Twelve Lectures on Cloud Physics

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Twelve Lectures on Cloud Physics Twelve Lectures on Cloud Physics Bjorn Stevens Winter Semester 2010-2011 Contents 1 Lecture 1: Clouds–An Overview3 1.1 Organization...........................................3 1.2 What is a cloud?.........................................3 1.3 Why are we interested in clouds?................................4 1.4 Cloud classification schemes..................................5 2 Lecture 2: Thermodynamic Basics6 2.1 Thermodynamics: A brief review................................6 2.2 Variables............................................8 2.3 Intensive, Extensive, and specific variables...........................8 2.3.1 Thermodynamic Coordinates..............................8 2.3.2 Composite Systems...................................8 2.3.3 The many variables of atmospheric thermodynamics.................8 2.4 Processes............................................ 10 2.5 Saturation............................................ 10 3 Lecture 3: Droplet Activation 11 3.1 Supersaturation over curved surfaces.............................. 12 3.2 Solute effects.......................................... 14 3.3 The Kohler¨ equation and its properties............................. 15 4 Lecture 4: Further Properties of an Isolated Drop 16 4.1 Diffusional growth....................................... 16 4.1.1 Temperature corrections................................ 18 4.1.2 Drop size effects on droplet growth.......................... 20 4.2 Terminal fall speeds of drops and droplets........................... 20 5 Lecture 5: Populations of Particles 22 5.1 Converting distribution and density functions......................... 23 5.2 Time derivatives of densities.................................. 24 5.3 Common distributions and their density functions....................... 25 1 6 Lecture 6: Collection through Collision and Coalescence 26 6.1 Gravitational collection..................................... 27 6.2 Smoluchowski (stochastic) collection equation......................... 28 6.3 The collection kernel...................................... 29 7 Lecture 7: Warm clouds and drop spectral evolution 31 7.1 Exogenous theories of warm rain................................ 31 7.1.1 Giant CCN....................................... 31 7.1.2 Drop spectral preconditioning............................. 32 7.2 Endogenous theories of warm rain............................... 32 7.2.1 Turbulence enhancement to collision efficiencies................... 32 7.2.2 Turbulent mixing.................................... 33 8 Lecture 8: Atmospheric ice and its initiation 34 8.1 The molecular structure of water and ice............................ 34 8.2 Ice initiation........................................... 36 8.2.1 Homogeneous nucleation................................ 36 8.2.2 Heterogeneous nucleation............................... 38 9 Lecture 9: Ice crystal growth 39 9.1 Diffusional growth theory.................................... 39 9.2 Ice crystal terminal fall speeds................................. 41 9.3 Growth by collection...................................... 42 9.4 Further ice-microphysical processes.............................. 42 10 Lecture 10: The atmospheric aerosol 42 10.1 Types of aerosol particles.................................... 43 10.2 Abundances........................................... 44 10.3 Aerosol Processes........................................ 46 10.4 Aerosol Function........................................ 46 11 Lecture 11: Microphysical models of cloud and aerosol 47 11.1 Particle based methods..................................... 47 11.2 Distribution based methods................................... 48 11.3 Parametric distributions..................................... 48 12 Lecture 12: Aerosol and cloud measurement systems 49 12.1 In situ Methods......................................... 49 12.1.1 Single particle sampling................................ 49 12.1.2 Expansion Chambers.................................. 49 12.1.3 Particle Counters.................................... 49 12.1.4 Particle Spectrometers................................. 49 12.2 Active remote sensing...................................... 49 12.2.1 Cloud and Precipitation Radars............................ 49 12.2.2 Lidars.......................................... 49 2 1 Lecture 1: Clouds–An Overview 1.1 Organization The important points to remember here are: the grade is based on the oral exam, the oral exam is based on the exercises. So working through the exercises is critical. The other important points are covered on the syllabus, or course Einleitung. 