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A numerical study of similarity solutions for combined forced and free convection

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Summary

The similarity equations for combined forced and free convection flow over a horizontal plate when the wall temperature is inversely proportional to the square root of the distance from the leading edge are solved by introducing a scaling similar to that for the Blasius equation. The technique is also applied to the local similarity equations for the case of a constant wall temperature.

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References

  1. Chen, T. S., Sparrow, E. M., Mocoglu, A.: Mixed convection in boundary layer flow on a horizontal plate. J. Heat Transfer99, 66–71 (1977).

    Google Scholar 

  2. Hartmann, P.: Ordinary differential equations, 2nd ed. Boston: Birkhäuser 1982.

    Google Scholar 

  3. Keller, H. B.: Numerical solution of bifurcation and nonlinear eigenvalue problems. In: Applications of bifurcation theory (Rabinowitz, P. H., ed.), pp. 359–384. New York: Academic Press 1977.

    Google Scholar 

  4. Markowich, P. A.: Analysis of boundary value problems on infinite intervals. SIAM J. Math. Anal.14, 11–37 (1983).

    Google Scholar 

  5. Moore, G., Spence, A.: The calculation of turning points of nonlinear equations. SIAM J. Numer. Anal.17, 567–576 (1980).

    Google Scholar 

  6. Schneider, W.: A similarity solution for combined forced and free convenction flow over a horizontal plate. Int. J. Heat Mass Transfer22, 1401–1406 (1979).

    Google Scholar 

  7. Schwetlik, H.: Numerische Lösung nichtlinearer Gleichungen. München: R. Oldenbourg Verlag 1979.

    Google Scholar 

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Authors and Affiliations

  1. Divison of Mathematics and Statistics, CSIRO, P. O. Box 1965, 2601, Canberra, A.C.T., Australia

    F. R. de Hoog

  2. Institut für Angewandte und Numerische Mathematik, Technische Universität Wien, Gusshausstrasse 27-29, A-1040, Wien, Austria

    B. Laminger &  R. Weiss

Authors
  1. F. R. de Hoog
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  2. B. Laminger
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  3. R. Weiss
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de Hoog, F.R., Laminger, B. & Weiss, R. A numerical study of similarity solutions for combined forced and free convection. Acta Mechanica 51, 139–149 (1984). https://doi.org/10.1007/BF01177068

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  • DOI: https://doi.org/10.1007/BF01177068

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