Skip to main content
SpringerLink
Log in

The application of the boundary element method to the magnetohydrodynamic duct flow

  • Original Papers
  • Published:
Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Abstract

A boundary element method is developed in order to investigate the flow of viscous, incompressible, electrically conducting fluids in cylindrical ducts having arbitrary cross-sections. The numerical results obtained for the circular duct with insulating wall are very close to the results obtained by means of analytical formulas.

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. Ch. C. Chang and Th. S. Lundgren,Duct flow in magneto-hydrodynamics, ZAMP,12, 100 (1961).

    Google Scholar 

  2. G. A. Greenberg,Steady flow of a conducting fluid in a rectangular duct with two non-conducting and two conducting walls parallel to the external magnetic field, Prikl. Mat. Mech.,25, 1024 (1961);26, 80 (1962).

    Google Scholar 

  3. I. Sadatoshi, T. Kiyohiro and M. Akira,The flow of conducting fluids in circular pipes with finite conductivity under uniform transverse magnetic fields, Trans. ASME; J. App. Mech.,E89, No. 1, 29–36 (1967).

    Google Scholar 

  4. D. M. Sloan,Extremum principles for magnetohydrodynamic channel flow, ZAMP,24, 689–698 (1973).

    Google Scholar 

  5. K. E. Barret,Minimax principle for magnetohydrodynamic channel flow, ZAMP,37, 613–619 (1976).

    Google Scholar 

  6. G. Marinoschi,Minimax principle for an electrically conducting fluid flow along a channel (in Romanian), St. Cerc. Mat.,34 (2), 147–155 (1982).

    Google Scholar 

  7. S. T. Wu,Unsteady MHD duct flow by the finite element method, Int. J. Num. Meth. Eng.,6, 3 (1973).

    Google Scholar 

  8. L. Drago§,Magnetofluid Dynamics, Ed. Academiei, Bucharest, Abacus Press, Tunbridge Wells, Kent 1975.

    Google Scholar 

  9. I. A. Shercliff,A Textbook of Magnetohydrodynamics, Pergamon Press, Oxford 1965.

    Google Scholar 

  10. V. S. Vladimirov,Equations of Mathematical Physics (in Russian), Nauka, Moscow 1976

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Mathematics, University of Bucharest, R 70109, Bucharest, Romania

    Adrian Carabineanu, Adrian Dinu & Iuliana Oprea

Authors
  1. Adrian Carabineanu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Adrian Dinu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Iuliana Oprea
    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

Carabineanu, A., Dinu, A. & Oprea, I. The application of the boundary element method to the magnetohydrodynamic duct flow. Z. angew. Math. Phys. 46, 971–981 (1995). https://doi.org/10.1007/BF00917881

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00917881

Keywords

Search

Navigation