TED-AJ03-584 TIME HISTORY OF ICE-LAYER THICKNESS IN A SATURATED POROUS MEDIUM DUE TO TIME-VARYING COOLING TEMPERATURE

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概要

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• This paper describes a fundamental study on ice-layer formation and its melt along the cooling-surface, positioned at the top boundary in a rectangular space of water-saturated porous medium. The cooling temperature is varied periodically with time, while the bottom temperature is kept constant at 8 degrees centigrade. All the side walls are thermally insulated. Therefore, natural convection is present in general in the unfrozen layer, and it gives a significant effect on the heat balance at solid-liquid boundary. The goal of the present study is to develop a one-dimensional model, which is capable of predicting the transient response of ice-layer thickness to a prescribed cooling temperature variation. In the course of formulation, the Stefan number, the Rayleigh number and the cooling temperature conditions are identified as the important parameters of the problem. The one-dimensional theory predicts that the higher frequency of cooling temperature generally reduces the amplitude of oscillating solid front, and that the thickness of the solid layer increases the phase delay of the front movement relative to the cooling temperature variation. The validity of the one-dimensional model is extensively tested against two-dimensional numerical simulations for a dynamic response of interface movement. The agreement of the two is found excellent. Experiments are also conducted in order to verify our theoretical models. Spherical glass beads saturated with distilled water constitute the porous medium. A lower boundary is kept at 8 degrees at all time during experiments as it is assumed in the theory. The upper plate is first set at an arbitrary temperature lower than solidifying point, and then growth and decay of solid layer due to cooling temperature variation was recorded. A one-dimensional analysis is found again good enough to predict a dynamic response of the interface position.[figure]

• 一般社団法人日本機械学会の論文

著者

• Kiwata Takahiro

  Department Of Mechanical Systems Engineering Kanazawa University

• Kimura Shigeo

  Department Of Mechanical Systems Engineering Kanazawa University

• Kimura Shigeo

  Institute Of Nature And Environmental Technology Kanazawa University

• OKAJIMA Atsushi

  Department of Mechanical Engineering, Kanazawa University

• FUSAOKA Takahiro

  Department of Mechanical Systems Engineering, Faculty of Engineering, Kanazawa University

• Okajima Atsushi

  Kanazawa Gakuin Tanki University

• Okajima Atsushi

  Department Mechanical Engineering Kanazawa University

• Fusaoka Takahiro

  Department Of Mechanical Systems Engineering Faculty Of Engineering Kanazawa University

• KIMURA Shigeo

  Institute for Nature and Environmental Technology, Kanazawa University

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