Advertisement

Numerical modeling of heat and water vapor transport through the interfacial boundary layer into a turbulent atmosphere

  • A. S. M. Gieske
Conference paper
  • 1.2k Downloads
Part of the ERCOFTAC Series book series (ERCO, volume 11)

Abstract

A stochastic numerical model is developed to simulate heat and water vapor transfer from a rough surface through a boundary layer into the fully turbulent atmosphere. The so-called interfacial boundary layer is conceptualized as a semi-stagnant layer of air in the roughness cavities at the surface into which the smallest eddies penetrate to random approach distances and with random inter-arrival times, carrying away energy, molecules, or any other scalar admixture. The model makes use of the one-dimensional transient heat conduction equation where the boundary conditions are updated in time and space by random deviates from a general gamma distribution. The one-dimensional transfer equation is solved by the implicit finite difference method which allows conversion to a standard tridiagonal matrix equation.

Keywords

Friction Velocity Roughness Length Heat Conduction Equation Turbulent Atmosphere Water Vapor Transport 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Brutsaert W (1975) A theory for local evaporation from rough and smooth surfaces at ground level, Water Resour Res 11(4): 543–550Google Scholar
  2. [2]
    Brutsaert W (1979) Heat and mass transfer to and from surfaces with dense vegetation or similar permeable roughness, Bnd-Layer Met. 16:365–388CrossRefGoogle Scholar
  3. [3]
    Brutsaert W (1982) Evaporation into the atmosphere. Reidel Pub Co, Dordrecht, The NetherlandsGoogle Scholar
  4. [4]
    Brutsaert W (1965) A model for evaporation as a molecular diffusion process into a turbulent atmosphere. J Geophys Res 70(20): 5017–5024Google Scholar
  5. [5]
    Harriott P (1962a) A random eddy modification of the penetration theory. Chemical Engineering Science 17:149–154.CrossRefGoogle Scholar
  6. [6]
    Kolmogorov AN (1962) A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number. J Fluid Mech 13:82–85CrossRefGoogle Scholar
  7. [7]
    Obukhov AM (1971) Turbulence in an atmosphere with a non-uniform temperature. Bnd-Layer Met. 2:7–29CrossRefGoogle Scholar
  8. [8]
    Kays WM, Crawford ME (1993) Convective heat and mass transfer. McGraw-Hill, USAGoogle Scholar
  9. [9]
    Carslaw HS, Jaeger JC (1986) Conduction of Heat in Solids. Oxford University Press, UKGoogle Scholar
  10. [10]
    Trombetti F, Caporaloni M, Tampieri F (1978) Bulk transfer velocity to and from natural and artificial surfaces. Bnd-Layer Met. 14: 585–595CrossRefGoogle Scholar
  11. [11]
    Kustas WP, Humes KS, Norman JM, Moran MS (1996) Single-and Dual-Source Modeling of Energy Fluxes with Radiometric Surface Temperature. J Appl Meteor 35: 110–121CrossRefGoogle Scholar
  12. [12]
    Su Z (2005) Estimation of the surface energy balance. In: Encyclopedia of hydrological sciences: 5 Volumes. / ed. by M.G. Anderson and J.J. McDonnell. Chichester Wiley & Sons 2:731–752Google Scholar
  13. [13]
    Harriott P (1962b) A review of Mass Transfer to Interfaces. Can J Chem Eng 4:60–69Google Scholar
  14. [14]
    Thomas LC, Fan LT (1971) Adaptation of the surface rejuvenation model to turbulent heat and mass transfer at a solid-fluid interface. Ind Eng Chem Fundam 10(1): 135–139CrossRefGoogle Scholar
  15. [15]
    Wang HF, Anderson MP (1982) Introduction to Groundwater Modeling, Finite Difference and Finite Element Methods. W.H. Freeman and Company. San Francisco, USAGoogle Scholar
  16. [16]
    Press WH, Flannery BP, Teukolsky SA, Vetterling WT (1986) Numerical Recipes, The Art of Scientific Computing. Cambridge University PressGoogle Scholar
  17. [17]
    Crago R, Hervol N, Crowley R (2005) A complementary evaporation approach to the scalar roughness length. Water Res. Res. 41: W06117CrossRefGoogle Scholar
  18. [18]
    Verhoef A, De Bruin HAR, Van den Hurk BJJM (1997) Some practical notes on the parameter kB-1 for sparse vegetation. J Appl Met 36: 560CrossRefGoogle Scholar
  19. [19]
    Bird RB, Stewart WE, Lightfoot EN (1960) Transport Phenomena. Wiley and Sons, USAGoogle Scholar
  20. [20]
    Owen PR, Thomson WR (1962) Heat transfer across rough surfaces. Journal Fluid Mech 15: 321–334CrossRefGoogle Scholar
  21. [21]
    Chamberlain (1968) Transport of gases to and from surfaces with bluff and wave-like roughness elements. Quart J. Royal Met Soc 94: 318–332CrossRefGoogle Scholar
  22. [22]
    Dipprey DF, Sabersky RH (1963) Heat and momentum transfer in smooth and rough tubes at various Prandtl numbers. Int Journal Heat Mass Transfer 6:329–353CrossRefGoogle Scholar

Copyright information

© Springer 2007

Authors and Affiliations

  • A. S. M. Gieske
    • 1
  1. 1.Water Resources DivisionInternational Institute for Geo-Information Science and Earth Observation (ITC)EnschedeThe Netherlands

Personalised recommendations