(NEED TO DERIVE EQUATION NOT JUST WORDS) In cartesian tangent plane coordinates, derive the horizontal divergence and the vertical vorticity of the geostrophic wind assuming (a) f is constant (b) f = 2Ωsin[φ0 +(y/Re)] where Re = radius of the Earth and the latitude φ = φ0 + y/Re. In order to avoid having to make assumptions about ρ, use the pressure-coordinate (i.e.geopotential) formulation for the geostrophic wind.
(NEED TO DERIVE EQUATION NOT JUST WORDS) In cartesian tangent plane coordinates, derive the horizontal divergence and the vertical vorticity of the geostrophic wind assuming (a) f is constant (b) f = 2Ωsin[φ0 +(y/Re)] where Re = radius of the Earth and the latitude φ = φ0 + y/Re. In order to avoid having to make assumptions about ρ, use the pressure-coordinate (i.e.geopotential) formulation for the geostrophic wind.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(NEED TO DERIVE EQUATION NOT JUST WORDS) In cartesian tangent plane coordinates, derive the horizontal divergence and the vertical vorticity of the geostrophic wind assuming (a) f is constant (b) f = 2Ωsin[φ0 +(y/Re)] where Re = radius of the Earth and the latitude φ = φ0 + y/Re. In order to avoid having to make assumptions about ρ, use the pressure-coordinate (i.e.geopotential) formulation for the geostrophic wind.
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