Skip to main content
SpringerLink
Log in

Hyperbolic heat conduction in two semi-infinite bodies in contact

  • Published:
Applications of Mathematics Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

We find, under the viewpoint of the hyperbolic model of heat conduction, the exact analytical solution for the temperature distribution in all points of two semi-infinite homogeneous isotropic bodies that initially are at uniform temperatures T 10 and T 20 , respectively, suddenly placed together at time t = 0 and assuming that the contact between the bodies is perfect. We make graphics of the obtained temperature profiles of two bodies at different times and points. And finally, we compare the temperature solution obtained from hyperbolic model to the parabolic or classical solution, for the same problem of heat conduction.

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

Access this article

Log in via an institution

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

References

  1. J. K. Baumeister T. D. Hamill (1969) ArticleTitleHyperbolic heat-conduction equation—a solution for the semi-infinite body problem Journal of Heat Transfer, Ser. C 91 543–548

    Google Scholar 

  2. H. S. Carslaw J. C. Jaeger (1990) Conduction of Heat in Solids Oxford Science Publications. Clarendon Press Oxford

    Google Scholar 

  3. D. S. Chandrasekharaiah (1986) ArticleTitleThermoelasticity with a second sound A review. Appl. Mech. Rev. 39 355–376 Occurrence Handle0588.73006 Occurrence Handle10.1115/1.3143705

    Article  MATH  Google Scholar 

  4. M. S. Kazimi C. A. Erdman (1975) ArticleTitleOn the interface temperature of two suddenly contacting materials Journal of Heat Transfer, Ser. C 97 615–617

    Google Scholar 

  5. M. Lavrentiev E. T. Chabat (1977) Mèthodes de la thèorie des fonctions d’une variable complexe Mir Moscow

    Google Scholar 

  6. M. N. Özisik D. Y. Tzou (1994) ArticleTitleOn the wave theory in heat conduction Journal of Heat Transfer 116 526–535 Occurrence Handle10.1115/1.2910903

    Article  Google Scholar 

  7. D. C. Wiggert (1977) ArticleTitleAnalysis of early-time transient heat conduction by method of characteristics Journal of Heat Transfer 99 35–40

    Google Scholar 

  8. R. C. Xin W. Q. Tao (1994) ArticleTitleAnalytical solution for transient heat conduction in two semi-infinite bodies in contact Journal of Heat Transfer 116 224–228 Occurrence Handle10.1115/1.2910860

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. E. T. S. Ingenieros Agrónomos, Camino de Vera s.n., 46072, Valencia, Spain

    Juan Antonio López Molina & Macarena Trujuillo Guillén

Authors
  1. Juan Antonio López Molina
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Macarena Trujuillo Guillén
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work was partially supported by MEC and FEDER, project MTM-2004-02262 and AVCIT group 03/050.

Rights and permissions

Reprints and permissions

About this article

Cite this article

López Molina, J.A., Trujuillo Guillén, M. Hyperbolic heat conduction in two semi-infinite bodies in contact. Appl Math 50, 27–42 (2005). https://doi.org/10.1007/s10492-005-0002-6

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10492-005-0002-6

Keywords

MSC 2000

Search

Navigation