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On the identification of a thermal expansion coefficient

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Infante del Río, Juan Antonio and Molina Rodríguez, M. and Ramos del Olmo, Ángel Manuel (2015) On the identification of a thermal expansion coefficient. Inverse Problems in Science and Engineering . ISSN 1741-5977 (In Press)

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Official URL: http://www.tandfonline.com/doi/pdf/10.1080/17415977.2015.1032274


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Abstract

In this paper, we identify a time-dependent thermal expansion function when some information about the temperature is known. This inverse problem is motivated by models that arise in food engineering. In particular, the model studied here describes high-pressure processes and it is governed by the heat equation with Robin boundary conditions in a cylindrical spatial domain. We study the inverse problem, proving a uniqueness result and obtaining a numerical scheme to compute the thermal expansion function. Several numerical examples are shown.


Item Type:Article
Uncontrolled Keywords:thermal expansion coefficient; food engineering; heat transfer; robin boundary conditions; inverse problem; uniqueness; function identification
Subjects:Sciences > Mathematics
ID Code:30052
Deposited On:12 May 2015 09:08
Last Modified:12 Dec 2018 15:06

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