THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

Xue-Wei Li

,

Ya Li

,

Ji-Huan He

ON THE SEMI-INVERSE METHOD AND VARIATIONAL PRINCIPLE

ABSTRACT
In this Open Forum, Liu et al. proved the equivalence between He-Lee 2009 variational principle and that by Tao and Chen (Tao, Z. L., Chen, G. H., Thermal Science, 17(2013), pp. 951-952) for one dimensional heat conduction. We confirm the correction of Liu et al.’s proof, and give a short remark on the history of the semi-inverse method for establishment of a generalized variational principle.
KEYWORDS
variational principle, heat conduction, semi-inverse method, Lagrange multiplier, parameterized variational principle
PAPER SUBMITTED: 2013-11-26
PAPER REVISED: 2013-11-30
PAPER ACCEPTED: 2013-12-13
PUBLISHED ONLINE: 2013-12-28
DOI REFERENCE: https://doi.org/10.2298/TSCI1305565L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2013, VOLUME 17, ISSUE Issue 5, PAGES [1565 - 1568]
REFERENCES
  1. 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
  2. He, J.-H., Lee, E. W. M., A Constrained Variational Principle for Heat Conduction, Physics Letters A, 373 (2009), 31, pp. 2614-2615
  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. 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
  5. He, J.-H., Asymptotic Methods for Solitary Solutions and Compactons, Abstract and Applied Analysis, 2012, 916793
  6. He, J.-H., Some Asymptotic Methods for Strongly Nonlinear Equations, Int. J. Mod. Phys. B, 20 (2006), 10, pp. 1141-1199
  7. He, J.-H., An Elementary Introduction to Recently Developed Asymptotic Methods and Nanomechanics in Textile Engineering, International Journal of Modern Physics B, 22 (2008), 21, pp. 3487-3578
  8. 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
  9. Qin, S. T., Ge, Y., A Novel Approach to Markowitz Portfolio Model without Using Lagrange Multipliers, International Journal of Nonlinear Sciences and Numerical Simulation, 11 (2010), S, pp. 331-334
PDF VERSION [DOWNLOAD]
On the semi-inverse method and variational principle

© 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