Skip to main content
Log in

Hyperbolic equation of thermal conductivity. Solution of the direct and inverse problems for a semiinfinite bar

  • Published:
Journal of engineering physics Aims and scope

Abstract

The first and second boundary-value problems as well as the linear boundary-value inverse heat-conduction problem with fixed heat collector and boundary have been solved. Account of the finite heat-propagation velocity increases the boundary-value inverse heat-conduction problem stability.

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.

Similar content being viewed by others

Literature cited

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

  2. L. D. Kalinnikov and N. V. Shumakov, Teplofiz. Vys. Temp.,9, No. 4 (1971).

  3. V. I. Zhuk and A. S. Golosov, Inzh.-Fiz. Zh.,29, No. 1 (1975).

  4. A. G. Temkin, Inverse Methods of Thermal Conductivity [in Russian], Énergiya, Moscow (1973).

    Google Scholar 

  5. O. M. Alifanov, Inzh. Fiz. Zh.,29, No. 1 (1975).

  6. O. M. Alifanov, Inzh.-Fiz. Zh.,25, No. 3 (1973).

  7. A. N. Tikhonov and V. Ya. Arsenin, Solutions of Ill-Posed Problems, Halsted Press (1977).

  8. O. M. Alifanov, Inzh.-Fiz. Zh.,24, No. 2 (1973).

  9. A. V. Lykov, Analytical Heat Diffusion Theory, Academic Press, New York (1968).

    Google Scholar 

  10. K. J. Baumeister and T. D. Hamill, Trans. Am. Soc. Mech. Eng., Ser. C,91, No. 4 (1969).

  11. G. Doetsch, Guide to the Application of the Laplace and Three Transforms, Van Nostrand Reinhold (1971).

    Google Scholar 

  12. H. Bateman and A. Erdelyi, Tables of Inregular Transforms, Vol. 1, McGraw-Hill, New York (1954).

    Google Scholar 

  13. S. G. Mikhlin and Kh. L. Smolitskii, Approximate Methods for Solution of Differential and Integral Equations, Am. Elsevier, New York (1967).

    Google Scholar 

  14. V. I. Krylov, V. V. Bobkov, and P. I. Monastyrskii, Calculation Methods [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  15. J. H. Ahlberg, E. N. Nilson, and J. L. Walsh, The Theory of Splines and Their Applications, Academic Press, New York (1967).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 35, No. 4, pp. 734–740, October, 1978.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Novikov, N.A. Hyperbolic equation of thermal conductivity. Solution of the direct and inverse problems for a semiinfinite bar. Journal of Engineering Physics 35, 1253–1257 (1978). https://doi.org/10.1007/BF00860398

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00860398

Keywords

Navigation