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HYDRODYNAMIC EQUATIONS OF THE PROCESS OF CHILL BLOCK MELT-SPINNING |
CHEN Jinchang; XU Liyu; PEN Changpin (Central Iron and Steel Research Institute; Ministry of Metallurgical Industry; Beijing) |
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Cite this article:
CHEN Jinchang; XU Liyu; PEN Changpin (Central Iron and Steel Research Institute; Ministry of Metallurgical Industry; Beijing). HYDRODYNAMIC EQUATIONS OF THE PROCESS OF CHILL BLOCK MELT-SPINNING. Acta Metall Sin, 1983, 19(2): 118-125.
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Abstract The distribution of vorticity, velocity and temperature of the melt puddle were obtained by the viscous hydrodynamic equations. It is found that the thickness of thermal gradient layer, ΔR_T, and viscous shear layer, ΔR_v, of the alloy Fe_(40)Ni_(40)P_(14)B_6 are 140 and 11μm respectively. The quench rate on the ribbon at the ribbon-melt interface is (4.6—2.3)×10~6℃/s, and the solidification time is (0.8—1.6)×10~(-4)s. The empirical equations of thickness, h, and width, b, of the amorphous wide ribbons are in accord with the experimental data in the range of 3—5%. The observed relations among h, b and wheel velocity, ν_r, are well described by the model of nearly ideal cooling. The Prandtl number, Pr=7.8×10~(-2) indicating the thermal gradient layer was 13 times thicker than the viscous shear layer, and the Nusselt number, Nu=1—2 indicated intermediate cooling condition at the ribbon-wheel interface.
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Received: 18 February 1983
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