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CBMS的流体动力学方程组

HYDRODYNAMIC EQUATIONS OF THE PROCESS OF CHILL BLOCK MELT-SPINNING

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【作者】 陈金昌徐礼宇彭长平

【Author】 CHEN Jinchang; XU Liyu; PEN Changpin (Central Iron and Steel Research Institute, Ministry of Metallurgical Industry, Beijing)

【机构】 冶金工业部钢铁研究总院冶金工业部钢铁研究总院

【摘要】 本文由粘性流体动力学方程组导出溶潭内涡旋、速度及温度的分布。求得合金Fe40Ni40P14B6的热边界层厚度ΔRT及粘性切变层厚度ΔRv分别是140μm及11μm。在非晶带-溶潭的交界面处淬火速率是4.6—2.3×106℃/s,而固化时间则是0.8—1.6×10-4s。非晶宽带的厚度h与宽度b的经验公式在3—5%范围内与实验数据一致。h及b与线速度vr之间的关系式可用近于理想冷却模型加以描述。Prandtl准数Pr=7.8×10-2说明热边界层厚度比粘性切变层厚度大13倍,而Nusselt准数Nu=1—2表明非晶带-铜辊的交界面处于居间冷却状态。

【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, ΔRT, and viscous shear layer, ΔRv, of the alloy Fe40Ni40P14B6 are 140 and 11μm respectively. The quench rate on the ribbon at the ribbon-melt interface is (4.6—2.3)×106℃/s, and the solidification time is (0.8—1.6)×10-4s. 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, νr, 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.

  • 【文献出处】 金属学报 ,Acta Metallrugica Sinica , 编辑部邮箱 ,1983年02期
  • 【下载频次】24
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