A MATHEMATICAL MODEL FOR SPAGHETTI COOKING WITH FREE BOUNDARIES

作者:Fasano Antonio*; Primicerio Mario; Tesi Andrea
来源:Networks and Heterogeneous Media, 2011, 6(1): 37-60.
DOI:10.3934/nhm.2011.6.37

摘要

We propose a mathematical model for the process of dry pasta cooking with specific reference to spaghetti. Pasta cooking is a two-stage process: water penetration followed by starch gelatinization. Differently from the approach adopted so far in the technical literature, our model includes free boundaries: the water penetration front and the gelatinization onset front representing a fast stage of the corresponding process. Behind the respective fronts water sorption and gelatinization proceed according to some kinetics. The outer boundary is also moving and unknown as a consequence of swelling. Existence and uniqueness are proved and numerical simulations are presented.

  • 出版日期2011-3