Ordinary Cells: Theory

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Presentation transcript:

Ordinary Cells: Theory Richard Rotunno National Center for Atmospheric Research, USA Photo by Alice Rotunno

Ordinary Cell Evolution

Ordinary Cell Evolution

Basic Concept #1 Buoyancy Archimedes Displacement = density “env” = environment “par” = parcel

Buoyancy in Terms of Temperature Gas Law  Displacement T = temperature p = pressure Rd = dry air gas constant

Basic Concept #2 Stability

Air Parcel Behavior in a Stable Atmosphere Temperature

Air Parcel Behavior in a Stable Atmosphere Temperature

Basic Concept #3 Phase Change of H2O  Latent Heating (Cooling)

Air Parcel Behavior in a Dry, Stable Atmosphere Temperature

Air Parcel Behavior in an Moist, Unstable Atmosphere Temperature

Air Parcel Behavior in an Moist, Unstable Atmosphere Temperature

Skew T – Log P Diagram Moist Adiabats Dry Adiabats Mixing Ratio (g/kg)

Skew T – Log P Diagram Dry Adiabats

Skew T – Log P Diagram Moist Adiabats

Skew T – Log P Diagram Convective Inhibition(CIN)

(Maximum updrafts: 60-80 m/s) Buoyancy > 0 (Maximum updrafts: 60-80 m/s)

Skew T – Log P Diagram Cold Outflow Produced thru Evaporation… Evaporate Rain into Parcel at p=600mb Descent along Moist Adiabat

(Maximum downdrafts: 30-40 m/s) Buoyancy < 0 (Maximum downdrafts: 30-40 m/s)

Basic Concept #4 Buoyancy Produces Vertical and Horizontal Motion

Newtons 2nd Law pressure variable

Newtons 2nd Law Vertical component

Newtons 2nd Law Vertical component High Low Large horizontal scale  Hydrostatic Balance

Newtons 2nd Law Vertical component Small horizontal scale  Parcel Limit

Vorticity Thinking

Vorticity Thinking Restrict to two-dimensional motion

Vorticity Thinking Vorticity Induces Velocity continuity 

Vorticity Thinking Buoyancy Produces Motion

Vorticity Thinking Buoyancy Produces Motion

Vorticity Thinking Effect of horizontal scale

Density Currents

Vorticity Thinking Density Currents ground Image Vorticity

3 Latent Heating (Cooling) Summary of Basic Concepts 1 Buoyancy 2 Stability 3 Latent Heating (Cooling) 4 Vorticity Thinking