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G109: 8. Atmospheric Stability 1 8. A TMOSPHERIC S TABILITY Reading Assignment: • A&B: Ch. 5 (p. 142-146) • Ch 6 (p. 160-168) • LM: Lab# 8 1. Lapse Rates Lapse rate: - rate at which temperature decreases with height. - in [K / km] or [°C / km] - a positive value indicates decrease of T with height • Troposphere - general decrease in T with height • Three types of lapse rates: a) ELR - Environmental Lapse Rate b) DALR - Dry Adiabatic Lapse Rate c) SALR - Saturated (wet) Adiabatic Lapse Rate a) Environmental Lapse Rate • Actual air T we measure: i.e. Observed air T at any height • Varies in space and with time • Upper air T sounding http://weather.unisys.com/upper_air/skew/skew_KILN.html LapseStability_CB_L 10/17/08 G109: 8. Atmospheric Stability 2 b) Dry Adiabatic Lapse Rate • Rate which a non-saturated air parcel cools as it rises • Rate: 2500 Height (m) 2000 1500 1000 500 0 0 5 10 15 20 25 Temperature (C) − 10 K − 1 K − 10 K = = 1000 m 100 m 1 km LapseStability_CB_L 10/17/08 G109: 8. Atmospheric Stability 3 Why does this decrease in T occur? • Adiabatic Process - a physical change of the state of the air parcel that does not involve exchange of energy with the air surrounding the air parcel. • Pressure and density decreases with height ⇒ As air parcel rises - expands & cools c) Saturated Adiabatic Lapse Rate • Air is saturated - condensation occurs ⇒ Release of latent heat of vaporization (LV) amount of energy (per mass) required to change the phase of a substance from liquid to gaseous – gas → liquid — energy release ⇒ Keeps the parcel warmer than it would otherwise ⇒ Decrease in T with height is not as great • Dependent on the amount of moisture in the atmosphere • More moisture in the atmosphere the greater will be ⇒ warmer the air will remain the release of LV • Range: LapseStability_CB_L 4 to More moisture 9 K km-1 Less moisture 10/17/08 G109: 8. Atmospheric Stability 4 1000 Height (m) 800 600 400 200 DALR SALR = 9 K/km SALR = 4 K/km 0 10 12 14 16 18 20 Temperature (C) • When air cools to the Tdew (saturation!), then convert from DALR to SALR • At base of clouds Tair = Tdew =Lifting condensation level 1200 Height (m) 1000 DALR SALR 800 600 400 200 0 8 10 12 14 16 18 20 Temperature (C) LapseStability_CB_L 10/17/08 G109: 8. Atmospheric Stability 5 2. Atmospheric Stability • Talked about air parcels moving up & down in the atmosphere but have not talked WHY Stability: Tendency of an air parcel to move vertically following an initial dislocation (up or down) Atmospheric stability is dependent on T and ρ • The thermal stratification of the air: vertical temperature profile, environmental lapse rate, ELR • To determine stability, vertical motions of air parcels are assumed to be adiabatic processes Principle: • Temperature differences between an air parcel and its surrounding lead to density differences and thus to buoyancy forces in upward (positive) or downward (negative) direction. Î Air warmer than its surroundings will tend to rise (because of its lower density) Î Air cooler than its surroundings will tend to sink (because of its greater density) Î Air at the same temperature as its surroundings will tend to remain at the same height (because there is no density difference) LapseStability_CB_L 10/17/08 G109: 8. Atmospheric Stability 6 In Practice: • Can use the lapse rates to determine: o Which direction the air will move? o How far the air will move? Method to determine stability: • Compare the environmental air T (given by the ELR) with the DALR or SALR • Start at a given point on the ELR (T for given height) • From that point, move upward, along the dry (or saturated) adiabat (i.e., draw a line with the slope of the DALR or the SALR) • If T on the adiabat is less than ELR - STABLE 2500 Height (m) 2000 1500 1000 500 0 0 5 10 15 20 25 Temperature (K) LapseStability_CB_L 10/17/08 G109: 8. Atmospheric Stability 7 • If T on the adiabat is greater than ELR - UNSTABLE 2500 Height (m) 2000 1500 1000 500 0 0 5 10 15 20 25 Temperature (K) • If T on the adiabat is same than ELR - Neutral 2500 Height (m) 2000 1500 1000 500 0 0 5 10 15 20 25 Temperature (K) LapseStability_CB_L 10/17/08 G109: 8. Atmospheric Stability 8 The atmosphere is considered neutral in this case. There is no tendency to enhance or suppress vertical motions. LapseStability_CB_L 10/17/08 G109: 8. Atmospheric Stability 9 The atmosphere is now stable. It acts to resist vertical motions, and restore displaced parcels of air to their original positions. LapseStability_CB_L 10/17/08 G109: 8. Atmospheric Stability 10 The air is unstable, and vertical motions are enhanced. Rising motions are very likely in such an atmosphere. LapseStability_CB_L 10/17/08 G109: 8. Atmospheric Stability 11 • At a particular height temperature on the ELR is Greater === ELR is less than the DALP • Temperature on the ELR is Less ==== ELR is greater than the DALP LapseStability_CB_L 10/17/08 G109: 8. Atmospheric Stability 12 Conditionally unstable or conditional instability: stable or unstable depends on whether the air is saturated or dry ELR is not normally just a simple line (see Lab 8) • Air pollution will get trapped under an inversion o Inversion - T increases with height o Lapse - T decrease with height LapseStability_CB_L 10/17/08 G109: 8. Atmospheric Stability 13 If there are unstable conditions and the air rises • Cools as it rises • May cool down to the dew point T • Condensation - clouds Where air sinks - warms up • T moves away from Tdew - so no clouds will form • Clear air LapseStability_CB_L 10/17/08 G109: 8. Atmospheric Stability 14 Problem: An air parcel at the surface is not saturated and has a Temperature of 30°C and Tdew=25°C. Assuming it moves adiabatically and the SALR is -8.5 °C km-1 what will the air T be at 3000 m? 4000 3500 Height (m) 3000 2500 2000 1500 1000 500 0 -5 0 5 10 15 20 25 30 35 Temperature (K) Air parcel will be at saturation when it is cooled to ___ With the DALR: What Height ?_____ Then the rate at which it cools is SALR LapseStability_CB_L 10/17/08 G109: 8. Atmospheric Stability 15 Factors which modify air's stability Enhanced instability - make air more unstable ⇒ more mixing 1. Intense solar heating • Warm air from below (free convection) accompanied by updraft to form clouds. • Summer day - cumulus clouds mid/late afternoon 2. Heating of an air mass from below as it traverses a warm surface 3. Forceful lifting a) Uplift over a mountain (orographic lifting): upward displacement → adiabatic cooling LapseStability_CB_L 10/17/08 G109: 8. Atmospheric Stability 16 b) Convergence e.g. low pressure system Plan view Side View Convergence - air lifted c) Frontal wedging - due to air ρ differences i) Stable air lifted ii) LapseStability_CB_L Unstable air lifted 10/17/08