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Showing posts with label atmosphere. Show all posts
Showing posts with label atmosphere. Show all posts

Tuesday, May 17, 2016

Thermal Wind

            Thermal Wind is the vertical shear of the geostrophic wind cause by a horizontal temperature gradient—it “blows” parallel to the thickness contours, leaving low thickness to the left. The Thermal Wind Equation states that the vertically averaged shear of the geostrophic wind (within the layer between any two pressure surfaces) is related to the horizontal gradient of thickness of the layer, in the same manner in which geostrophic wind is related to geopotential height.
Expressed as a linear relationship between vertical wind shear of the geostrophic wind and the horizontal temperature gradient,
            In a barotropic atmosphere—where density is only a function of pressure—the slope of the isobaric surfaces are independent of temperature thus, the geostrophic wind doesn’t increase with height. In other words, there is a complete absence of the horizontal temperature (thickness) gradients such that on constant pressure surfaces. However, the slope of the isobaric surfaces and the speed of the geostrophic wind may vary from level to level due to those thickness variations.
            In an Equivalent Barotropic Atmosphere, isobars and isotherms, on a horizontal surface map, have the same shape.
            In a Baroclinic Atmosphere—where density is a function of both pressure and temperature—the height and thickness contours intersect such that the geostrophic wind exhibits a component normal to the isotherms (or thickness contours). In other words, the horizontal temperature gradients cause the thickness of the layers between isobaric surfaces to increase with higher temperatures. When multiple layers are stacked on each other the geostrophic wind and the slope of the isobaric surfaces increase with height.


Mass Continuity Equation

            The Continuity Equation, applied to the atmosphere, is simply a rendition of the principle of Conservation of Mass, stating that matter can neither be created nor destroyed. Yet implying that, again, for the atmosphere, the [constant] mass may be redistributed. However, air parcels expand and contract as they respond to pressure changes that may alter their volume in one of two ways: those that are associated with sounds waves and those which occur in association with hydrostatic pressure changes; granted that hydrostatic volume changes are only taken into account when the equation is expressed in (x, y, p) coordinates.

Absolute & Conditional Instability

Instability is a race to get cold between the parcel and the environment, and we want to environment to win. We could help the environment win by making the environment cool more slowly and / or make the parcel cool at a slower rate. The parcel method, for example, talks about the parcel being a hypothetical box that does not allow any transfer of heat in or out but, allows only adiabatic temperature changes.

The stability of the parcel is dependent on the parcel’s motion after a forced displacement. As the parcel undergoes adiabatic change, its temperature is compared to the surrounding environment to relate differences in density. If the parcel returns to its original position it is considered stable, whereas if the parcel continues moving away from its original position it is considered unstable. Moreover, if a parcel is displaced but remains at its new position it is considered neutral.

Due to the fact that density differences are affected by the differences between the adiabatic lapse rates and the environmental lapse rate, one may notice that absolute instability occurs when the environmental lapse rate (ГE) exceeds the dry adiabatic lapse rate (ГD) [i.e. ГE > ГD]. Whereas, absolute stability occurs when the environmental lapse rate (ГE) is less than the wet adiabatic lapse rate (ГW) [i.e. ГE < ГW]. However when the environmental lapse rate (ГE) falls between the wet adiabatic lapse rate (ГW) and the dry adiabatic lapse rate (ГD) [i.e. ГW < ГE < ГD] the atmosphere is considered conditionally unstable, as you can see from the picture below



On the other hand, especially with regard to the potential for severe storm development, another type of stability becomes important: potential instability. While, static stability (discussed above) considers what happens to a small parcel (box) of air when lifted or lowered while the surrounding air is kept in place, potential instability contemplates what happens when an entire layers of air are displaced upward [i.e. a mass of warm air displaced upward by the movement of a cold front].


Energy Cascade

Atmospheric waves may develop in layers of strong vertical wind shear. Like ocean waves, these too amplify and break generating smaller scale waves and eddies that become unstable (wave breaking). Through this progression of instabilities, kinetic energy may be extracted from the large-scale wind field, giving rise to a variety of small-scale motions that extend down the molecular scale—a process that inspired Richardson’s rhyme and resembles that of an energy cascade.


