Skip to main content
Log in

Solution of the problem of optimal control for heating of a one-dimensional plate and its asymptotic behavior

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. A. Bejan, “The optimal spacing for cylinders in crossflow forced convection,”ASME J., Heat Transfer. 117, 767–770 (1995).

    Google Scholar 

  2. A. M. Morega, J. V. C. Vargas, and A. Bejan, “Optimization of pulsating heaters in forced convection,”Int. J. Heat Mass Transfer,38, 2925–2934 (1995).

    Article  MATH  Google Scholar 

  3. A. Bejan, J. V. C. Vargas, and M. Sokolov, “Optimal allocation of a heat-exchanger inventory in heat driven refrigerators,”ibid.,.

    Article  Google Scholar 

  4. A. Bejan and A. M. Morega, “The optimal spacing of a stack of plates cooled by turbulent forced convection,”Int. J. Heat Mass Transfer,37, 1045–1048, (1994).

    Article  Google Scholar 

  5. A. Bejan, “How to distribute a finite amount of insulation on a wall with nonuniform temperature,”Int. J. Heat Mass Transfer,36, 49–56 (1993).

    Article  Google Scholar 

  6. S. Mereu, E. Sciubba, and A. Bejan, “The optimal cooling of a stack of heat generating boards with fixed pressure drop, flow rate or pumping power,”ibid.,, pp. 3677–3686.

    Article  Google Scholar 

  7. H. S. Carslaw and J. C. Jaeger,Conduction of Heat in Solids, Oxford Univ. Press, London (1959).

    Google Scholar 

  8. L. S. Pontryagin, V. G. Bolt'yanskii, R. V. Gamkrelidze, and E. F. Mishchenko,Matheamtical Theory of Optimal Processes, Interscience, New York (1962).

    Google Scholar 

  9. V. G. Bolt'yanskii,Mathematical Methods of Optimal Control [in Russian], Nauka, Moscow (1969).

    MATH  Google Scholar 

  10. A. D. Ioffe and V. M. Tikhomirov,Theory of Extremum Problems [in Russian], Nauka, Moscow (1974).

    Google Scholar 

Download references

Authors

Additional information

Vienna Technical University, Vienna A-1040, Austria. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 38, No. 3, pp. 106–111, May–June, 1997.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuznetsov, A.V. Solution of the problem of optimal control for heating of a one-dimensional plate and its asymptotic behavior. J Appl Mech Tech Phys 38, 423–427 (1997). https://doi.org/10.1007/BF02467844

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02467844

Keywords

Navigation