Skip to main content
Log in

Analysis of inverse heat-conduction problems by means of similarity solutions

  • Published:
Journal of engineering physics Aims and scope

Abstract

Similarity solutions are given for a linear heat-conduction equation for a wide class of boundary conditions. The solutions are used for analyzing inverse problems that are applied to the determination of external heating conditions.

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.

Institutional subscriptions

Similar content being viewed by others

Literature cited

  1. G. T. Aldoshin, A. S. Golosov, and V. I. Zhuk, in: Heat and Mass Transfer [in Russian], Vol. 8, Minsk (1968).

  2. A. Temkin, Inverse Methods of Heat Conduction [in Russian], Énergiya, Moscow (1973).

    Google Scholar 

  3. R. C. Pfahl and J. Mitchel, AIAA J.,8, No. 6 (1969).

  4. A. V. Lykov, Theory of Heat Conduction [in Russian], Vysshaya Shkola, Moscow (1967).

    Google Scholar 

  5. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, Clarendon Press, Oxford (1959).

    Google Scholar 

  6. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics, Pergamon Press, New York (1963).

    Google Scholar 

  7. Yu. A. Dem'yanov and K. G. Omel'chenko, Zh. Prikl. Mekh. Tekh. Fiz., No. 3 (1961).

  8. K. G. Omel'chenko, Izv. Akad. Nauk SSSR, Énergetika i Transport, No. 2 (1964).

  9. V. M. Yudin, in: Proceedings of the N. E. Zhukovskii Central Aero-Hydrodynamics Institute (TsAG) [in Russian], No. 1267 (1970).

  10. N. V. Shumakov, Zh. Tekh. Fiz.,27, No. 4 (1957).

Download references

Authors

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 29, No. 1, pp. 63–66, July, 1975.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Omel'chenko, K.G., Volodina, M.V. Analysis of inverse heat-conduction problems by means of similarity solutions. Journal of Engineering Physics 29, 860–862 (1975). https://doi.org/10.1007/BF00860625

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00860625

Keywords

Navigation