Energy cascades transfer energy from large (or small) scales of motion to the small (or large) scales. As indicated by the “drop in the bucket,” kinetic energy in the reservoir is transferred to smaller and smaller scales until it becomes indistinguishable from random molecular motions, becoming incorporated into the atmosphere’s reservoir of internal energy.

Wednesday, March 23, 2016

Wien's Displacement Law

Wien’s displacement law says that the wavelength of the maximum emitted radiation is inversely proportional to the absolute temperature (°K). In other words, hotter objects radiate more energy at shorter wavelengths than do cooler bodies at all wavelengths. This allows us to determine the temperature of other stars depending on its color. Something that glows blue hot is much warmer than one that glow red hot!






Atmospheric Stability and Instability


            Instability is a race to get cold between the parcel and the environment, and we want to environment to win. We could help the environment win by making the environment cool more slowly and / or make the parcel cool at a slower rate. The parcel method, for example, talks about the parcel being a hypothetical box that does not allow any transfer of heat in or out but, allows only adiabatic temperature changes.
The stability of the parcel is dependent on the parcel’s motion after a forced displacement. As the parcel undergoes adiabatic change, its temperature is compared to the surrounding environment to relate differences in density. If the parcel returns to its original position it is considered stable, whereas if the parcel continues moving away from its original position it is considered unstable. Moreover, if a parcel is displaced but remains at its new position it is considered neutral.

            Due to the fact that density differences are affected by the differences between the adiabatic lapse rates and the environmental lapse rate, one may notice that absolute instability occurs when the environmental lapse rate (ГE) exceeds the dry adiabatic lapse rate (ГD) [i.e. ГE > ГD]. Whereas, absolute stability occurs when the environmental lapse rate (ГE) is less than the wet adiabatic lapse rate (ГW) [i.e. ГE < ГW]. However when the environmental lapse rate (ГE) falls between the wet adiabatic lapse rate (ГW) and the dry adiabatic lapse rate (ГD) [i.e. ГW < ГE < ГD] the atmosphere is considered conditionally unstable, as you can see from the picture below.





            On the other hand, especially with regard to the potential for severe storm development, another type of stability becomes important: potential instability. While, static stability (discussed above) considers what happens to a small parcel (box) of air when lifted or lowered while the surrounding air is kept in place, potential instability contemplates what happens when an entire layers of air are displaced upward [i.e. a mass of warm air displaced upward by the movement of a cold front].



Friday, March 18, 2016

Physical Principles: Maintaining General Circulation

Understanding Weather and Climate (7th Edition) (MasteringMeteorology Series) by Edward AguadoJames E. Burt 

Physical Principles: The Coriolis Force

Understanding Weather and Climate (7th Edition) (MasteringMeteorology Series) 7th Edition by Edward Aguado (Author), James E. Burt (Author)

Physical Principles: The Hydrostatic Equation

Understanding Weather and Climate (7th Edition) (MasteringMeteorology Series) by Edward AguadoJames E. Burt.





   Hydrostatic Balance = if the net upwards force is equal to the downward force
     For an atmosphere in hydrostatic balance, the balance of forces in the vertical requires that…
   Or, the Hydrostatic Equation:
     The negative sign ensures that the pressure decreases with increasing height
     Because
 we can rearrange the hydrostatic equation to give…

   Above a fixed point on Earth…
     That is, the pressure at height z is equal to the weight of the air in the vertical column of unit cross-sectional are lying about that level.

