Temperature

 

Contents

1. Introduction

2. Related Material

3. Instrumentation

4. Local Charts

instrumentation
Installing Temperature & Relative Humidity Sensor at Coal Oil Point;
Photo by Meri Marsh; May 25, 2007

 

1. INTRODUCTION

1.1 DEFINITION

Definition:
 

 

1.2 KEY FACTS

   
Why is it important?
  • Temperature is a fundamental control on most biological processes
    • Photosynthesis (Peak photosynthesis occurs at intermed. temperatures )
    • Respiration & Decomposition (Respiration increases with increasing temperature)
    • Enzyme activity & Growth
  • Temperature is a fundamental limiting factor on organisms
    • Maximum temperatures
    • Minimum temperatures (Freezing)
  • Temperature is a fundamental control on many physical/chemical processes
    • Weathering (Weathering rates are highest for moist, warm conditions)
    • Evapotranspiration

       

relevance
Peter Halasz, 3/3/07 with adaptions by Dar Roberts 3/20/08. Original image published at: http://en.wikipedia.org/wiki/Image:Lifezones_Pengo.svg This file is licensed under the Creative Commons Attribution ShareAlike license versions 2.5, 2.0, and 1.0


Holdridge Life Zone Concept (figure above)

  • Moisture and Temperature control community distributions
  • Temperature and Insolation control Potential Evapotranspiration

 

 

 

 

Additional Information :

  • Expressions of Temperature
    • Tk: Kinetic temperature. Temperature of an object due to molecular motion. The same temperature you would get by sticking a thermometer into something
    • Tr: Radiant temperature. Temperature retrieved based on radiant energy emitted by an object.
    • Tc: Color temperature. Temperature retrieved based on the peak wavelength of emission.
  • Air temperature
    • Measure of the average kinetic energy of air molecules, usually referring to the quantity that would be measured by a thermometer exposed to the air but sheltered from direct solar radiation. Surface air temperature is usually measured at a standard height of either 1.5 or 2 meters above the ground (Ahrens 2007).
  • Units of Temperature
    • Fahrenheit
      Linked to a freezing temperature of 32 F and boiling temperature of 212 F
    • Celsius
      Linked to a freezing temperature for water of 0 C and boiling temperature of 100 C
    • Kelvin
      Absolute temperature scale
  • Conversions
    • C = (F-32)*5/9
    • K = C+273.16

 

 

2. RELATED MATERIAL

2.1 IMPORTANT PHYSICAL CONSTANTS

Important Physical Constants:

 


  • Specific Heat
  • Volumetric Heat Capacity


Both are temperature and pressure dependent.

Specific Heat (Cs):
The amount of energy required to raise 1 kg of an object one K.

Water: Cs = 4.1868x10^3 J kg-1 K-1
Dry air: Cs = 1.0x10^3 J kg-1 K-1

Specific Heat is important because:

  • Dry materials have a lower specific heat, and thus change temperature more readily
  • Moist or wet materials have a higher specific heat and thus change temperature less readily
  • This is a major factor governing temperature variation between coastal and continental regions
  • This is a major factor modifying temperature variation in the atmosphere, with higher humidity resulting in less variable air temperatures

Volumetric Heat Capacity (Cv):
Defined as the amount of heat required to raise a unit volume of a substance 1 K.


Cv=ρ Cs
Cv = Volumetric Heat Capacity (J m-3 K-1)
ρ = density (kg/m3)
Cs = Specific Heat


Typical values
Water: Cv = 4.1868x10^3 J kg-1 K-1*1000 kg/m3=4.1868x10^6 J m-3 K-1

Dry air: Cv = 1.0x10^3 J kg-1 K-1*1.25 kg/m3=1.25x10^3 J m-3 K-1

 

 

2.2 TEMPERATURE STRUCTURE OF THE ATMOSPHERE

 

Temperature Structure of the Atmosphere:

 

 

 

  • Atmospheric structure is largely governed by temperature
  • Radiation is the dominant process modifying temperature
  • Key layers include the troposphere & stratosphere
  • Adiabatic processes dominate in the lower troposphere

 


g
(Copyright NWS, http://www.srh.noaa.gov/jetstream/atmos/layers.htm)

Adiabatic Process

Adiabatic Process:

A change in the temperature of a parcel of air without a change in heat content.

Importance:
Governs the level in the atmosphere where condensation occurs (cloud base height)
Governs changes in temperature with elevation

  • Recall PV=nRT
    • p(z)γ-1/T(z)γ = constant
    • γ = 1.4
  • Dry Adiabatic Lapse Rate (DAR)
    • 9.8 C/1000 m
    • Derived by combining the hydrostatic equation with the ideal gas law
  • Moist Adiabatic Lapse Rate (MAR)
    • Varies between 3 and 9.78 C/1000 m depending on humidit

Atmospheric Stability

Atmospheric Stability:
  • Determined by the rate of vertical temperature change relative to adiabatic cooling
  • Four basic conditions exist
    • Inversion: Temperature increases with height
    • Stable: Temperature decreases at a lower rate than the adiabatic rate
    • Neutral: Temperature decreases at the adiabatic rate
    • Unstable: Temperature decreases faster than the adiabatic rate
  • Unstable conditions promote vertical mixing.
  • Stable conditions or inversion restrict vertical mixing

s

 

 

2.3 TEMPERATURE PATTERNS OF THE LOWER ATMOSPHERE

Temperature Patterns of the Lower Atmosphere

Unstable

  • Vandenberg Radiosonde
  • Air temperature decreases more rapidly with height than the DAR
  • Unstable conditions are shown to the right. This condition is rare in Santa Barbara
  • As a parcel rises it cools slower than the environment, rising faster
Inversion
  • Vandenberg Radiosonde
  • Air temperature increases with increased height
  • Inversions are common in Santa Barbara
  • Parcels are trapped in the lower atmosphere. Traps atmospheric pollutants and promotes the development of fog

j
Data Access: http://weather.uwyo.edu/upperair/sounding.html
Historical data from Park Williams

d
Data Access: http://weather.uwyo.edu/upperair/sounding.html
Historical data from Park Williams