1.2 What is a cloud? When most people think of a cloud they know what it is, a white puffy thing in the sky. But when pushed to be precise it is more difficult. Formally speaking a cloud is an aerosol, that is a suspension of one phase of matter in another. The glossary of the American Meteorological Society defines an aerosol as follows: A colloidal system in which the dispersed phase is composed of either solid or liquid parti- cles, and in which the dispersion medium is some gas, usually air. A characteristic of an aerosol is that it is disperse. It is not one thing, but many things, or many repetitions of the same thing, dispersed in space. This makes the boundary of the aerosol, or a cloud, somewhat difficult to define objectively and precisely. But clouds are a special type of aerosol, so special in fact that we rarely speak of a cloud as being an aerosol. Clouds are a type of aerosol that comes into being when the atmosphere becomes supersaturated with respect to water, and cloud particles grow rapidly and become visibly apparent in a way that the aerosol in a subsaturated environment rarely is. This difference encourages the tendency to associate the atmospheric aerosol with only the smallest particles, traditionally those under 1 µ m, and the growing particles that are found in water saturated environments as clouds. This distinction encourages one to speak of clouds as singular, compact, entities in contrast to the disperse atmospheric aerosol. However a cloud’s origin as a component of the atmospheric aerosol lingers in attempts to define “a cloud” objectively. long lived, abundant , suspended short lived, precipitation Aerosol Cloud Precipitation Freshly Nucleated Cloud condensation Sea-salt & Aerosol Particles nuclei Mineral dust more complex Ice Crystals Snow flakes Graupel Hail Cloud droplets Drizzle droplets Rain drops 10-9 10-6 10-3 10-1 Diameter [m] 3.5 10-6 3.5 10-2 3.5 10 50 Fallspeed [ms-1] Figure 1: Types of particles in the atmosphere, organized by size. Note that many of the particles span a range of size, and only typical sizes are given to place one type of particle in relation to another. Particles are also ordered with respect to complexity. Liquid water droplets and drops tend to have the same shape and composition, the shape of ice varies making it more complex, for the aerosol but the composition and the shape/mixture state can be variable. The ability of the particles that constitute a cloud to grow in a supersaturated environment leads to a sequence of events that can grow particles sufficiently large to efficiently scatter light, and eventually so 3 large as to efficiently precipitate from the atmosphere. Cloud particles are hydrometeors, and a subset of these form precipitation–in German Niederschlag. The study of how cloud particles come into being, how their distribution effects the transfer of radiant energy, and how they transform themselves into precipitation is the subject of cloud physics. How hydrometeors fit into the broader class of particles that one finds in the atmosphere is illustrated in Fig.1. This figure emphasizes that the atmosphere suspends many forms of particulate matter. On scales of a few nanometers, one finds freshly nucleated aerosol particles, while hail stones have been documented to grow to sizes of tens of centimeters in diameter. Thus particles in the atmosphere span a range of sizes of as much as eight orders of magnitude and the mass of atmospheric particulate matter spans a range of scales that is more than twenty orders of magnitude. Small particles sediment with a terminal velocity that is proportional to their diameter squared, hence a factor of ten in diameter means a factor of one hundred in the time it takes a particle to settle and fall out of the sky. Very small particles effectively never fall from the sky, and are only removed by collisions with larger particles, or because they grow by other means to sizes large enough to effectively fall from the sky. While large particles are rare, as once form they rapidly precipitate to the surface. Clouds also get their meaning because we can see them, or we feel their presence through their emission of radiation which keeps the ground from cooling on a cloudy night. Hence an important part of what makes a cloud are its radiative properties, its propensity to scatter visible radiation and absorb and emit infrared radiation. The scattering of visible radiation depends both on the amount of suspended water mass, and the size of the suspended particles, while the efficacy of clouds in absorbing and emitting infrared radiation depends primarily on the suspended water mass. While the suspended water mass, sometimes called the liquid water path, is a cloud macroscopic parameter, largely controlled by dynamical processes, the characteristic drop size is a microphysical parameter and can be strongly influenced by cloud microphysical processes. 1.3 Why are we interested in clouds? Outside of poetic motivations
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