Year: 2022
Author: Boris P. Belinskiy, John R. Graef, Lingju Kong
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 1 : pp. 103–113
Abstract
A fin is traditionally thought of as an extension of a surface to facilitate the transfer of heat away from a larger body to which it is attached. In this paper, the authors study some mathematical properties of a nonlinear heat transfer model for a fin and its relation to an associated linear model. Specifically, they prove that the solution exists and is unique, and they determine bounds for the temperature. Further, they prove the monotonicity of the temperature distribution, and they obtain an estimate for the maximal difference between the temperatures as determined by the nonlinear and linear models.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2022.103
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 1 : pp. 103–113
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Heat transfer Fin Stefan-Boltzmann law Existence and uniqueness Dependence.