Author
T. Saitoh
Bio: T. Saitoh is an academic researcher from Tohoku University. The author has contributed to research in topics: Heat transfer & Cylinder (engine). The author has an hindex of 3, co-authored 3 publications receiving 173 citations.
Papers
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TL;DR: In this article, the change of variable method introduced by Landau for the one-dimensional problem is extended to the multi-dimensional using an independent variable which takes constant values at the boundary and the freezing front.
Abstract: This paper presents a simple numerical method for solving two and three-dimensional freezing problems with arbitrary geometries. The change of variable method introduced by Landau for the one-dimensional problem is extended to the multi-dimensional using an independent variable which takes constant values at the boundary and the freezing front. Example calculations were performed for the Stefan type freezing problem in regular squares, triangles, and ellipses. Then some of the results were compared with the experimental ones that were obtained for the constant cooling rate.
108 citations
56 citations
TL;DR: In this article, the problem of three-dimensional thermal instability over a horizontal ice cylinder which occurs in a minimum heat transfer region has been solved by a fully numerical method applied to the governing equations in the transverse and longitudinal planes.
Abstract: The problem of three-dimensional thermal instability over a horizontal ice cylinder which occurs in a minimum heat transfer region has been solved. A fully numerical method was applied to the governing equations in the transverse and longitudinal planes, which were simplified to two-dimensional. The perturbation method was employed to obtain the wave number. The appearance of a convexo-concave melting front, which was predicted by a previous experiment, was clearly explained by the convection pattern along the cylinder. The transient process of onset of stable vortices around a cylinder was clarified by streamlines and isotherms. Comparing the wave numbers obtained by the numerical and the small perturbation methods, it is concluded that the perturbation method cannot be effectively applied to problems involving density inversion.
9 citations
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TL;DR: In this paper, a review of the history of thermal energy storage with solid-liquid phase change has been carried out and three aspects have been the focus of this review: materials, heat transfer and applications.
4,019 citations
TL;DR: In this article, an experimental and computational investigation directed at understanding the role of buoyancy-driven convection during constrained melting of phase change materials (PCM) inside a spherical capsule is reported.
366 citations
TL;DR: Tarzia et al. as discussed by the authors presented a bibliografía on moving and free boundary problems for the heatdiffusion equation, particularly regarding the Stefan and related problems, which contains 5869 titles referring to 588 scientific journals, 122 books, 88 symposia, 30 collections, 59 thesis and 247 technical reports.
Abstract: We present a bibliography on moving and free boundary problems for the heatdiffusion equation, particularly regarding the Stefan and related problems. It contains 5869 titles referring to 588 scientific Journals, 122 books, 88 symposia (having at least 3 contributions on the subject), 30 collections, 59 thesis and 247 technical reports. It tries to give a comprehensive account of the western existing mathematicalphysical-engineering literature on this research field. RESUMEN Se presenta una bibliografía sobre problemas de frontera móvil y libre para la ecuación del calor-difusión, en particular sobre el problema de Stefan y problemas relacionados. Contiene 5869 títulos distribuidos en 588 revistas científicas, 122 libros, 88 simposios (teniendo al menos 3 contribuciones en el tema), 30 colecciones, 59 tesis y 247 informes técnicos o prepublicaciones. Se da un informe amplio de la bibliografía matemática, física y de las ingenierías existente en occidente sobre este tema de investigación. Primary Mathematics Subject Classification Number (*): 35R35, 80A22 Secondary Mathematics Subject Classification Number (*): 35B40, 35C05, 35C15, 35Kxx, 35R30, 46N20, 49J20, 65Mxx, 65Nxx, 76R50, 76S05, 76T05, 93C20. (*) Following the 1991 Mathematics Subject Classification compiled by Mathematical Reviews and Zentralblatt fur Mathematik. Primary key words: Enthalpy formulation or method, Filtration, Free boundary problems, Freezing, Melting, Moving boundary problems, Mushy region, Phase-change problem, Solidification, Stefan problem. Secondary key words: Continuous mechanics, Diffusion process, Functional analysis, Heat conduction, Mathematical methods, Numerical methods, Partial differential equations, Variational inequalities, Weak solutions. Palabras claves primarias: Método o formulación en entalpía, Filtración, Problemas de frontera libre, Congelación, Derretimiento, Problemas de frontera móvil, Región pastosa, Problema de cambio de fase, Solidificación, Problema de Stefan. Palabras claves secundarias: Mecánica del continuo, Procesos difusivos, Análisis funcional, Conducción del calor, Métodos matemáticos, Métodos numéricos, Ecuaciones diferenciales a derivadas parciales, Inecuaciones variacionales, Soluciones débiles. El manuscrito fue recibido y aceptado en octubre de 1999. D.A. Tarzia, A bibliography on FBP. The Stefan problem, MAT Serie A, # 2 (2000). 3
224 citations
TL;DR: In this article, the melting behavior of paraffin wax as a phase change material (PCM) encapsulated in a cylindrical capsule, used in a latent heat thermal energy storage system with a solar water heating collector, is analyzed.
170 citations
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TL;DR: A review of the current knowledge on phase-change phenomena, with particular focus on phase change problems from solid to liquid or to gas, can be found in this article, where the authors consider one-dimensional conduction heat transfer problems for the development of solution methods.
Abstract: Publisher Summary Melting and freezing are important processes and these processes have played a decisive role in the formation of the Earth. This phase-change phenomena have become an indispensable part of many processes, such as, manufacturing of glass, crystals, and metal alloys; continuous casting of ingots, fabrics, and wires; food preservation and cryopreservation of biological cells; and desalination of seawater and freezing-out separation processes. This chapter reviews the current knowledge on phase-change phenomena, with particular focus on phase-change problems from solid to liquid or to gas. Because of their simplicity, one-dimensional, phase-change problems involving conduction heat transfer are the most frequently used model problems for the development of solution methods. This chapter begins with the consideration of such one-dimensional methods, either exact or approximate, which have been widely used in the literature. The substantial information about the physics of phase-change processes that can, in fact, be learned from studies of these simple models is discussed. The multidimensional conduction phase-change problems as well as the additional physics attributable to geometrical complexities are also reviewed.
169 citations