Adiabatic Processes

Atmospheric Science · Part 2

186 KB9 sections4 key equationsLaTeX typeset

Table of Contents

  1. 1.Dry Adiabatic Lapse Rate
  2. 2.Moist Adiabatic Lapse Rate
  3. 3.Potential Temperature
  4. 4.Thermodynamic Diagrams
  5. 5.Derivation
  6. 6.Pseudoadiabatic Energy Balance
  7. 7.Skew-T Log-P Coordinates
  8. 8.Tephigram Coordinates
  9. 9.Normand's Rule

Key Equations

$$\Gamma_d = -\frac{dT}{dz} = \frac{g}{c_p} = 9.8 \text{ K/km}$$
$$c_p\,dT = -g\,dz \quad\Longrightarrow\quad \Gamma_d = -\frac{dT}{dz} = \frac{g}{c_p} = \frac{9.81}{1005} \approx 9.8 \text{ K/km}$$
$$c_p\,dT + g\,dz + L_v\,dw_s = 0$$
$$x = T - T_0 + k \ln\!\left(\frac{p_0}{p}\right), \qquad y = -\ln\!\left(\frac{p}{p_0}\right)$$

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...