Solidification of A Flowing Liquid Inside a Pipe Subject to Radiation and Convection
Heat transfer with solidification of liquid involving initial superheat temperature and forced convection at the interface has significant applications in the thin-walled casting process. Recently, the concept of using a thin solidified layer of liquid metal inside a pipe to prevent contamination or reactions between the melting and the container material has attracted considerable attention in material processing. However, the maintenance of the solidified layer inside a pipe is difficult to achieve. As pointed out by Wang and Perry (1988), since the associated phase-change problem involves complete interaction between the material properties, the pipe sizes, and the processing conditions, the process window is extremely difficult to define without a systematic scheme to quantify the parametric relationships. These authors presented a mathematical model for understanding the parametric relationship in forming a stable solidified layer and identifying the criterion for process control. However, their model does not involve thermal radiation and leads to the conclusion that a stable solidified layer can never be formed if the Riot number based on the inner pipe radius is less than the unity. Furthermore, the authors have not given any justification for assumed first-order logarithmic temperature profile in their analysis.
Journal of Heat Transfer
Chung, Benjamin T.F.; Gulati, S.; and Dalmia, A. K., "Solidification of A Flowing Liquid Inside a Pipe Subject to Radiation and Convection" (1993). Mechanical Engineering Faculty Research. 1094.