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Session 2, Unit 3 Atmospheric Thermodynamics

Session 2, Unit 3 Atmospheric Thermodynamics. Ideal Gas Law. Various forms. Hydrostatic Equation. Air density change with atmospheric pressure. First Law of Thermodynamics. For a body of unit mass dq=Differential increment of heat added to the body

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Session 2, Unit 3 Atmospheric Thermodynamics

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  1. Session 2, Unit 3Atmospheric Thermodynamics

  2. Ideal Gas Law • Various forms

  3. Hydrostatic Equation • Air density change with atmospheric pressure

  4. First Law of Thermodynamics • For a body of unit mass • dq=Differential increment of heat added to the body • dw=Differential element of work done by the body • du=Differential increase in internal energy of the body

  5. Heat Capacity • At constant volume • At constant pressure

  6. Heat Capacity • Relationships

  7. Concept of an Air Parcel • An air parcel of infinitesimal dimensions that is assumed to be • Thermally insulated – adiabatic • Same pressure as the environmental air at the same level – in hydrostatic equilibrium • Moving slowly – kinetic energy is a negligible fraction of its total energy

  8. Adiabatic Process • Reversible adiabatic process of air

  9. Lapse Rate • Combine hydrostatic equation and ideal gas law • For adiabatic process

  10. Lapse Rate • Therefore dT/dz is Dry Adiabatic Lapse Rate (DALR)

  11. Dry Adiabatic Lapse Rate • Dry adiabatic lapse rate (DALR) • Or on a unit mass basis • Or the expression in the textbook:

  12. Lapse Rate • Effect of moisture Because Wet adiabatic lapse rate < DALR(temperature decreases slower as air parcel rises) • Condensation

  13. Lapse Rate • Superadiabatic lapse rate (e.g., 12oC/km) • Subadiabatic lapse rate (e.g., 8oC/km) • Atmospheric lapse rate • Factors that change atmospheric temperature profile • Standard atmosphere(lapse rate ~ 6.49 oC/km or 3.56 oF/1000 ft)

  14. Potential Temperature • Current state: T, P • Adiabatically change to: To, Po • Set Po = 1000 mb, To is potential temperature  • If an air parcel is subject to only adiabatic transformation,  remains constant • Potential temperature gradient

  15. Session 2, Unit 4Turbulence and MixingAir Pollution Climatology

  16. Atmospheric Turbulence • Turbulent flows – irregular, random, and cannot be accurately predicted • Eddies (or swirls) – Macroscopic random fluctuations from the “average” flow • Thermal eddies • Convection • Mechanical eddies • Shear forces produced when air moves across a rough surface

  17. Lapse Rate and Stability • Neutral • Stable • Unstable

  18. Richardson Number and Stability • Stability parameter • Richardson number • Stable • Neutral • Unstable

  19. Stability Classification Schemes • Pasquill-Gifford Stability Classification • Determined based on • Surface wind • Insolation • Six classes: A through F • Turner’s Stability Classification • Determined based on • Wind speed • Net radiation index • Seven classes • Feasible to computerize

  20. Inversions • Definition • Types • Radiation inversion • Evaporation inversion • Advection inversion • Frontal inversion • Subsidence inversion • Fumigation

  21. Planetary Boundary Layer • Turbulent layer created by a drag on atmosphere by the earth’s surface • Also referred to as mixing height • Inversion may determine mixing height

  22. Planetary Boundary Layer • Neutral conditions • Mixing height • Increased wind speed and surface roughness cause higher h.

  23. Planetary Boundary Layer • Unstable conditions • Mixing height

  24. Planetary Boundary Layer • Stable conditions • Mixing height

  25. Surface Layer • Fluxes of momentum, heat, and moisture remain constant • About lower 10% of mixing layer

  26. Surface Layer • Monin-Obukhov length • Monin-Obukhov length and stability classes

  27. Surface Layer Wind Structure • Neutral air

  28. Surface Layer Wind Structure • Unstable and stable air

  29. Friction Velocity • Measurements of wind speed at multiple levels can be used to determine both u* and z0

  30. Power Law for Wind Profile • Wind profile power law • Value of p

  31. Estimation of Monin-Obukhov Length • For unstable air • For stable air • Bulk Richardson Number

  32. Air Pollution Climatology • Meteorology vs. climatology • Meteorological measurements and surveys • Pollution potential-low level inversion frequency in US

  33. Air Pollution Climatology • Mean maximum mixing height determined by • Morning temperature sounding • Maximum daytime temperature • DALR • Stability wind rose

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