A SHORT REMARK ON STEWART 1962 VARIATIONAL PRINCIPLE FOR LAMINAR FLOWIN 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.

Dates

  • Submission Date2014-03-21
  • Revision Date2014-05-13
  • Acceptance Date2014-05-13
  • Online Date2014-06-15

DOI Reference

10.2298/TSCI140321063L

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.