. A fundamental approach to the formation of the model was developed on the basis of the kinetic representations of chemical reactions used in solving the environmental problems of epoxidation reactions of olefins. We determined the parameters of the mathematical model of the consolidation process of the saturated porous medium of clayey soil and confirmed its adequacy by the research results. In addition, we established the parameters of the field of non-equilibrium filtration, reducing the nonexistent ability of water-saturated soils.

The Cooling Time of Gas Assisted Injection Molding

2011 ◽  
Vol 221 ◽  
pp. 422-428
Author(s):  
Qiu Xiang Bu ◽  
Xiao Zhang ◽  
Hai Ying Chen ◽  
Qing Zhen Yin
Keyword(s):  
Mathematical Model ◽  
Injection Molding ◽  
Wall Thickness ◽  
Cooling Time ◽  
Cooling Process ◽  
Liquid Phases ◽  
Solid Liquid Interface ◽  
Solid Liquid ◽  
The Mathematical Model ◽  
Plastic Products

The mathematical model of solid-liquid interface is obtained by making an idealized hypothesis for parameters of the cooling process in gas-assisted injection molding, and simplifying the mathematical model. And then the cooling time of plastic products in the process is obtained by using two ways of solving the solid and liquid phases. And verified by example the conclusions that some plastic products of gas-assisted injection molding, when the materials and workmanship conditions are constant, cooling time of the airway is proportional to the square of the wall thickness is obtained.

A Moving Boundary Problem in a Finite Domain

1990 ◽  
Vol 57 (1) ◽  
pp. 50-56 ◽  
Author(s):  
Z. Dursunkaya ◽  
S. Nair
Keyword(s):  
Temperature Distribution ◽  
Differential Equations ◽  
Moving Boundary ◽  
Moving Boundary Problem ◽  
Fourier Series Expansion ◽  
Finite Domain ◽  
Finite Region ◽  
Interface Location ◽  
Solid Liquid Interface ◽  
Solid Liquid

The heat conduction and the moving solid-liquid interface in a finite region is studied numerically. A Fourier series expansion is used in both phases for spatial temperature distribution, and the differential equations are converted to an infinite number of ordinary differential equations in time. These equations are solved iteratively for the interface location as well as for the temperature distribution. The results are compared with existing solutions for low Stefan numbers. New results are presented for higher Stefan numbers for which solutions are unavailable.

Analytical considerations of thermal storage and interface evolution of a PCM with/without porous media

2019 ◽  
Vol 30 (1) ◽  
pp. 373-400 ◽  
Author(s):  
Huijin Xu ◽  
Yan Wang ◽  
Xingchao Han
Keyword(s):  
Porous Medium ◽  
Metal Foam ◽  
Thermal Storage ◽  
Liquid Interface ◽  
Storage Device ◽  
Content Type ◽  
Foam Composite ◽  
Storage Rate ◽  
Solid Liquid Interface ◽  
Solid Liquid

Purpose Phase change energy storage is an important solution for overcoming human energy crisis. This study aims to present an evaluation for the thermal performances of a phase change material (PCM) and a PCM–metal foam composite. Effects of pore size, pore density, thermal conductivity of solid structure and mushy region on the thermal storage process are examined. Design/methodology/approach In this paper, temperature, flow field and solid–liquid interface of a PCM with or without porous media were theoretically assessed. The influences of basic parameters on the melting process were analyzed. A PCM thermal storage device with a metal foam composite is designed and a thermodynamic analysis for it is conducted. The optimal PCM temperature and the optimal HTF temperature in the metal foam-enhanced thermal storage device are derived. Findings The results show that the solid–liquid interface of pure PCM is a line area and that of the mixture PCM is a mushy area. The natural convection in the melting liquid is intensive for a PCM without porous medium. The porous medium weakens the natural convection and makes the temperature field, flow field and solid–liquid interface distribution more homogeneous. The metal foam can greatly improve the heat storage rate of a PCM. Originality/value Thermal storage rate of a PCM is compared with that of a PCM–metal foam composite. A thermal analysis is performed on the multi-layered parallel-plate thermal storage device with a PCM embedded in a highly conductive porous medium, and an optimal melting temperature is obtained with the exergy optimization. The heat transfer enhancement with metal foams proved to be necessary for the thermal storage application.

Numerical Simulation of Thermal Energy Storage in Cylindrical Cells

2002 ◽  
Author(s):  
Horacio Ramos-Aboites ◽  
Abel Hernandez-Guerrero ◽  
Salvador M. Aceves ◽  
Raul Lesso-Arroyo
Keyword(s):  
Energy Storage ◽  
Phase Change ◽  
Fluid Flows ◽  
Melting Process ◽  
Inlet Temperature ◽  
Transient Model ◽  
Storage Cell ◽  
Solid Liquid Interface ◽  
Solid Liquid ◽  
Change Material

This paper presents the results of a -numerical transient model for phase change in a storage cell filled with a phase change material (PCM). Phase change occurs under the presence of natural convection. The PCM is encapsulated in a cylindrical energy storage cell. Two cases of PCM melting are analyzed, (1) the surface temperature of the bottom half of the cylindrical cell is kept at a constant temperature, which is higher than the melting temperature of the PCM, and (2) a fluid flows under the cell with an inlet temperature that is higher than the melting point of the PCM. The results show the evolution of the solid-liquid interface, isotherms and flow lines during the melting process.

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