An Implicit/Explicit Numerical Solution Scheme for Phase-Change Problems

1984 ◽  
Vol 7 (1) ◽  
pp. 1-15
Author(s):  
E. M. Sparrow ◽  
W. Chuck
Keyword(s):  
Phase Change ◽  
Numerical Solution ◽  
Solution Scheme

Numerical solution of phase-change problems

1973 ◽  
Vol 16 (10) ◽  
pp. 1825-1832 ◽  
Author(s):  
C. Bonacina ◽  
G. Comini ◽  
A. Fasano ◽  
M. Primicerio
Keyword(s):  
Phase Change ◽  
Numerical Solution

Numerical Solution of Heat Transfer During Solidification of an Encapsulated Phase Change Material

2013 ◽  
Author(s):  
Antonio Ramos Archibold ◽  
Muhammad M. Rahman ◽  
D. Yogi Goswami ◽  
Elias L. Stefanakos
Keyword(s):  
Heat Transfer ◽  
Phase Change ◽  
Numerical Solution ◽  
Phase Change Material ◽  
Outer Surface ◽  
Power Plants ◽  
Thermal Power ◽  
Melting Front ◽  
Stefan Number ◽  
Change Material

Macro encapsulation techniques have gained considerable attention in latent heat storage systems for solar energy applications in order to improve the overall energy conversion efficiency in solar thermal power plants. However the heat transfer mechanisms that govern the charging and discharging processes at high operating temperatures are still under development and represent an important aspect in the thermal energy storage design process. This study presents a numerical solution of the heat transfer and phase change that occurs during the solidification process of a phase change material (PCM) encapsulated in a spherical container. A transient two-dimensional axisymmetric mathematical model was solved using the control volume discretization approach along with the enthalpy-porosity method to track the melting front. A spherical shell of thickness t, under the gravitational field is completely filled with liquid PCM. For time t>0, a constant temperature boundary condition Tw, which is lower than the phase change temperature of the PCM, is imposed at the outer surface of the shell. A comprehensive analysis is presented in order to assess the role of the capsule size, buoyancy-driven flow in the liquid phase, and shell outer surface temperature on the thermal performance of the system. Results show that with the increase of Stefan number the solidification rate is enhanced. A reduction of 39.25% in total solidification time is predicted when the Stefan number changed from 0.095 to 0.143. Finally a generalized correlation for the solid mass fraction during solidification is obtained based on a combination of Fourier and Stefan numbers and a dimensionless material parameter.

scholarly journals Numerical Solution of Thermal and Fluid Flow with Phase Change by VOF Method.

2000 ◽  
Vol 66 (649) ◽  
pp. 2405-2412 ◽  
Author(s):  
Hidemi SHIRAKAWA ◽  
Yasuyuki TAKATA ◽  
Torato KUROKI ◽  
Takehiro ITO ◽  
Shinobu SATONAKA
Keyword(s):  
Fluid Flow ◽  
Phase Change ◽  
Numerical Solution ◽  
Vof Method

scholarly journals A NUMERICAL SOLUTION THAT DETERMINES THE TEMPERATURE FIELD INSIDE PHASE CHANGE MATERIALS: APPLICATION IN BUILDINGS

2013 ◽  
Vol 19 (4) ◽  
pp. 518-528 ◽  
Author(s):  
Giuseppina Ciulla ◽  
Valerio Lo Brano ◽  
Antonio Messineo ◽  
Giorgia Peri
Keyword(s):  
Phase Change ◽  
Numerical Solution ◽  
Building Materials ◽  
Phase Change Materials ◽  
Energy Savings ◽  
Transfer Problem ◽  
Energy Performance ◽  
Wall Layer ◽  
Storage Device ◽  
Thermal Mass

The use of novel building materials that contain active thermal components would be a major advancement in achieving significant heating and cooling energy savings. In the last 40 years, Phase Change Materials or PCMs have been tested as thermal mass components in buildings, and most studies have found that PCMs enhance the building energy performance. The use of PCMs as an energy storage device is due to their relatively high fusion latent heat; during the melting and/or solidification phase, a PCM is capable of storing or releasing a large amount of energy. PCMs in a wall layer store solar energy during the warmer hours of the day and release it during the night, thereby decreasing and shifting forward in time the peak wall temperature. In this paper, an algorithm is presented based on the general Fourier differential equations that solve the heat transfer problem in multi-layer wall structures, such as sandwich panels, that includes a layer that can change phase. In detail, the equations are proposed and transformed into formulas useful in the FDM approach (finite difference method), which solves the system simultaneously for the temperature at each node. The equation set proposed is accurate, fast and easy to integrate into most building simulation tools in any programming language. The numerical solution was validated using a comparison with the Voller and Cross analytical test problem.

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