User:Milton Beychok/Sandbox: Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Milton Beychok
No edit summary
imported>Milton Beychok
No edit summary
Line 1: Line 1:
{{Image|Lapse rates.png|right|292px|Diagram of the various lapse rates defining the change of atmospheric temperature with altitude.}}
{{Image|Lapse rates.png|right|292px|Diagram of the various lapse rates defining the change of atmospheric temperature with altitude.}}


The '''lapse rate''' (<sup> </sup><font style="vertical-align:-5%;"><math>\scriptstyle\Gamma</math></font><sup> </sup><sup> </sup>) refers to the change of an atmospheric variable with a change of altitude, the variable being [[temperature]] unless  specified otherwise (such as [[pressure]], [[Density (chemistry)|density]] or [[humidity]]).<ref>The lapse rate is often defined as the negative change of temperature with a change of altitude. That definition leads to statements such as "A positive lapse rate indicates cooling as height increases while a negative lapse rate indicates warming as height increases". That is counter-intuitive since lapse rates are usually expressed as a negative number (i.e., - 6.5 K/km) to indicate cooling with an increase of height.</ref> While usually applied to Earth's atmosphere, the concept of lapse rates can be extended to atmospheres (if any) that exist on other planets.
The '''lapse rate''' (<sup> </sup><font style="vertical-align:-5%;"><math>\scriptstyle\Gamma</math></font><sup> </sup><sup> </sup>) refers to the change of an atmospheric variable with a change of altitude, the variable being [[temperature]] unless  specified otherwise (such as [[pressure]], [[Density (chemistry)|density]] or [[humidity]]).<ref>The lapse rate is often defined as the negative change of temperature with a change of altitude. That definition leads to statements such as "A positive lapse rate indicates cooling as height increases while a negative lapse rate indicates warming as height increases". That is counter-intuitive since lapse rates are usually denoted as a negative number (i.e., - 6.5 K/km) to indicate cooling with an increase of height.</ref> While usually applied to Earth's atmosphere, the concept of lapse rates can be extended to atmospheres (if any) that exist on other planets.


Lapse rates are usually expressed as the amount of temperature change associated with a specified amount of altitude change, such as – 9.8 K per kilometre, – 0.0098 K per metre or the equivalent – 5.4 °F per 1000 feet. If the atmospheric air cools with increasing altitude, the lapse rate is expressed as a negative number. If the air heats with increasing altitude, the lapse rate is expressed as a positive number. In the lowest layer of the [[Earth's atmosphere], named the [[troposphere]], which extends from Earth's surface to an altitude of about 7 to 11 km (4 to 11 mi), the temperature of the atmospheric air usually cools.


The lapse rate is most often denoted by the Greek capital letter Gamma, <font style="vertical-align:-5%;"><math>\scriptstyle\Gamma</math></font> or Γ,<ref><font style="vertical-align:-5%;"><math>\scriptstyle\Gamma</math></font> is the LaTex rendition and Γ is the HTML rendition.</ref> but not always. For example, the [[U.S. Standard Atmosphere]] uses L<sub>b</sub> to denote lapse rates:<ref name=StdAtm>[http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19770009539_1977009539.pdf U.S. Standard Atmosphere, 1976] Scroll to pdf page 28 of 241 pdf pages.</ref>









Revision as of 18:05, 22 August 2009

(CC) Diagram: Milton Beychok
Diagram of the various lapse rates defining the change of atmospheric temperature with altitude.

The lapse rate ( ) refers to the change of an atmospheric variable with a change of altitude, the variable being temperature unless specified otherwise (such as pressure, density or humidity).[1] While usually applied to Earth's atmosphere, the concept of lapse rates can be extended to atmospheres (if any) that exist on other planets.

Lapse rates are usually expressed as the amount of temperature change associated with a specified amount of altitude change, such as – 9.8 K per kilometre, – 0.0098 K per metre or the equivalent – 5.4 °F per 1000 feet. If the atmospheric air cools with increasing altitude, the lapse rate is expressed as a negative number. If the air heats with increasing altitude, the lapse rate is expressed as a positive number. In the lowest layer of the [[Earth's atmosphere], named the troposphere, which extends from Earth's surface to an altitude of about 7 to 11 km (4 to 11 mi), the temperature of the atmospheric air usually cools.

The lapse rate is most often denoted by the Greek capital letter Gamma, or Γ,[2] but not always. For example, the U.S. Standard Atmosphere uses Lb to denote lapse rates:[3]








References

  1. The lapse rate is often defined as the negative change of temperature with a change of altitude. That definition leads to statements such as "A positive lapse rate indicates cooling as height increases while a negative lapse rate indicates warming as height increases". That is counter-intuitive since lapse rates are usually denoted as a negative number (i.e., - 6.5 K/km) to indicate cooling with an increase of height.
  2. is the LaTex rendition and Γ is the HTML rendition.
  3. U.S. Standard Atmosphere, 1976 Scroll to pdf page 28 of 241 pdf pages.

Hold items

  • Mark Zachary Jacobson (2005). Fundamentals of Atmospheric Modeling, 2nd. Cambridge University Press. ISBN 0-521-83970-X. </ref>
  • C. Donald Ahrens (2006). Meteorology Today, 8th. Brooks/Cole Publishing. ISBN 0-495-01162-2. </ref>