Skip to main content
SpringerLink
Log in

Use of a variational method to solve a heat conduction problem with internal heat sources

  • Published:
Journal of engineering physics Aims and scope

Abstract

An examination is made of Kantorovich' s variational method for analytical solution of steady heat conduction problems with internal heat sources having a two-dimensional distribution law. A method is described for choosing coordinate functions which satisfy the assigned boundary condition. Dimensionless coefficients of the system of Euler equations are introduced.

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. S. G. Mikhlin, Variational Methods in Mathematical Physics [in Russian], GITTL, 1957.

  2. L. E. El'sgol'ts, Variational Calculus [in Russian], GITTL, 1958.

  3. L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], FM, 1962.

Download references

Author information

Authors and Affiliations

  1. Central Planning and Design Office of the “Soyuzlift” Trust, Moscow

    A. M. Fain

Authors
  1. A. M. Fain
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fain, A.M. Use of a variational method to solve a heat conduction problem with internal heat sources. Journal of Engineering Physics 10, 397–400 (1966). https://doi.org/10.1007/BF00827970

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00827970

Keywords

Search

Navigation