Skip to main content
Log in

Heat transport coefficients for constant energy flux models of broad leaves

  • Published:
Boundary-Layer Meteorology Aims and scope Submit manuscript

Abstract

Experimental determinations of the local heat transfer by forced convection from model leaves heated by a constant energy flux were made in the laboratory under laminar and turbulent flow conditions.

The results are expressed in a logarithmic dimensionless plot of the local Nusselt number, Nu d , against the local Reynolds number, Re d . For the laminar case, Nu d was only a linear function of Re d 1/2 downwind from the leading edge regions, although this relationship departed from that predicted theoretically due to the finite size and thickness of the model. For the turbulent case, a simple relationship between Nu d and Re d was found over a wide range of Reynolds numbers. The enhancement of heat transfer in the turbulent case depends primarily on the scale of turbulence rather than on the turbulent intensity.

Past workers have discussed their results in relation to a factor β, defined as the ratio between the heat transfer predicted by the Polhausen equation, and that measured. The results suggest that β is not a unique parameter and may not be useful in describing the overall turbulent transfer process.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Chamberlain, A.C.: 1974, ‘Mass Transfer to Bean Leaves’, Boundary-Layer Meteorol. 6, 477–486.

    Google Scholar 

  • Ede, A. J.: 1967, An Introduction to Heat Transfer Principles, Pergamon Press, Oxford.

    Google Scholar 

  • Gates, D. M. and Papian, L. E.: 1971, Atlas of Energy Budgets of Plant Leaves, Academic Press, London and New York.

    Google Scholar 

  • Kestin, J., Maeder, P. F., and Wang, H. E.: 1961, ‘Influence of Turbulence on the Transfer of Heat from Plates with and without a Pressure Gradient’, Int. J. Heat Mass Transfer 3, 133–154.

    Google Scholar 

  • Kumar, A. and Barthakur, N.: 1971, ‘Convective Heat Transfer Measurements of Plants in a Wind Tunnel, Boundary-Layer Meteorol. 2, 218–227.

    Google Scholar 

  • Monteith, J. L.: 1965, ‘Evaporation and Environment’, Proc. Symp. Soc. Exp. Biol. 19, 205–234.

    Google Scholar 

  • Monteith, J. L.: 1973, Principles of Environmental Physics, Edward Arnold, London.

    Google Scholar 

  • Parkhurst, D. F., Duncan, P. R., Gates, D. M., and Kreith, F.: 1968, ‘Convection Heat Transfer from Broad Leaves of Plants’, J. Heat Transfer (Trans ASME) 90, 17–26.

    Google Scholar 

  • Parlange, J-Y., Waggoner, P. E., and Heichel, G. H.: 1971, ‘Boundary Layer Resistance and Temperature Distribution on Still and Flapping Leaves’, Plant Physiol. 48, 437–442.

    Google Scholar 

  • Pearman, G.I., Weaver, H. L., and Tanner, C. B.: 1972, ‘Boundary Layer Heat Transfer Coefficients Under Field Conditions’, Agric. Meteorol. 10, 83–92.

    Google Scholar 

  • Perrier, E. R., Robertson, J. M., Millington, R. J., and Peters, D. B.: 1972, ‘Spatial and Temporal Variation of Wind Above and Within a Soybean Crop’, Agric. Meteorol. 10, 421–442.

    Google Scholar 

  • Raschke, K.: 1956, ‘Mikrometeorologische Gemissene Energieumsätze eines Alocasiablattes’, Arch. Meteorol. Geoph. Biokl. B. 7, 240–268.

    Google Scholar 

  • Raschke, K.: 1960, ‘Heat Transfer Between the Plant and the Environment’, Ann. Rev. Plant Physiol. 11, 111–126.

    Google Scholar 

  • Schuepp, P. H.: 1972, ‘Studies of Forced Convection Heat and Mass Transfer of Fluttering Realistic Leaves’, Boundary-Layer Meteorol. 2, 263–274.

    Google Scholar 

  • Thom, A. S.: 1968, ‘The Exchange of Momentum, Mass and Heat Between an Artificial Leaf and the Airflow in a Wind Tunnel, Quart. J. Roy. Meteorol. Soc. 94, 44–55.

    Google Scholar 

  • Wigley, G. and Durst, F. J.: 1974, ‘Determination of Boundary Layer Transport Properties for Small Flat Plates and Bean Plant Leaves by Optical Anemometry’. SFB-80 (University of Karlsruhe, F.R.G.) Internal Report, in press.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wigley, G., Clark, J.A. Heat transport coefficients for constant energy flux models of broad leaves. Boundary-Layer Meteorol 7, 139–150 (1974). https://doi.org/10.1007/BF00227909

Download citation

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00227909

Keywords

Navigation