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Laminar and Turbulent Natural Convection in Solar Energy Applications

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Solar Energy Utilization

Part of the book series: NATO ASI Series ((NSSE,volume 129))

Abstract

A computational approach is presented for the analysis of types of natural convection problems that are common in solar energy systems. Such configurations are characterized as tilted slender enclosures where the flow regime can be both laminar and turbulent. The computations are based on a finite-difference technique where the difference equations are obtained using an integration cell approach. The full set of Navier-Stokes equations are considered to be able to simulate recirculating flows. Turbulent regime computations are performed using a two-equation model where turbulence is characterized by turbulent kinetic energy K and its dissipation rate ε.

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References

  1. Rayleigh, L., 1916, Phil. mag. and jour. Sci., Vol. 32, pp. 529–547.

    Google Scholar 

  2. Finlayson, B. A., 1972, The Method of Weighted Residuals and Variational Principles, with Application in Fluid Mechanics, Heat, and Mass Transfer, Academic Press.

    MATH  Google Scholar 

  3. Busse, F. H., 1978, “Non-linear properties of thermal convection,” Reports on Progress in Physics, Vol. 41, pp. 1930–1967.

    Article  Google Scholar 

  4. Jaluria, Y., 1980, Natural Convection Heat and Mass Transfer, Pergamon Press.

    Google Scholar 

  5. Schinkel, W.I.M., 1980, Natural Convection in Inclined Air-Filled Enclosures, Dutch Efficiency Bureau-Pijnacker, Delft.

    Google Scholar 

  6. Catton, I., 1978, “Natural Convection in Enclosures,” Proceedings, 6th International Heat Transfer Conference, Toronto, Canada, August 7–11, 1978, J. T. Rogers, ed.,Hemisphere Publishing Corp., Washington, D.C., Vol. 6, pp. 13–31.

    Google Scholar 

  7. Arnold, J. N., Catton, I., and Edwards, D. K., 1976, “Experimental Investigation of Natural Convection in Inclined Rectangular Regions of Differing Aspect Ratios,” ASME Journal of Heat Transfer, Vol. 98, pp. 67–71.

    Article  Google Scholar 

  8. El Sherbiny, S. M., Raithby, G. D., and Hollands, K. G. T., 1982, “Heat Transfer by Natural Convection Across Vertical and Inclined Air Layers,” ASME Journal of Heat Transfer, Vol. 104, pp. 96–102.

    Article  Google Scholar 

  9. Elsherbiny, S. M., Hollands, K. G. T., and Raithby, G. D., 1982, “Effect of Thermal Boundary Conditions on Natural Convection Across Vertical and Inclined Air Layers,” ASME Journal of Heat Transfer, Vol. 104, pp. 515–520.

    Article  Google Scholar 

  10. Inaba, H., and Fukada, T., 1984, “An Experimental Study of Natural Convection in an Inclined Rectangular Cavity Filled With Water at its Density Extremum,” ASME Journal of Heat Transfer, Vol. 106, pp. 109–115.

    Article  Google Scholar 

  11. Symons, J. G., and Peck, M. K., 1984, “Natural Convection Heat Transfer Through Inclined Longitudinal Slots,” ASME Journal of Heat Transfer, Vol. 106, pp. 824–829.

    Article  Google Scholar 

  12. Linthorst, S. J. M., 1985, Natural Convection Suppression in Solar Collectors, Dutch Efficiency Bureau-Pijnacker, Delft.

    Google Scholar 

  13. Lee, T. S., 1984, “Computational and Experimental Studies of Convective Fluid Motion and Heat Transfer in Inclined Non-rectangular Enclosures,” International Journal of Heat & Fluid Flow, Vol. 5, pp. 29–36.

    Article  Google Scholar 

  14. Güçeri, S. I., and Farouk, B., 1985, “Numerical Solutions in Laminar and Turbulent Natural Convection,” Natural Convection, Fundamentals and Applications, S. Kakaç et al., eds., Hemisphere Publishing Corp., Washington, D.C., pp. 615–654.

    Google Scholar 

  15. Chu, H. H. -S., Churchill, S. W., and Patterson, C. V. S., 1976, “The Effect of Heater Size, Location, Aspect Ratio, and Boundary Conditions on Two-Dimensional, Laminar, Natural Convection in Rectangular Channels,” ASME Journal of Heat Transfer, Vol. 98, pp. 194–200.

    Article  Google Scholar 

  16. Farouk, B., 1981, Laminar and Turbulent Natural Convection Heat Transfer From Horizontal Cylinders, Ph.D. Thesis, University of Delaware, Newark, DE.

    Google Scholar 

  17. Korpela, S. A., Lee, Y., and Drummond, J. E., 1982, “Heat Transfer Through a Double Pane Window,” ASME Journal of Heat Transfer, Vol. 104, pp. 539–544.

    Article  Google Scholar 

  18. Plumb, O. A., and Kennedy, L. A., 1977, “Application if a k-e Turbulence Model to Natural Convection From a Vertical Isothermal Surface,” ASME Journal of Heat Transfer, Vol. 99, pp. 79–85.

