Static Stability Stability in the Atmosphere
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MTO 412E Physics of Cloud and Precipitation Objectives • Be able to provide the definition of stability Static Stability and Cloud • Be able to describe the two methods by Development which air is displace • Be able to identify the types of clouds that form during either forced ascent or auto - convective ascent • Be able to determine if the atmosphere is potentially unstable Static Stability and Environmental Lapse Why is stability important? Rate (ELR) • Vertical motions in the atmosphere are a critical • Static Stability part of energy transport and strongly influence the • Absolutely Unstable Air hydrologic cycle • Absolutely Stable Air • Without vertical motion, there would be no precipitation, no mixing of pollutants away from • Conditionally Unstable Air ground level - weather as we know it would simply not exist. • There are two types of vertical motion: – forced motion such as forcing air up over a hill, over colder air, or from horizontal convergence – buoyant motion in which the air rises because it is less dense than its surroundings - stability is especially important here Static Stability Stability in the atmosphere • Static stability – The air’s susceptibility to lift. – Unstable – Air will continue to rise if given an initial upwards push – Stable – Air resists the upward displacement An Initial Stable Unstable Neutral and sinks back to original level. Perturbation – Neutral – Air will neither rise on its own or sink back to its original level. If an air parcel is displaced from its original height it can: Return to its original height - Stable Accelerate upward because it is buoyant - Unstable Stay at the place to which it was displaced - Neutral 1 uoyancy Buoyancy Static Stability is Related to Buoyancy Parcel of Air • An air parcel rises in the atmosphere when it’s density is Less dense Than Surrounding Air: Positive Buoyancy less than its surroundings Tends to Rise (Warmer) • Let env be the density of the environment. From the More dense Than Surrounding Air: Negative Buoyancy Equation of State/Ideal Gas Law Tends to Sink if Not Lifted(Colder) env = P/ RT env A Rising Parcel of Air • Let parcel be the density of an air parcel. Then Stops Rising When It Cools to Surrounding Air parcel = P/ RT parcel • Since both the parcel and the environment at the same Sinks When It Becomes Colder Than Surrounding Air height are at the same pressure This Suppresses Uplift – when Tparcel > Tenv parcel < env (positive buoyancy ) – when Tparcel < Tenv parcel > env (negative buoyancy ) Rising Air What is lapse rate? Cools The lapse rate is the change of temperature • The lapse rate is the change of temperature with • Rising air with altitude. parcels expand height in the atmosphere • Work done by The atmospheric dry • There are two kinds of lapse rates: adiabatic air molecules in – Environmental Lapse Rate the parcel lapse rate is ~ • What you would measure with a weather balloon pushing 5.4 F/1000 ft outward or – Parcel Lapse Rate consumes 10 C/1000 m • The change of temperature that an air parcel would experience energy and when it is displaced vertically The actual, • This is assumed to be an adiabatic process (i.e ., no heat lowers the environmental lapse parcel rate may be greater exchange occurs across parcel boundary) temperature or smaller than this Lapse Rates Trading Height for Heat Lifted Parcel of Air There are two kinds of “static” energy in the Cools at One of the Adiabatic Lapse Rates Air Around it Maintains Its Original Temperature Profile parcel: potential energy (due to its height) and enthalpy (due to the motions of the molecules Relative Density 1. Depends on Unsaturated or Saturated that make it up) DALP or SALP 2. Environmental Lapse Rate (ELP) S = c ∆ T +∆ gz Three Types of Static Stability p 1. Absolutely Unstable Air Change in Change in Change in 2. Absolutely Stable Air gravitational static energy enthalpy 3. Conditionally Stable Air potential energy 2 Trading Height for Heat (cont’d) • Suppose a parcel exchanges no energy with Lapse Rates its surroundings … we call this state adiabatic, meaning, “not gaining or losing • Dry adiabatic lapse rate (DALR) –Rate at which rising parcel of unsaturated air cools. (1.0°C/100 energy” 0 =c ∆ T + gz ∆ m) p • Saturated adiabatic lapse rate (SALR) - Rate at c∆ T =− gz ∆ which rising parcel of unsaturated air cools. p (0.5°C/100 m) ∆T g • Dew point lapse rate – Rate at which dew point = − decreases with height. (0.2°C/100 m) ∆z c p • Environmental lapse rate (ELR) – Vertical change in temperature profile through still air. .)ry adiabatic lapse rate” Lapse Rates Lapse Rates • Difference between ELR and DALR/SALR Stability and the Reversible Process dry adiabatic lapse rate • Atmospheric stability depends