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Prediction of liquid metal viscosities using an adjustable hard sphere radial distribution curve

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Abstract

Predictions of liquid metal viscosities have been made using the Born-Green equation. The pair potential was calculated by the Percus-Yevick and hypernetted chain equations with the predicted structure factor and was used with the Mie-Gruneisen potential to make the calculations. Instead of using an experimentally determined radial distribution curve, however, an adjustable hard sphere radial distribution curve is employed to obtain the pair potential. The first peak of the hard sphere radial distribution curve used here was adjusted to represent the radial distribution curve at the melting point for any liquid metal. This was done by using the number of nearest neighbors and the distance to the first maximum in the radial distribution curve. This is possible because of the similarities in the radial distribution curves of liquid metals. A temperature correction is employed so that the viscosities can be calculated over a wide temperature range. The results are compared with literature values.

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Authors and Affiliations

  1. Honda of America Manufacturing, Inc., 43040, Marysville, OH

    Anthony L. Hines

  2. University of Missouri-Columbia, 65211, Columbia, MO

    Tsair-Wang Chung

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  1. Anthony L. Hines
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  2. Tsair-Wang Chung
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Hines, A.L., Chung, TW. Prediction of liquid metal viscosities using an adjustable hard sphere radial distribution curve. Metall Mater Trans B 27, 29–34 (1996). https://doi.org/10.1007/BF02915073

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