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By Steven A Jones, fizik

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According to the well-known Monin-Obukhov similarity theory (MOST) (Monin-Obukhov, 1954), the non-dimensional profiles of wind shear, φ m, temperature gradient, φ h, and moisture gradient, φ q, are expressed as: kz ∂u z = φm   , u* ∂z  L (3) kz ∂θ z = φh   , θ * ∂z  L (4) kz ∂q z = φq   . q* ∂z  L (5) In the above equations, it states that in the atmospheric surface layer, the non-dimensional wind shear, and temperature and moisture gradients can be expressed as a universal function of the atmospheric stability parameter, z/L, where L is the Monin-Obukhov stability length (as defined in Eq.

K. (1988). " Experiments in Fluids 6: 67-68. , R. J. Adrian, et al. (1997). " Measurement Science and Technology 8: 1441-1454. Tatum, J. , M. V. Finnis, et al. (2005). "3-D particle image velocimetry of the flow field around a sphere sedimenting near a wall: Part 2. " Journal of Non-Newtonian Fluid Mechanics 127(2-3): 95-106. Tatum, J. , M. V. Finnis, et al. (2007). "3D particle image velocimetry of the flow field around a sphere sedimenting near a wall: Part 1. " Journal of Non-Newtonian Fluid Mechanics 141: 99-115.

2. The Monin-Obukhov similarity theory The Monin-Obukhov similarity theory is based on dimensional analysis, which basically states that the flow is in quasi steady state over the horizontally homogeneous surface. And the vertical profiles of the horizontal mean wind and temperature, and the characteristics of turbulence in the atmospheric surface layer can be described as a universal function of relevant parameters, including the height above the surface, the surface wind stress, the buoyancy parameter, and the surface heat flux.

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