Journal ArticleDOI
A Heat Transfer Analysis for Solidification of Slabs, Cylinders, and Spheres
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TLDR
In this article, a unified approach is adopted that allows simultaneous treatment of the problem in plane, cylindrical, and spherical geometries for three different types of boundary condition and a general recurrence formula is derived for the determination of the series solutions up to any desired order of the Stefan number.Abstract:
The method of strained coordinates is applied to the inward solidification problem. Constant thermal properties are assumed throughout the analysis for the liquid, which is initially at the fusion temperature. A unified approach is adopted that allows the simultaneous treatment of the problem in plane, cylindrical, and spherical geometries for three different types of boundary condition. A general recurrence formula is derived for the determination of the series solutions up to any desired order of the Stefan number. A comparison is made with numerical and regular perturbation solutions in the plane case to illustrate the usefulness and the validity of the method.read more
Citations
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Journal ArticleDOI
Numerical and experimental study of spherical capsules packed bed latent heat storage system
TL;DR: In this paper, a numerical model to simulate a storage system composed of spherical capsules filled with PCM placed inside a cylindrical tank fitted with a working fluid circulation system to charge and discharge the storage tank is presented.
Journal ArticleDOI
A parametric study on ice formation inside a spherical capsule
TL;DR: In this paper, the authors reported the results of a numerical study on the heat transfer during the process of solidification of water inside a spherical capsule and the governing equations of the problem and associated boundary conditions were formulated and solved using a finite difference approach and a moving grid scheme.
Journal ArticleDOI
Total solidification time of a liquid phase change material enclosed in cylindrical/spherical containers
Levent Bilir,Zafer Ilken +1 more
TL;DR: In this article, the authors investigated the inward solidification problem of a phase change material (PCM) encapsulated in a cylindrical/spherical container with a third kind of boundary condition.
Journal ArticleDOI
Solidification of pcm inside a spherical capsule
TL;DR: In this article, the authors presented a numerical study of the solidification of a pcm enclosed in a spherical shell, based on pure conduction in the pcm subject to boundary conditions of constant temperature or convection heat transfer on the external surface of the spherical shell.
Journal ArticleDOI
Study on performance of a packed bed latent heat thermal energy storage unit integrated with solar water heating system
TL;DR: In this article, the experimental evaluation of thermal performance of a packed bed latent heat TES unit integrated with solar flat plate collector is presented, which contains paraffin as phase change material (PCM) filled in spherical capsules, which are packed in an insulated cylindrical storage tank.