Density of Liquid Fe-Mn-C Alloys

Abstract

The density of liquid Fe-Mn-C alloys was determined at temperatures ranging from 1687 K to 1834 K (1414 °C to 1561 °C) by using the advanced sessile drop method. Regression analysis of the experimental data produced the following description of the density of the Fe-Mn-C alloys:

$$ \begin{gathered} \rho_{{{\text{Fe-}}{\text{Mn}} - {\text{C}}}} \left[ {{\text{g}}/{\text{cm}}^{3} } \right] = \left\{ {\left( {7.10 - 2.2 \times {\text{WFM}} + 0.60 \times {\text{WFM}}^{2} } \right)} \right. \hfill \\ \left. { - \left( {0.129 + 0.67 \times {\text{WFM}}} \right) \times \left[ {{\text{wt}}\;{\text{pct}}\;{\text{C}}} \right] + \left( {1.45 \times 10^{ - 2} + 7.6 \times 10^{ - 2} \times {\text{WFM}}} \right) \times \left[ {{\text{wt}}\;{\text{pct}}\;{\text{C}}} \right]^{2} } \right\} \hfill \\ - \left\{ {1.83 \times 10^{ - 3} - \left( {4.11 \times 10^{ - 5} + 1.7 \times 10^{ - 6} \times {\text{WFM}}} \right) \times \left[ {{\text{wt}}\;{\text{pct}}\;{\text{C}}} \right]} \right\} \times \left( {T - 1823} \right) \hfill \\ \end{gathered} $$

where

$$ {\text{WFM}} = \frac{{\left[ {{\text{wt}}\;{\text{pct}}\;{\text{Mn}}} \right]}}{{\left[ {{\text{wt}}\;{\text{pct}}\;{\text{Mn}}} \right] + \left[ {{\text{wt}}\;{\text{pct}}\;{\text{Fe}}} \right]}} $$