444slides.25.022107

444slides.25.022107 - Pressure is a mechanical variable: it...

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Unformatted text preview: Pressure is a mechanical variable: it accelerates the flow fv x p Dt Du + ∂ ∂- = α fu y p Dt Dv- ∂ ∂- = α g z p Dt Dw- ∂ ∂- = α Pressure is also a thermodynamic variable: RT p ρ = ( 29 ( 29 ( 29 ( 29 w z v y u x t ρ ρ ρ ρ ρ ∂ ∂- ∂ ∂- ∂ ∂- = •-∇ = ∂ ∂ u B Pressure responds to density, and we know from the continuity equation that density responds to mass convergence and divergence RT p ρ = ( 29 u B ρ ρ •-∇ = ∂ ∂ t So, mass convergence increases the density (continuity eqn.), which simultaneously raises the pressure (eqn. of state). An area of maximized pressure will then produce divergence through the pressure gradient acceleration (eqns. of motion). fv x p Dt Du + ∂ ∂- = ρ 1 fu y p Dt Dv- ∂ ∂- = ρ 1 g z p Dt Dw- ∂ ∂- = ρ 1 This provides the mechanism for acoustic (sound) waves to propagate Holton “speaker” Acoustic waves: propagate owing to compressibility of the medium We have said that the geostrophic adjustment process keeps the large scale atmosphere close to...
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This note was uploaded on 08/01/2008 for the course MEA 444 taught by Professor Parker during the Spring '07 term at N.C. State.

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444slides.25.022107 - Pressure is a mechanical variable: it...

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