THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

Zhijuan Jia

,

Mingsheng Hu

,

Qiao-Ling Chen

VARIATIONAL PRINCIPLE FOR UNSTEADY HEAT CONDUCTION EQUATION

ABSTRACT
The semi-inverse method is used to establish a variational principle for an unsteady heat conduction equation.
KEYWORDS
variational principle, heat conduction, semi-inverse method
PAPER SUBMITTED: 2014-01-08
PAPER REVISED: 2014-01-13
PAPER ACCEPTED: 2014-02-27
PUBLISHED ONLINE: 2014-03-08
DOI REFERENCE: https://doi.org/10.2298/TSCI140108027J
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2014, VOLUME 18, ISSUE Issue 3, PAGES [1045 - 1047]
REFERENCES
  1. He, J. H., Lee, E.W.M., A constrained variational principle for heat conduction, Physics Letters A, 373(2009), 31, pp. 2614-2615.
  2. Tao, Z. L., Chen, G. H., Remark on a constrained variational principle for heat conduction, Thermal Science, 17(2013), 3, pp. 951-952.
  3. Fei, D.-D., et al., A Short Remark on He-Lee's Variational Principle for Heat Conduction, Thermal Science, 17 (2013), 5, pp. 1561-1563
  4. Li, X.W., et al., On the semi-inverse method and variational principle, Thermal Science, 17 (2013), 5, pp. 1565-1568
  5. He, J.H., Mo, L.F., Variational approach to the finned tube heat exchanger used in hydride hydrogen storage system, International Journal of Hydrogen Energy, 38(2013), 36, pp. 16177-16178
  6. Liu, G.L., Exact Variational Principle For 3-D Unsteady Heat Conduction With Second Sound, Journal of Thermal Science, 15, No.4 361-363
  7. He, J.H., Semi-inverse 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
  8. He, J.H. Variational principles for some nonlinear partial differential equations with variable coefficients, Chaos, Solitons & Fractals, 19(2004), 4, pp. 847-851
  9. He, J.H., Asymptotic Methods for Solitary Solutions and Compactons, Abstract and Applied Analysis, 2012, 916793
  10. He, J.H., Some asymptotic methods for strongly nonlinear equations, Int. J. Mod. Phys. B, 20(2006), 10, pp.1141-1199
  11. He, J.H., An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering, Int. J. Mod. Phys. B, 22(2008), 21, pp.3487-3578
PDF VERSION [DOWNLOAD]
Variational principle for unsteady heat conduction equation

© 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