Geostrophic Balance

Atmospheric Science · Part 3

172 KB6 sections4 key equationsLaTeX typeset
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Table of Contents

  1. 1.Coriolis Force
  2. 2.Geostrophic Wind
  3. 3.Thermal Wind
  4. 4.Rossby Number
  5. 5.Geopotential Height Form
  6. 6.Ageostrophic Wind & Acceleration

Key Equations

$$\vec{F}_{Cor} = -2\vec{\Omega} \times \vec{v} = -f\hat{k} \times \vec{v}$$
$$u_g = -\frac{1}{\rho f}\frac{\partial p}{\partial y}, \quad v_g = \frac{1}{\rho f}\frac{\partial p}{\partial x}$$
$$\vec{v}_{ag} = \vec{v} - \vec{v}_g$$
$$\vec{v}_T = \vec{v}_g(p_1) - \vec{v}_g(p_0) = \frac{R}{f}\ln\left(\frac{p_0}{p_1}\right)\hat{k} \times \nabla_p \bar{T}$$

Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.

Course Context

This PDF is part of the Atmospheric Science course on CoursesHub.World. Study the physics of weather and climate from atmospheric thermodynamics to planetary atmospheres. Covers atmospheric dynamics, synoptic meteorology, clouds and precipitation, radiation budgets, clima...

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