A phenomenon of waiting time in phase change problems driven by radiative heat transfer | Zendy

Fasano A. | Zendy; Mancini A. | Zendy

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A phenomenon of waiting time in phase change problems driven by radiative heat transfer

Author(s) -

Fasano A.,

Mancini A.

Publication year - 2009

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1081

Subject(s) - heat transfer , phenomenon , phase change , process (computing) , thermodynamics , thermal radiation , phase (matter) , radiative transfer , interval (graph theory) , mechanics , mathematics , stefan problem , mass transfer , thermal , thermal contact , phase transition , boundary (topology) , computer science , physics , mathematical analysis , optics , quantum mechanics , operating system , combinatorics

In the paper ( J. Food Process Eng. 2008; in press) we emphasized that during a phase change process in which the heat input is driven by a radiation transfer mechanism, a peculiar phenomenon may occur, characterized by a temporary stop of the increase of the boundary temperature due to a sudden change of the heat transfer coefficient upon phase transition. This time interval is needed to allow the thermal properties of the surface to evolve toward a state that is compatible with the heat intake rate corresponding to the new phase. The occurrence of the waiting time is motivated and studied for a general one‐dimensional Stefan problem. Then an application is presented to the much complicated problem considered in ( J. Food Process Eng. 2008; in press), namely, the model for frying process. Copyright © 2008 John Wiley & Sons, Ltd.

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