Stability Convection

Atmospheric Science · Part 2

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Table of Contents

  1. 1.Static Stability
  2. 2.Buoyancy & Brunt-Väisälä Frequency
  3. 3.CAPE & CIN
  4. 4.Absolutely Stable
  5. 5.Absolutely Unstable
  6. 6.Conditionally Unstable
  7. 7.Stability Criterion in Terms of Potential Temperature
  8. 8.Parcel Buoyancy
  9. 9.Brunt-Väisälä (Buoyancy) Frequency
  10. 10.Richardson Number

Key Equations

$$\frac{\partial \theta}{\partial z} > 0 \;\;\text{(stable)}, \qquad \frac{\partial \theta}{\partial z} = 0 \;\;\text{(neutral)}, \qquad \frac{\partial \theta}{\partial z} < 0 \;\;\text{(unstable)}$$
$$N^2 = \frac{g}{\theta}\frac{d\theta}{dz} = \frac{g}{T}\left(\frac{dT}{dz} + \Gamma_d\right)$$
$$CAPE = \int_{LFC}^{EL} g \frac{T_{parcel} - T_{env}}{T_{env}} dz$$
$$w_{\max} = \sqrt{2 \cdot \text{CAPE}}$$

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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