Geostrophic Balance

Atmospheric Science · Part 3

172 KB6 sections4 key equationsLaTeX typeset
Download PDFRead Online (Free)

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...

← Boundary Layer
Local Winds →

Get Instant Access to 461+ PDF Study Guides

Professional LaTeX-typeset PDFs with complete derivations, worked examples, and beautiful equation rendering. Download any PDF, anytime. Cancel anytime.

$5
per month
All courses included
Save 17%
$50
per year
Best value
Subscribe Now
Secure payment via StripeCancel anytimeInstant access