Abstract. The present work deals with the cooling of a flat plate having an initial non-homogeneous temperature distribution, which undergoes a sudden temperature drop at its surfaces. Hence, starting from an arbitrary steady-state temperature distribution, the two surfaces of the slab are suddenly cooled down to the value 0, resulting in a strong perturbation of the initial temperature distribution. A general analytical solution is provided by adopting the variable separation technique to the Fourier equation in transient conditions, thus obtaining a general solution in terms of a very fast converging series, which includes a definite integral of the initial steady-state distribution. Common engineering applications are investigated and the related results, obtained thanks to an extremely low computational effort, are presented and discussed.
|Titolo:||An analytical approach to the cooling of a flat plate|
PAGLIARINI, LUCA [Membro del Collaboration Group] (Corresponding)
SPIGA, Marco [Membro del Collaboration Group] (Corresponding)
VOCALE, Pamela [Membro del Collaboration Group] (Corresponding)
|Data di pubblicazione:||2020|
|Appare nelle tipologie:||4.1a Atto convegno Rivista|