Advertisement

Variational solution of heat convection in the channel flow with the help of GPDP

  • P. Singh
  • K. K. Srivastava
Article

Abstract

The Governing Principle of Dissipative Processes is applied to study the temperature distribution in the fluid flow inside two parallel semi-infinite plates. It is found that the flux representation of the principle yields exactly the same result as obtained with the help of Lagrangian thermodynamics ofBiot. The results obtained in the present analysis compare well with the exact ones.

Keywords

Heat Convection Entropy Production Variational Solution Slug Flow Dissipation Potential 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    I. Gyarmati, Ann. Phys.,23, 353, 1969.CrossRefGoogle Scholar
  2. 2.
    I. Gyarmati, Non-equilibrium Thermodynamics, Springer, Berlin, 1970.Google Scholar
  3. 3.
    L. Onsager, Phys. Rev.,37, 405, 1931:37, 2265, 1931.MATHCrossRefADSGoogle Scholar
  4. 4.
    P. Glansdorff andI. Prigogine, Thermodynamic Theory of Structure, Stability and Fluctuations, Wiley Interscience, New York, 1971.MATHGoogle Scholar
  5. 5.
    P. Singh, Int. J. Heat Mass Transfer,19, 581, 1976.MATHCrossRefADSGoogle Scholar
  6. 6.
    P. Singh, J. Non-Equilib. Thermodyn.,1, 105, 1976.CrossRefGoogle Scholar
  7. 7.
    P. Singh, Acta Phys. Hung.,43, 59, 1977.CrossRefGoogle Scholar
  8. 8.
    P. Singh, Acta Mech.30, 137, 1978.MATHCrossRefADSGoogle Scholar
  9. 9.
    P. Singh, Acta Phys.,43, 133, 1977.ADSGoogle Scholar
  10. 10.
    S. D. Nigam andH. C. Agarwal, J. Math. and Mech.,9, 689, 1960.Google Scholar
  11. 11.
    M. A. Biot, Variational Principle in Heat Transfer, Oxford, 1970.Google Scholar
  12. 12.
    P. J. Schneider, Trans. A. S. M. E.,79, 765, 1957.Google Scholar
  13. 13.
    K. Millsapes andK. Pohlhausen, Proceedings of the Conference on Differential Equations, University of Maryland, 271, 1956.Google Scholar
  14. 14.
    S. N. Singh, Appl. Sci. Res.,A7, 325, 1958.MATHMathSciNetGoogle Scholar
  15. 15.
    V. D. Does andJ. Schenk, Appl. Sci. Res.,3, 308, 1953.Google Scholar

Copyright information

© with the authors 1978

Authors and Affiliations

  • P. Singh
    • 1
  • K. K. Srivastava
    • 1
  1. 1.Department of MathematicsIndian Institute of TechnologyKanpurIndia

Personalised recommendations