Clinical Commentary on Mistry et al.

Mathur, Sunita

doi:10.3138/ptc.2013-40-cc

Cited by 1 publication

(2 citation statements)

References 4 publications

(3 reference statements)

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“…The nature of the boundary conditions imposed on the sample implies an asymptotic behavior that can be predicted, allowing to find the amount of liquid and solid that will be oscillating in the sample. The results obtained in [2][3] are generalized to consider the transient part of the solution.…”

Section: Discussionmentioning

confidence: 99%

“…The study of phase change processes through the analysis of moving boundary problems has a wide variety of applications. These applications rely on the use of phase change materials (PCMs) in concentrating solar power (CSP) plants for thermoelectric generation as described by Gil and Mathur [1][2]. Additionally, solar energy harvesting for domestic hot water systems has been studied by Cabeza and Xie [3][4].…”

Section: Introductionmentioning

confidence: 99%

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Complex Fourier series expansion for the liquid-solid phase transition in PCM layers: transient and steady state periodic regimes

2021

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Semi-analytical solutions to the classical two phase Stefan problem are proposed. Time dependent solutions to the one-dimensional liquid-solid phase transition in a PCM wallboard subjected to isothermal and periodic Dirichlet boundary conditions are obtained. Transient and steady state solutions are found in finite size systems, and the semi-analytical solutions are validated through the asymptotic time limit behaviour of the phase transition. In this work, complex Fourier methods are proposed to find the solutions in the transient and steady state periodic regimes. Semi-analytical solutions based on the heat balance integral method (HBIM) are used to verify the consistency of the proposed method. The Fourier method can be pictured as a generalization of the phasors based method recently introduced by other authors. The proposed method incorporates a complete set of complex functions, which allows finding the transient and steady state response of the system. Finally, solutions for the time dependent interface position, liquid and solid temperature distributions and the thermal energy penetrating through the PCM wallboard, are shown. The solutions from the proposed method are found to be consistent when compared to the semi-analytical solutions estimated through the HBIM.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%