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Mixed convection over a semi-infinite vertical flat plate

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Abstract

The problem of mixed convection over a semi-infinite vertical flat plate is studied by the method of series truncation for both cases when buoyancy adds and opposes the main flow. The present analysis is valid from leading edge to far downstream. The solutions show that the results are very accurate over an entire flow regime spanning from pure forced convection to moderately large free convection flows. In the buoyancy dominated limit the heat transfer is underestimated by 4 percent and skin friction is overestimated by 22 percent.

Zusammenfassung

Das Problem der gemischten Konvektion entlang einer vertikalen ebenen Platte wurde untersucht mit Hilfe der Methode der abgebrochenen Reihen, um Ergebnisse für kleine und mittlere Reynoldszahlen zu geben, verglichen mit den Grenzschicht-Resultaten in der Literatur, die fürRe→∞ gültig sind. Es wurde gefunden, dass die Methode gute Ergebnisse gibt für alle drei Regionen (erzwungene Konvektion dominierend im Nahgebiet, freie Konvektion dominierend im Ferngebiet, und das Zwischengebiet) in die das Strömungsfeld bei Grenzschichtrechnungen aufgeteilt worden ist; nicht nur für genügend grosseR x sondern auch für sehr kleine Werte vonR x .

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References

  1. E. M. Sparrow, R. Eichhorn andJ. L. Gregg,Combined Forced and Free Convection in a Boundary Layer Flow, Phys. Fluids2, 319–328 (1959).

    Google Scholar 

  2. J. H. Merkin,The Effect of Buoyancy Forces on the Boundary-Layer Flow Over a Semi-infinite Vertical Flat Plate in a Uniform Stream, J. Fluid Mech.34, 439–450 (1969).

    Google Scholar 

  3. E. M. Sparrow andJ. L. Gregg,Buoyancy Effects in Forced Convection Flow and Heat Transfer, J. Appl. Mech.26, 133–134 (1959).

    Google Scholar 

  4. A. A. Szewczyk,Combined Forced and Free-convection Laminar Flow, J. Heat Transfer86, 501–507 (1964).

    Google Scholar 

  5. R. C. Gunnes andB. Gebhart,Combined Forced and Natural Convection Flow for the Wedge Geometry, Int. J. Heat Mass Transfer8, 43–53 (1965).

    Google Scholar 

  6. S. Eshghy,Forced Flow Effects on Free Convection Flow and Heat Transfer, J. Heat Transfer86, 290–291 (1964).

    Google Scholar 

  7. J. R. Lloyd andE. M. Sparrow,Combined Forced and Free Convection Flow on Vertical Surface, Int. J. Heat Mass Transfer13, 434–438 (1970).

    Google Scholar 

  8. G. Wilks,Combined Forced and Free Convection on Vertical Surfaces, Int. J. Heat Mass Transfer16, 1958–1964 (1973).

    Google Scholar 

  9. P. H. Oosthuizen andR. Hart,A Numerical Study of Laminar Combined Convective Flow Over Flat Plates, J. Heat Transfer95, 60–63 (1973).

    Google Scholar 

  10. R. T. Davis,Laminar Incompressible Flow Past a Semi-infinite Flat Plate, J. Fluid Mech.27, 691–704 (1967).

    Google Scholar 

  11. R. E. Bellman andR. E. Kalaba,Quasi-linearization and Nonlinear Boundary-value Problems, Rand Corporation, California (1965).

    Google Scholar 

  12. H. Schlichting,Boundary Layer Theory, McGraw-Hill, London (1968).

    Google Scholar 

  13. N. K. Banthiya andN. Afzal. To be published.

  14. S. Kaplun,The Role of Coordinate System in Boundary Layer Theory, Z. angew. Math. Phys.5, 111–135 (1954).

    Google Scholar 

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Authors and Affiliations

  1. Dept. of Mechanical Engineering, Aligarh Muslim University, Aligarh, India

    Noor Afzal

  2. Dept. of Mechanical Engineering, Technical Teachers Training Institute, Bhopal, India

    N. K. Banthiya

Authors
  1. Noor Afzal
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  2. N. K. Banthiya
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Afzal, N., Banthiya, N.K. Mixed convection over a semi-infinite vertical flat plate. Journal of Applied Mathematics and Physics (ZAMP) 28, 993–1004 (1977). https://doi.org/10.1007/BF01601667

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  • DOI: https://doi.org/10.1007/BF01601667

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