Natural Heat Convection in a Vertical Circular Tube
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概要
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Pure natural heat convection fields in the entrance region of a heated vertical circular tube, in which the temperature and velocity profiles were developing simultaneously, were solved by a numerical method of finite difference. And then the characteristics of heat transfer were obtained. The analysis presented here was based on the assumption that the inlet velocity profile is uniform. It was verified analytically and numerically that, for the case of uniform wall temperature, the inlet velocity U_1 has an asymptotic value 1/8 as the tube length approaches infinity. As for the case of uniform heat flux at the wall, U_1 is directly proportional to √<L/p>_r over the range L>L_e, where L_e is the entrance length. The relationship between the dimensionless pipe length L and dimensionless suction velocity U_1 was also obtained, using P_r=0.72,for both the wall conditios. In the case that the pipe length is semi-infinite and the wall temperature is uniform, a relationship between P_r and thermal, as well as hydrodynamic, entrance length was obtained for P_r=0.01,0.1,0.72,1.0,10 and 100,and some interesting irregularities of developing velocity profiles were also observed except for the case P_r=1.0.
- 一般社団法人日本機械学会の論文
著者
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Izumi Ryotaro
Faculty Of Engineering Nagoya University
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Kageyama Manabu
Numazu Technical College
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Izumi Ryotaro
Faculty Of Engineering Shizuoka University
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