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Free-convection boundary layer on an isothermal horizontal cylinder

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Abstract

The free convection on a horizontal circular cylinder whose temperature is suddenly increased is studied at large Grashof number. An accurate numerical method is described for determining the solution of the time-dependent boundary-layer equations. The development of the various physical properties of the flow are calculated and compared with their values at small and large times as obtained from the previously obtained analytical solutions.

Résumé

Cette étude considère la convection libre à nombre de Grashof élevé au dessus d'un cylindre horizontal de section circulaire lorsqu'on augmente brusquement sa température. On présente une méthode numérique qui permet de déterminer avec précision la solution des équations instationnaires de la couche limite. Le développement des caractéristiques physiques de l'écoulement est calculé et les résultats sont comparés avec ceux qui ont été déjà obtenus analytiquement pour les petites et grandes valeurs de la variable du temps.

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References

  1. S. Ostrach, ‘Laminar Flows with Body Forces’ (Section F ofTheory of Laminar Flows, ed. F. K. Moore), Princeton University Press (1964).

  2. L. Elliott,Free Convection on a Two-Dimensional or Axisymmetric Body, Quart. J. Mech. Appl. Math.23, 153 (1970).

    Google Scholar 

  3. D. Shanks,Non-Linear Transformation of Divergent and Slowly Convergent Sequences, J. Math. Phys.34, 1 (1955).

    Google Scholar 

  4. M. van Dyke,Perturbation Methods in Fluid Dynamics, Academic Press, New York (1964).

    Google Scholar 

  5. J. H. Merkin,Free-Convection Boundary Layer on an Isothermal Horizontal Cylinder, A.S.M.E.-A.I.Ch.E. Heat Transfer Conference, St. Louis, Mo. (1976).

  6. R. Hermann,Wärmeübertragung bei freier Strömung am waagerechten Zylinder in zweiatomigen Gasen, Z. Ver. dt. Ing.379, 1 (1936) {also N.A.C.A. Tech. Mem. 1366 (1954)}.

    Google Scholar 

  7. L. Howarth,Note on the Boundary Layer on a Rotating Sphere, Phil. Mag.42, 1308 (1951).

    Google Scholar 

  8. S. D. Nigam,Note on the Boundary Layer on a Rotating Sphere, Z. angew Math. Phys.5, 151 (1954).

    Google Scholar 

  9. W. H. H. Banks,The Boundary Layer on a Rotating Sphere, Quart. J. Mech. Appl. Math.18, 443 (1965).

    Google Scholar 

  10. W. H. H. Banks,The Laminar Boundary Layer on a Rotating Sphere, Acta Mechanica24, 273 (1976).

    Google Scholar 

  11. K Stewartson,On Rotating Laminar Boundary Layers, Boundary Layer Research, I.U.T.A.M. Symposium, p. 59 (1957).

  12. R. Manohar,The Boundary Layer on a Rotating Sphere, Z. angew Math. Phys.18, 320 (1967).

    Google Scholar 

  13. C. R. Illingworth,Boundary Layer Growth on a Spinning Body, Phil. Mag.45, 1 (1953).

    Google Scholar 

  14. E. R. Benton,Laminar Boundary Layer on an Impulsively Started Rotating Sphere, J. Fluid Mech.23, 611 (1965).

    Google Scholar 

  15. K. E. Barrett,On the Impulsively Started Rotating Sphere, J. Fluid Mech.27, 779 (1967).

    Google Scholar 

  16. F. T. Smith andP. W. Duck,Separation of Jets or Thermal Boundary Layers from a Wall, Quart. J. Mech. Appl. Math.30, 145 (1977).

    Google Scholar 

  17. W. M. Collins andS. C. R. Dennis,Flow Past an Impulsively Started Circular Cylinder, J. Fluid Mech.60, 105 (1973).

    Google Scholar 

  18. W. E. Milne,Numerical Solution of Differential Equations, p. 48 (1953).

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Ingham, D.B. Free-convection boundary layer on an isothermal horizontal cylinder. Journal of Applied Mathematics and Physics (ZAMP) 29, 871–883 (1978). https://doi.org/10.1007/BF01590813

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  • DOI: https://doi.org/10.1007/BF01590813

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