Skip to main content
SpringerLink
Log in

Note on flow instability in heated ducts

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

Zusammenfassung

Das Problem der Stabilität der Strömung durch beheizte horizontale Kanäle gegen zweidimensionale Störungen wird in linearisierter Form als Variationsaufgabe behandelt. Die Abhängigkeit der Stabilitätsparameter von der Gestalt des Kanals wird untersucht und verglichen mit dem Fall der Stabilität der von unten beheizten Flüssigkeitsschicht.

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

References

  1. Apostol, T.,Mathematical Analysis (Addison-Wesley Publ. Co., Mass., 1958).

    Google Scholar 

  2. Chandrasekhar, S.,Hydrodynamic and Hydromagnetic Stability (Clarendon Press, Oxford, 1961).

    Google Scholar 

  3. Courant, R. andD. Hilbert,Methods of Mathematical Physics (John Wiley and Sons, N. Y., 1962).

    Google Scholar 

  4. Dahler, J. andL. E. Scriven, Proc. Roy. Soc. (in press 1963).

  5. Nirenberg, L., Comm. Pure Appl. Math.8, 648–74 (1955).

    Google Scholar 

  6. Payne, L. E. andH. F. Weinberger, Arch. Rat'l Mech. Anal.5, 286–92 (1960).

    Google Scholar 

  7. Riesz, F. andB. Sz. Nagy,Functional Analysis (Fred Ungar Pub. Co., N. Y., 1955).

    Google Scholar 

  8. Sani, R. L., Ph. D., Thesis, Department of Chemical Engineering University of Minnesota (1963).

  9. Sani, R. L. andL. E. Scriven, to be published 1963.

  10. Velte, W., ZAMP13, 591–600 (1962).

    Google Scholar 

  11. Weyl, H., Math. Ann.71, 441–79 (1912).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dpt. of Mathematics, Rensselaer Polytechnic Institute, Troy, N.Y., USA

    Robert Sani

  2. Dept. of Chemical Eng., University of Illinois, Urbana, Ill

    Robert Sani

Authors
  1. Robert Sani
    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

Sani, R. Note on flow instability in heated ducts. Journal of Applied Mathematics and Physics (ZAMP) 15, 381–387 (1964). https://doi.org/10.1007/BF01601289

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01601289

Keywords

Search

Navigation