THERMAL SCIENCE

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Hong-Yan Liu

,

Juan-Fen Jiang

CONSTRUCTION OF A VARIATIONAL FORMULATION FOR HEAT TRANSFER

ABSTRACT
This paper gives two useful methods to construct a variational formulation for heat transfer. Xu's variational principle for heat transfer in terms of entransy is used as an example to elucidate how to correct a wrong variational formulation, and the semi-inverse method is adopted to establish a needed variational principle.
KEYWORDS
variational principle, Euler-Lagrange equation, semi-inverse method
PAPER SUBMITTED: 2015-12-12
PAPER REVISED: 2016-04-05
PAPER ACCEPTED: 2016-06-12
PUBLISHED ONLINE: 2016-08-13
DOI REFERENCE: https://doi.org/10.2298/TSCI1603889L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Issue 3, PAGES [889 - 892]
REFERENCES
  1. Xu, M., Variational Principles in Terms of Entransy for Heat Transfer, Energy, 44 (2012), 1, pp. 973-977
  2. He, J.-H., Semi-In verse Method of Establishing Generalized Variational Principles for Fluid Mechanics with Emphasis on Turbomachinery Aerodynamics, International Journal of Turbo & Jet-Engines, 14 (1997), 1, pp. 23-28
  3. Tao, Z. L., Chen, G. H., Remark on a Constrained Variational Principle for Heat Conduction, Thermal Science, 17 (2013), 3, pp. 951-952
  4. Li, X. W., et al., On the Semi-Inverse Method and Variational Principle, Thermal Science, 17 (2013), 5, pp. 1565-1568
  5. Liu, H. Y., et al., A Short Remark on Stewart 1962, Variational Principle for Laminar Flow in a Uniform Duct, Thermal Science, 20 (2016), 1, pp. 359-361
  6. Jia, Z. J., et al. Variational Principle for Unsteady Heat Conduction Equation, Thermal Science, 18 (2014), 3, pp. 1045-1047
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Construction of a variational formulation for heat transfer

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence