Similarity Hypotheses for the Atmospheric Surface Layer Expressed by Non-Dimensional Characteristic Invariants – A Review

@article{Kramm2009SimilarityHF,
  title={Similarity Hypotheses for the Atmospheric Surface Layer Expressed by Non-Dimensional Characteristic Invariants – A Review},
  author={G. Kramm and F. Herbert},
  journal={The Open Atmospheric Science Journal},
  year={2009},
  volume={3},
  pages={48-79}
}
  • G. Kramm, F. Herbert
  • Published 2009
  • Mathematics
  • The Open Atmospheric Science Journal
  • In this paper, similarity hypotheses for the atmospheric surface layer (ASL) are reviewed using nondimensional characteristic invariants, referred to as -numbers. The basic idea of this dimensional -invariants analysis (sometimes also called Buckingham’s -theorem) is described in a mathematically generalized formalism. To illustrate the task of this powerful method and how it can be applied to deduce a variety of reasonable solutions by the formalized procedure of non-dimensionalization… CONTINUE READING

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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 153 REFERENCES
    Flux-Profile Relationships in the Atmospheric Surface Layer
    • 2,848
    • Highly Influential
    An Introduction to Boundary Layer Meteorology
    • 7,703
    • PDF
    Non-dimensional wind and temperature profiles in the atmospheric surface layer: A re-evaluation
    • 791
    Flux‐gradient relationships in the constant flux layer
    • 798
    • Highly Influential
    Profile relationships: The log‐linear range, and extension to strong stability
    • 750
    • Highly Influential
    • PDF
    Local Free Convection, Similarity, and the Budgets of Shear Stress and Heat Flux
    • 463
    The Mathematical Representation of Wind Speed and Temperature Profiles in the Unstable Atmospheric Surface Layer
    • 1,529
    • Highly Influential