Pressure Wind

Atmospheric Science · Part 3

174 KB8 sections4 key equationsLaTeX typeset

Table of Contents

  1. 1.Pressure Gradient Force
  2. 2.Equation of Motion
  3. 3.Gradient & Cyclostrophic Wind
  4. 4.Coriolis Parameter
  5. 5.Natural Coordinate Momentum Equation
  6. 6.Gradient Wind Equation
  7. 7.Cyclostrophic Balance
  8. 8.Thermal Wind Relation

Key Equations

$$\vec{F}_{PGF} = -\frac{1}{\rho}\nabla p = -\frac{1}{\rho}\left(\frac{\partial p}{\partial x}\hat{i} + \frac{\partial p}{\partial y}\hat{j} + \frac{\partial p}{\partial z}\hat{k}\right)$$
$$f = 2\Omega \sin\varphi$$
$$\frac{V^2}{r} = -\frac{1}{\rho}\frac{\partial p}{\partial n} + fV$$
$$\frac{V^2}{r} = -\frac{1}{\rho}\frac{\partial p}{\partial n}$$

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...