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Transient heat transfer for flow over a rotating disk

Instationärer Wärmeübergang in einer Strömung über eine rotierende Scheibe

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Summary

The development of the thermal boundary layer over a rotating disk, following a step change in temperature of the disk, is discussed. The unexpected non-monotonic behaviour of the response time as a function of thePrandtl number is examined by considering the asymptotic form of the solution of the governing equation for large time. The results and conjectures which are to be found in earlier papers are, respectively, extended and verified.

Zusammenfassung

Es wird die Entwicklung der thermischen Grenzschicht an einer rotierenden Scheibe nach einem plötzlichen Wechsel der Scheibentemperatur erörtert. Das unerwartete nichtmonotone Verhalten der Reaktionszeit als Funktion derPrandtl-Zahl wird dadurch untersucht, daß die asymptotische Form der beschreibenden Gleichung für lange Zeiten betrachtet wird. Die Resultate und Vermutungen, die in früheren Arbeiten zu finden sind, werden erweitert bzw. bestätigt.

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References

  1. Andrews, R. D., andN. Riley: Unsteady heat transfer from a rotating disk. Quart. J. Mech. App. Math.22, 19 (1969).

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  2. Cess, R. D. andE. M. Sparrow: Unsteady heat transfer from a rotating disk and at a stagnation point. Proc. Int. Heat Trans. Conf. Boulder. 468 (1961)

  3. Olander, D. R.: Unsteady — state heat and mass transfer in the rotating disk — revolving fluid system. Int. J. Heat Mass Transfer5, 825 (1962).

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  4. Titchmarsh, E. C.: Eigenfunction Expansions. Part 1, 2nd Ed. Clarendon Press 1962.

  5. Carslaw, H. S., andJ. C. Jaeger: Operational Methods in Applied Mathematics. Dover 1963.

  6. Riley, N.: Heat Transfer from a Rotating Disk. Quart. J. Mech. App. Math.17, 331 (1964).

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  7. Goodwin, E. T. (Ed.): Modern Computing Methods. H. M. S. O. 1961.

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Authors and Affiliations

  1. School of Mathematics and Physics, University of East Anglia, Norwich, England

    N. Riley

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  1. N. Riley
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Riley, N. Transient heat transfer for flow over a rotating disk. Acta Mechanica 8, 285–303 (1969). https://doi.org/10.1007/BF01182265

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  • DOI: https://doi.org/10.1007/BF01182265

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