    Article  Google Scholar 

  19. Fraikin, M. P., Portier, J. J., and Fraikin, C. J., 1980, “Application of a K-e Turbulence Model to an Enclosed Buoyancy driven Recirculating Flow,” ASME Technical Paper 80-HT-68.

    Google Scholar 

  20. Farouk, B., and Güçeri, S. L, 1982, “Laminar and Turbulent Natural Convection in the Annulus Between Horizontal Concentric Cylinders,” ASME Journal of Heat Transfer, Vol. 104, pp. 631–636.

    Article  Google Scholar 

  21. Farouk, B., Kulacki, F. A., and Giiçeri, S. I., 1984, “Turbulent Thermal Convection in a Confined Heat Generating Fluid Layer,” ASME Technical Paper 84-HT-59.

    Google Scholar 

  22. Aydemir, N. U., Sousa, A. C. M., and Venart, J. E. S., 1986, “Transient Laminar Free Convection in Horizontal Cylinders,” to be published.

    Google Scholar 

  23. Projahn, U., Reiger, H., and Beer, H., 1981, “Numerical Analysis of Laminar Natural Convection Between Concentric and Eccentric Cylinders,” Numerical Heat Transfer, Vol. 4, pp. 131–146.

    Article  Google Scholar 

  24. Coulter, J. P., and Giiçeri, S. I., 1986, “Laminar and Turbulent Natural Convection within Irregularly Shaped Enclosures,” CCM Report 86–08, Center for Composite Materials, University of Delaware, Newark, DE.

    Google Scholar 

  25. Coulter, J. P., and Güçeri, S. I., 1986, “Laminar and Turbulent Natural Convection within Irregularly Shaped Enclosures,” submitted for publication in the ASME Journal of Heat Transfer.

    Google Scholar 

  26. Gosman, A. D., Pun, W. M., Runchal, A. K., Spalding, D. B., and Wolfstein, M. W., 1969, Heat and Mass Transfer in Recirculating Flows, Academic Press, London.

    Google Scholar 

  27. Jones, W. P., and Launder, B. E., 1972, “The Prediction of Laminarization with a Two Equation Model of Turbulence,” International Journal of Heat and Mass Transfer, Vol. 15, pp. 301–314.

    Article  Google Scholar 

  28. Launder, B. E., and Spalding, D. B., 1972, Lectures in Mathematical Models of Turbulence, Academic Press, London.

    MATH  Google Scholar 

  29. Jones, W. P., and Launder, B. E., 1973, “The Calculation of Low-Reynolds Number Phenomena with a Two Equation Model of Turbulence,” International Journal of Heat and Mass Transfer, Vol. 16, pp. 1119–1128.

    Article  Google Scholar 

  30. Spalding, D. B., 1977, “Turbulence Models (2nd Issue),” Heat Transfer Section Report HT3/76/17, Imperial College, London.

    Google Scholar 

  31. Ozoe, H., Fujii, K., Lior, N., and Churchill, S. W., 1983, “Long Rolls Generated by Natural Convection in an Inclined, Rectangular Enclosure”, International Journal of Heat and Mass Transfer, Vol.26, pp. 1427–1438.

    Article  MATH  Google Scholar 

  32. Ozoe, H., Mouri, A., and Hiramitsu, M., (1984) “Numerical Calculation of Three-Dimensional Turbulent Natrural Convection in a Cubical Enclosure Using a Two-Equation Model”, ASME 22nd National Heat Transfer Conference, Niagara Falls, New York, Proceedings, pp.25–32.

    Google Scholar 

  33. Ozoe, H., Yamamoto, K., Churchill, S. W., and Sayama, H., (1976), “Three-Dimensional, Numerical Analysis of Laminar Natural Convection in a Confined Fluid Heated From Below”, Journal of Heat Transfer, Vol.98, pp.202–207.

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Thermal Engineering and Advanced Manufacturing Group, Mechanical Engineering Department, University of Delaware, Newark, Delaware, 19716, USA

    J. P. Coulter & S. I. Güçeri

Authors
  1. J. P. Coulter
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  2. S. I. Güçeri
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Editor information

Editors and Affiliations

  1. Mechanical Engineering Department, Middle East Technical University, Ankara, Turkey

    H. Yüncü  & E. Paykoc  & 

  2. Mechanical Engineering Department, Northeastern University, Boston, MA, USA

    Y. Yener

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© 1987 Martinus Nijhoff Publishers, Dordrecht

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Coulter, J.P., Güçeri, S.I. (1987). Laminar and Turbulent Natural Convection in Solar Energy Applications. In: Yüncü, H., Paykoc, E., Yener, Y. (eds) Solar Energy Utilization. NATO ASI Series, vol 129. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3631-7_14

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  • DOI: https://doi.org/10.1007/978-94-009-3631-7_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8124-5

  • Online ISBN: 978-94-009-3631-7

  • eBook Packages: Springer Book Archive

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