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A SHORT REMARK ON STEWART 1962 VARIATIONAL PRINCIPLE FOR LAMINAR FLOW IN A UNIFORM DUCT

ABSTRACT
This paper concludes that Stewart 1962 variational principle for laminar flow in a uniform duct is for a differential-difference. Some generalized variational principles are elucidated with or without Stewart’s discrete treatment.
KEYWORDS
PAPER SUBMITTED: 2014-03-21
PAPER REVISED: 2014-05-13
PAPER ACCEPTED: 2014-05-13
PUBLISHED ONLINE: 2014-06-15
DOI REFERENCE: https://doi.org/10.2298/TSCI140321063L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Issue 1, PAGES [359 - 361]
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. Li, X.W., et al., On the Semi-inverse Method and Variational Principle, Thermal Science, 17 (2013), 5, pp. 1565-1568
  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 and Jet Engines, 14 (1997), pp. 23-28.
  5. Stewart, W.E. Application of Reciprocal Variational Principles to Laminar Flow in Uniform Ducts, AICHE J.,8(1962), 3, pp.425-428
  6. He, J.H., Lee, E.W.M. Variational Principle for the Differential-difference SystemArising in Stratified Hydrostatic Flows, Physics Letters A, 373(2009), 18-19, pp.1644-1645
  7. He, J.H., Variational Principles for Some Nonlinear Partial Differential Equations with Variable Coefficients, Chaos Solitons & Fractals, 19(2004), pp. 847-851
  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), pp.16177-16178
  9. He, J. H., Lee, E.W.M., A Constrained Variational Principle for Heat Conduction, Physics Letters A, 373(2009), 31, pp. 2614-2615.

© 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