 

 

2.4 DIURNAL PATTERNS IN AIR TEMPERATURE

Diurnal Patterns in Air
Temperature :

 


  • Generally follows insolation
  • Lapse conditions during the day
  • Inversions at night
  • Significant lags in the afternoon
h

 

2.5 THE PLANETARY BOUNDARY LAYER

The Planetary Boundary Layer:

  • Describes the interface between the lower atmosphere and surface
  • Commonly expressed as a change and wind velocity due to surface friction
  • Modifies the exchange of moisture, trace gasses and heat between the surface and atmosphere
  • Can be modeled using a Logarithmic Wind Speed Profile
    U(z) = u**ln[(z-d)/z0]/k
    • u* = friction velocity m/sec
    • z = height (m)
    • d = zero plane displacement height
    • k = Von Karmen’s constant (0.4)
  • Key Point: Rough surfaces promote vertical mixing
  • Unstable conditions promote vertical mixing. Stable conditions depress vertical mixing. Stability modifies the wind speed profile, making surfaces look “rougher” or “smoother”.
ss

 

2.6 TYPICAL AERODYNAMIC CONSTANTS

Typical Aerodynamic Constants:

 


d = ~0.6h, where h = height (m)
z =~ 0.02h
Table values derived from Oke, Boundary Layer Climates, 1987 pg 57

typical aerodynamic constants

 

2.7 MODELED VERTICAL TEMPERATURE PATTERNS

Aerodynamic Temperature:

 

  • Describes vertical temperature change across an atmospheric boundary layer
  • T(z)= T(0) – H/(0.4*pCp*u*)*ln[(z-d)/zh]
  • Where
    • T(z) = Temperature at height z
    • T(0) = Aerodynamic surface temperature (at d+zh)
    • H = Sensible Heat Flux (W m-2)
    • pCp = Volumetric heat capacity of air (1205 J m-3 C-1 at 15 C)
    • u* = friction velocity
    • zh = roughness length to sensible heat flux
    • d = zero plane displacement height

Modeled Vertical Temperature Patterns

aerodynamictemperature

(See figure above)

T(z) = T(0) –constant*ln[(z-d)/zh]
Y = mx+b
Constant = H/(0.4*pCp*u*)

Conifer (z0=3, d=15 m)
Crop (z0=0.3, d=1.5 m)
Grass (z0=0.06, d=0.3 m)
Soil (z0=0.01, d=0m)
When H negative (sensible heat flux away from the surface), air temperature decreases with increased height.
The pattern of decrease follows a log profile

 

2.8 AERODYNAMIC SURFACE TEMPERATURE & RADIOMETER MEASUREMENT

Aerodynamic Surface Temperature and Radiometer Measurement:

 

  • Aerodynamic Temperature at COPR
    T(d+z0) = T(75)-slope*ln[(75-60)/2]
    s lope = (T285-T75)/[ln[(75-60)/2)-ln[(285-60)/2]
    T(75) = Air Temperature at 75 cm sensor
    T(285) = Air Temperature at 285 cm
    d = 60 cm, z0=2 cm for a 1 m canopy

    Compared to T(0) from the net radiometer
    T(K) = [LWup/(σ*0.98)]0.25

  • Generally good to 15 C
  • Under-predicts surface temperature at high temperatures
    Why? Recall d & zh

 

h

 

2.9 GROWING DEGREE DAYS (THERMAL TIME):

Growing Degree Days (Thermal Time):

Numerous plant processes are temperature dependent

  • Net Primary Production (Gross - Maintenance)
    • Crop yields
    • Tree growth
  • Germination, flowering and fruiting
  • Ripening, Senescence
  • Pest development
Growing Degree Days (GDD)
  • Integral of average daily temperature above a base temperature
    GDD = Σi=1days[(Tmax-Tmin)/2-Tb)*Δ t
  • Typically calculated from weather data. Integral initialized from winter low.

 

3. INTRUMENTATION

3.1 HISTORICAL INSTRUMENTATION

Historical Instrumentation:

 

 

 


See: http://en.wikipedia.org/wiki/Galileo_thermometer
See: http://en.wikipedia.org/wiki/Mercury-in-glass_thermometer

historical instrumentation

 

3.2 INSTRUMENTATION

Instrumentation:

HMP45C Temperature & RH Probe (Airstrip)
Utilizes Platinum Resistance Thermometer (PRT) which works on the principle of temperature dependent resistance to electrical currents through a fine platinum wire. Shielded from direct insolation.
Measurement Range: -40°C to 60°C;
Accuracy: ±0.3°C (0° to +40°C), ±0.5°C (-40°C to +60°C)

CS215 Temperature & RH Probe (COPR & Lisque)
Digital CMOSens® element for combined temperature and relative humidity measurement.
Measurement Range: -40C° to +70°C
Accuracy: ±0.4°C (+5° to +40°C), ±0.9°C (-40°C to +70°C)

instrumentation

Installing Temperature & Relative Humidity Sensor at Coal Oil Point;
Photo by Meri Marsh; May 25, 2007

 

 

4. LOCAL TEMPERATURE CHARTS

4.1 LOCAL TEMPERATURE CHART

Example Chart:

 

 

 


Time: UTC
Units: °C

local temperature chart

 

 

 

Click here to see animations showing spatial and temporal patterns in air temperature.

 



 

 

 

 



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