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8.20 Evaluate the Reynolds term in Eq. (8.63) . Could it be important?
8.21 Prove Eq. (8.37) by using the equation of state for each constituent.
8.22 Use the equation of state and the hydrostatic relation to find an expression
for ρ(z) in an adiabatic atmosphere.
8.23 Use scaling arguments to show that the dominant pressure changes along
a parcel trajectory in the turbulent lower atmosphere are caused by verti-
cal displacements in the background vertical pressure gradient, rather than
turbulent pressure fluctuations.
References
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Bohren, C. F., and B. A. Albrecht, 1998: Atmospheric Thermodynamics .NewYork:
Oxford University Press.
Larson, V. E., R. Wood, P. Field, et al ., 2001: Systematic biases in the microphysics and
thermodynamics of numerical models that ignore subgrid-scale variability. J. Atmos.
Sci. , 58 , 1117-1128.
Lumley, J. L., and H. A. Panofsky, 1964: The Structure of Atmospheric Turbulence .
New York: Interscience.
Townsend, A. A., 1958: The effects of radiative transfer on turbulent flow of a stratified
fluid. J. Fluid Mech. , 4 , 361-375.
Vallis, G. K., 2006: Atmospheric and Oceanic Fluid Dynamics . Cambridge University
Press.
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