Hydrostatic Equilibrium
   Pressure gradient force causes wind to flow from high to low pressure
   Air pressure rapidly decreases with altitude
   Gravity pulls all mass, including the atmosphere, downward.
   Hydrostatic Equilibrium = vertical pressure gradient force and the force of gravity are normally of nearly equal value and operate in opposite directions
     When, gravitational force = vertical pressure gradient force in magnitude à no vertical acceleration occurs
     When, gravitational force > vertical pressure gradient force à downward motion
When, gravitational force < vertical pressure gradient force à updrafts can develop that are associated with powerful thunderstorms

Focus on the Environment and Social Impacts: Owens Lake Dust Storms

Understanding Weather and Climate (7th Edition) (MasteringMeteorology Series) by Edward AguadoJames E. Burt

Physical Principles: The Nature of Radiation, Absorption, and Emission

Understanding Weather and Climate (7th Edition) (MasteringMeteorology Series) 7th Edition by Edward Aguado (Author), James E. Burt (Author)

Wednesday, July 22, 2015

Composition & Structure of the Atmosphere


Introduction
·       Meteorology = the study of the atmosphere and the processes (such as cloud formation, lightning and wind movement) that cause what we refer to as the “weather”
·       Weather is distinct from climate in that the former deals with the short-term phenomena and the latter with the characteristic long-term patterns.


The Atmosphere, Weather and Climate
·       Atmosphere = a mixture of gas molecules, small suspended particles of solid liquids, and falling precipitation. 
·       Climatology
o   Relies on averages taken over a number of years in order to gauge typical atmospheric conditions for locations across Earth’s surface.
o   Also want to know about variability of the weather elements.
o   Frequencies of occurrences of weather events (such as extreme heat, hail or lightning) are also aspects of climates.
o   Concerned with changes in Earth’s climate and the factors responsible for those changes.


Thickness of the Atmosphere
·       ­How high is the sky?
o   There is no definitive answer. However, because Earth’s atmosphere becomes thinner at higher altitudes, even at heights of several hundred kilometers above sea level, there is some air and, hence, an atmosphere. But we have no way to establish its upper boundary because there is no universally accepted definition of how much air in a given volume constitutes the presence of an atmosphere.
Horizontal Winds
Vertical Winds
-       Primary motion over large areas
-       Are typically hundreds to thousands of times greater than vertical wind speeds
-       Hardest to detect and forecast
-       Determine much of the atmospheric behavior


Composition of the Atmosphere
·       The atmosphere is composed of a mixture of invisible gases and a large number of suspended microscopic solid particles and water droplets.
·       Molecules
o   Molecules of gases can be exchanged between the atmosphere and the Earth’s surface by physical processes (i.e. volcanic eruptions) or by biological processes (i.e. plant and animal respiration).
o   Can be produced and destroyed by purely internal processes (i.e. chemical reactions between gases)
o   Steady State / Equilibrium Condition = input rate is equal to the output rate
o   Dynamic Equilibrium = molecules cycling in and out of the atmosphere
o   Residence Time = average length of time that individual molecules of a given substance remain in the atmosphere

·       Homosphere
o   The lowest 80 km (50 mi) of the atmosphere
o   Vertical motions are more important than gravitational settling thus processes (other than settling) under gravity must explain any variations present.
o   Reflects the homogenizing role of wind and other motions
o   Gases are often categorized as being permeant or variable, depending on whether or not their concentration is uniform.
§  Permanent Gases = found everywhere in nearly the same proportion.
§  Variable Gases = distribution is uneven in both time and space.
·       Heterosphere = layer of the atmosphere (above the homosphere) where gases segregate according to molecular weight
·       Permanent Gases
o   Make up more than 99% of the atmosphere
o   Nitrogen (most abundant gas)
§  78% of all permanent gasses volume or 75.5% of their mass
§  Largely unreactive
§  Occurs primarily as paired nitrogen atoms bonded together to form single molecules denoted N2
§  Isotopes = variants of an element with different neutron counts
o   Oxygen (second most abundant gas)
§  21% of the volume of the atmosphere and 23% of its mass
§  Crucial to the existence of virtually all forms of life
§  Dynamic Oxygen = paired oxygen atoms
o   Nitrogen + Oxygen = 99% of all permanent gases
·       Variable Gases
o   Water vapor (most abundant) is 1% of the total volume
§  Condenses to a liquid at relatively low levels in the homosphere
§  Not uniformly distributed with altitude—at higher altitudes, water vapor is even more rare
§  Hydrologic Cycle (water cycle)
§  Source of moisture to form clouds

§  Very effective absorber of energy emitted by the Earth’s surface (radiant energy) thus making it one of the “greenhouse gases”