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A generalized relation between the local values of temperature and the corresponding heat flux in a one-dimensional semi-infinite domain with the moving boundary.

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A generalized relation between the local values of temperature and the corresponding heat flux in a one-dimensional semi-infinite domain with the moving boundary.

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Title: A generalized relation between the local values of temperature and the corresponding heat flux in a one-dimensional semi-infinite domain with the moving boundary.
Author: Kulish, Vladimir.; Poletkin, Kirill V.
Copyright year: 2012
Abstract: The paper presents generalized relation between the local values of temperature and the corresponding heat flux in a onedimensional semi-infinite domain with the moving boundary. The generalized relation between the local values of temperature and the corresponding heat flux has been achieved by the use of a novel technique that involves generalized derivatives (in particular, derivatives of non-integer orders). Confluent hyper-geometric functions, known as Whittaker’s functions, appear in the course of the solution procedure, upon applying the Laplace transform to the original transport equation. The relation is written in the integral form and provides a relationship between the local values of the temperature and heat flux.
Subject: DRNTU::Science::Mathematics::Analytic mechanics.DRNTU::Engineering::Mechanical engineering.
Type: Journal Article
Series/ Journal Title: International journal of heat and mass transfer
School: School of Mechanical and Aerospace Engineering
Rights: © 2012 Elsevier Ltd. This is the author created version of a work that has been peer reviewed and accepted for publication by International journal of heat and mass transfer, Elsevier Ltd. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: http://dx.doi.org/10.1016/j.ijheatmasstransfer.2012.06.067.
Version: Accepted version

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