Título del libro: Asme International Mechanical Engineering Congress And Exposition, Proceedings (imece)
Título del capítulo: The influence of a harmonic motion on a melting process with natural convection
RUBEN AVILA RODRIGUEZ; EDUARDO RAMOS MORA;
Autores externos:
Idioma:
Inglés
Año de publicación:
2013
Palabras clave:
Interfaces (materials); Mechanical engineering; Metal melting; Molten materials; Newtonian flow; Nusselt number; Specific heat; Angular frequencies; Governing equations; Heat transfer rate; Phase change process; Solid-Liquid system; Spectral element method; Stefan condition; Thermal convections; Natural convection
Resumen:
We study the heat transfer rate in an oscillatory, two dimensional solid-liquid system which is melted from below. As the phase change process takes place, the height of the fluid layer in the lower part of the cavity is continuously enlarged. The influence of the angular frequency of the motion (Taylor number) and the melting rate (Stefan number) on: (i) the heat transfer in the liquid (Nusselt number), (ii) the temperature field and (iii) the shape of the interface, is analyzed. The governing equations together with the Stefan condition at the interface are solved by using a spectral element method. It is observed that as the height of the liquid layer increases, a non-steady unicellular flow appears, and it leads to an oscillatory behaviour of the Nusselt number. As the height of the liquid layer increases further, the onset of the thermal convection and its instabilities modify the shape of the interface, and the heat transfer rate in the molten material. We find that (i) for large Stefan numbers, the heat is transported mostly along the inclined walls, while for low Stefan numbers, a Rayleigh-B´enard type convection is dominant, and (ii) for large Taylor numbers, the motion induced by the oscillation is small, resulting in a Nusselt number that decreases monotonously as a function of time, in contrast, for small Taylor numbers, an oscillatory Nusselt number is displayed. Copyright © 2013 by ASME.
Entidades citadas de la UNAM:
ISBN:
9780791856352
Editorial:
American Society of Mechanical Engineers (ASME)
