Skip to main content
SpringerLink
Log in

Unsteady heat transfer from a circular cylinder in a low Reynolds number flow

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

Abstract

This paper examines the temperature distribution in a low Reynolds number flow past a circular cylinder following a sudden change in the temperature of the cylinder. Solutions describing the initial development of the temperature field and the final approach to the eventual steady state are obtained. Expressions for the Nusselt number for small and large values of time are determined.

Zusammenfassung

In dieser Arbeit wird die Temperaturverteilung an einem Kreiszylinder bei einer Umströmung mit niedriger Reynoldszahl untersucht, für den Fall einer plötzlichen Aenderung der Zylinder-Temperatur. Es werden Lösungen für das Temperaturfeld gefunden sowohl für den instationären Anlaufvorgang als auch für die Annäherung an den stationären Endzustand. Ausdrücke für die Nusseltzahl in Abhängigkeit von der Zeit werden für beide Fälle angegeben.

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. D.R. Kassoy, Phys. Fluids10, 938 (1967).

    Google Scholar 

  2. C.A. Hieber andB. Gebhart, J. Fluid Mech.32, 21 (1968).

    Google Scholar 

  3. W.W. Wood, J. Fluid Mech.32, 9 (1968).

    Google Scholar 

  4. P.F. Hodnett, Phys. Fluids11, 1636 (1968).

    Google Scholar 

  5. P.N. Choudhury andD.G. Drake, Q. J. Mech. Appl. Math.24, 23 (1971).

    Google Scholar 

  6. I. Proudman andJ.R.A. Pearson, J. Fluid Mech.2, 237 (1957).

    Google Scholar 

  7. H.S. Carslaw andJ.C. Jaeger,Conduction of Heat in Solids (Oxford 1959), 335–336.

  8. M. Van Dyke,Perturbation Methods in Fluid Mechanics (Academic 1964).

  9. J.D. Cole,Perturbation Methods in Applied Mathematics (Blaisdell 1968).

  10. S. Kaplun, J. Math. Mech.6, 595 (1957).

    Google Scholar 

  11. M. Abramowitz andI.A. Stegun,Handbook of Mathematical Functions (Dover 1965), 1027.

Download references

Author information

Author notes

  1. P. F. Hodnett

    Present address: National Institute for Higher Education, Limerick, Ireland

Authors and Affiliations

  1. Dept. of Mechanical Engineering, University of Connecticut, Storrs, Connecticut, USA

    P. F. Hodnett & D. M. Rose

Authors
  1. P. F. Hodnett
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. M. Rose
    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

Hodnett, P.F., Rose, D.M. Unsteady heat transfer from a circular cylinder in a low Reynolds number flow. Journal of Applied Mathematics and Physics (ZAMP) 25, 179–188 (1974). https://doi.org/10.1007/BF01591319

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01591319

Keywords

Search

Navigation