on the environmental lapse rate – A rising unsaturated air parcel cools according to the dry adiabatic lapse rate – If this air parcel is • warmer than surrounding air it is less dense and buoyancy accelerates the parcel upward • colder than surrounding air it is more dense and buoyancy forces oppose the rising motion 3 A saturated rising air parcel cools Stability and the less than an moist adiabatic lapse rate • Atmospheric stability unsaturated parcel depends on the environmental lapse rate • If a rising air parcel becomes saturated condensation – A rising saturated air parcel cools according to the moist occurs adiabatic lapse rate • Condensation warms the air parcel due to the – When the environmental lapse release of latent heat rate is smaller than the moist adiabatic lapse rate, the • So, a rising parcel cools less if it is saturated atmosphere is termed dry absolutely stable • Define a moist adiabatic lapse rate • Recall that the dry adiabatic – ~ 6 C/1000 m lapse rate is larger than the – Not constant (varies from ~ 3 -9 C) moist – depends on T and P – What types of clouds do you expect to form if saturated air is forced to rise in an absolutely stable atmosphere? 0actors Influencing the Heating or Cooling of the Lower Environmental Lapse Rate Atmosphere The Average Environmental Lapse Rate (ELR) -0.65 °C / 100 meters ( -6.5 °C / km) Highly Variable in Space and Time Both Surface Air Temperature Vertical Temperature Profile Influences 1. Heating or Cooling of the Lower Atmosphere. Atmosphere Is Heated From the Surface 2. Advection of Cold or Warm Air at Different Levels. ELR Is Steeper (More Change in Temperature) at Mid -day 3. Advection of a Different Air Mass with a Different ELR. Greatest on Clear Days Least at Night Inversion - If Air at Surface Gets Colder Than Aloft Positive ELR Advection of Cold or Warm Air at Advection of a Different Air Mass Different Levels with a Different ELR Air Mass Large Area Distinguished From Its Neighbors by Differences i n Advection or Wind Can Be Different at the Surface From That Alof t 1. Temperature ELR Can Be Different If Winds Are Different 2. Water Content (Humidity) Example Same Direction: -0.5°c/100m Maintain Their Identity (1 & 2) Perpendicular : -1.0°c/100m Air Masses Can Migrate Into Other Large Areas Changing ELR Idealized Example As Winds Gradually Change With Height (A takes the place of B) Seen by Cloud Movement 4 Limitations on Lifting Unstable Air Advection of Cold and Warm Air Stable Unstable Unstable Air Can Not Lift Forever Braking Mechanisms 1. Ascent Into Layer of Stable Air 2. Entrainment (Advection of Warmer Air) Advection of Cold and Warm Air Static Stability Static Stability Air’s Susceptibility to Uplift. Statically Unstable Air Continues to Rise If Given an Initial Upward Push Statically Stable Air Resists Upward Displacement and Sinks Back to Original Level Statically Neutral Air Will not Rise or Sink After Its Initial Upward Push Comes to Rest Where It was Displaced Stability Psychological Instability • Psychological Stability • Results From Stress • Meteorological Stability – Too many Exams – Too Much Homework – Poor Grades – Too Much Alcohol • Example 5 Meteorological Stability Stability • The ability of the air to return to its origin • Depends on the after displacement thermal structure of the atmosphere Stability Stable • Can be classified into 3 categories • Returns to original position after – Stable displacement – Neutral – Unstable Neutral Unstable • Remains in new position after being • Moves farther away from its original displaced position 6 Stability Forced Ascent • How is air displaced? • Some mechanism forces air aloft – Two methods – Usually synoptic scale feature 1.) Forced Ascent 2.) Auto -Convective Ascent Cold air Warm air Cool Air Forced Ascent Auto-Convective Ascent • Type of clouds • Air becomes buoyant – Depends on stability by contact with warm ground – Usually microscale or mesoscale Stable - Stratus Unstable - Cumulus Cool Hot Cool Auto-Convective Ascent Parcel Theory • Type of Clouds • Assumptions T ,P T ,P – Cumulus – Thermally insulated from its e p environment – Temperature changes w adiabatically – Always at the same pressure as the environment at that level 7 Parcel Theory Stability • Assumptions • As parcel rises T ,P T ,P – Hydrostatic equilibrium e p 1.) Parcel Temperature – Moving slow enough that its Changes kinetic energy is a negligible w • Unsaturated? – Dry Adiabatic Lapse Rate Stability Stability Pseudo - Adiabat Mixing Ratio line • As parcel rises 4 1.) Parcel Temperature Unsaturated Changes 3 Parcel • Saturated? Temperature 2 – Pseudoadiabatic Lapse Dry Rate 1 Adiabat Height (km) Height Height (km) Height 0 -20 -10 0 10 20 Temperature (°C) Stability Stability Pseudo - Adiabat Mixing Ratio line • As parcel rises 4 2.) Environmental Saturated