Blending and internal boundary-layer heights, and shear stress |
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| Authors: | JR Philip |
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| Institution: | (1) CSIRO Centre for Environmental Mechanics, GPO Box 821, Canberra, ACT 2601, Australia |
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| Abstract: | Previous studies of blending heightsfor scalars, using periodic solutions of atmosphericconvection-diffusion equations, raise two questions. 1. What is the relation between growth of the internalboundary-layer height downwind of a step in surfaceconditions, and the increase of blending height withdownwind pattern wavelength? 2. Can the approach beextended to shear stress? The answers are: 1. Thedependence of boundary-layer height on fetch has thesame functional form as that of blending height onwavelength; but it is greater by a factor of about1.9. 2. Representing eddy diffusivity as the productof mean windspeed and a power of height gives a linearhorizontal momentum equation. A further approximationgives a convection-diffusion equation for shearstress, analogous to those used previously forscalars. |
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| Keywords: | Convection-diffusion Boundary layer Blending height Scalar Shear stress |
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