Relevant mathematical model formulations and finite element developments for the modeling and simulation of single/multiple phase change situations influenced with or without convection effects are described. The notion of enthalpy is first introduced, and both the temperature field and the enthalpy field variables are interpolated upon in the formulations presented. The governing thermal transport equations for the transient flow/thermal behavior with phase change then follow. To effectively distinguish the solid and liquid regions, the viscosity in the freezing or the mushy zone is given special treatment. Illustrative applications are then examined for the influence of heat conduction effects in melting/freezing with multiple phase fronts, the freezing process of aluminum in a rectangular enclosure when influenced by convection effects, and the freezing/melting process of aluminum in a rectangular cavity with multiple phase fronts as influenced by convection effects. The results of these test examples show interesting behavior for the thermal behavior and the phase front interactions. (AIAA).
|Original language||English (US)|
|State||Published - 1997|
|Event||35th Aerospace Sciences Meeting and Exhibit, 1997 - Reno, United States|
Duration: Jan 6 1997 → Jan 9 1997
|Other||35th Aerospace Sciences Meeting and Exhibit, 1997|
|Period||1/6/97 → 1/9/97|
Bibliographical noteFunding Information:
The authors are pleased to acknowledge support in part by the U.S. Army Research Office(ARO), Research Triangle Park, North Carolina, under grant number DAAH04-96-1-0172. Dr Bruce Henriksen is the technical monitor. Special thanks are also due to the ASHPC Directorate and the Materials Directorate at the U.S. Army Research Laboratory, Aberdeen Proving Grounds, Md. Other related support from the Minnesota Supercomputer Institute(MSI), Minneapolis, Minnesota is gratefully acknowledged.