デルタ列関数を用いた相変化を含む熱拡散問題の解析法

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About 10 percent of the crude oil imported into Japan is high pour point oil which tends to be solidified at a normal temperature. The oil tankers carrying high pour point crude oil are almost equiped with the tank heating system composed of meandering steam pipe to make easy cargo oil handling by keeping fluidity. However, the accidents of oil solidification occasionally occur during pumping up cargo oil for the sake of inadequate oil heating system or unskillful pump operation. In this case, the heat energy of steam in heating coil is transfered to crude oil in solid state for fusion. In order to investigate the heat transfer with moving boundary of solid and liquid phase, so-called Stefan problem, the method of numerical analysis by the finite element method with fixed mesh is proposed in which the enthalpy in heat transfer equation is expressed continuously by using the function of delta-sequence at interface of both phases. This analytical method has a characteristic that a fairly large margin of discretization errors caused by the interface element located at phase boundary will be introduced during solving the simultaneous equations on heat transfer. But the errors due to interface element are decreased by means of dividing into fine mesh of domain about twice or three times than usual. The spreaded melting zone, the oil temperature and flow velocity in liquid phase are calculated about two examinable models and two tank bottom models for judging the justice of analytical method.
社団法人日本船舶海洋工学会の論文
1985-08-24

著者

福地信義
九州大学工学部

デルタ列関数を用いた相変化を含む熱拡散問題の解析法

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