Abstract
A method is demonstrated for reconstructing the two-dimensional boundary of the liquid core in a solidifying strand of aluminum using ultrasonic time-of-flight data. Approximating the boundary by an ellipse leads to a model that can be used to calculate the time of flight along any path in the plane of the ellipse. The shape and location of the ellipse is specified by four free parameters. A least-squares algorithm is then used to find the set of four parameters that provides the best fit to the measured time-of-flight data on ten intersecting paths through the strand. For a strand with a 6-in. square cross section, the agreement between the actual interface and the computed interface was within about ±2 pct. Reference data for the temperature dependence of the longitudinal velocity for solid 1100 aluminum are included.
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Mauer, F.A., Norton, S.J., Grinberg, Y. et al. An ultrasonic method for reconstructing the two-dimensional liquid-solid interface in solidifying bodies. Metall Trans B 22, 467–473 (1991). https://doi.org/10.1007/BF02654284
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DOI: https://doi.org/10.1007/BF02654284