Lapse Rate Model
Calculation of atmospheric parameters through a temperature gradient.
blockType: SubSystem
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Path in the library: |
Description
Block Lapse Rate Model implements formulas for calculating the parameters of a standard atmosphere: temperature, speed of sound, pressure and density of air.
Formulas for calculating the parameters of the troposphere:
Formulas for calculating the parameters of the tropopause (the beginning of the stratosphere):
where:
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— average sea level temperature, K;
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— air density at average sea level, kg/m3;
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— pressure at mean sea level, Pa;
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— geopotential height, m;
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— height of the troposphere, m;
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— temperature at altitude , To;
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— air density at altitude , kg/m3;
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— pressure at altitude , Pa;
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— the speed of sound at altitude , m/s;
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— temperature gradient along the geopotential height, K/m;
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— specific gas constant, J/kg⋅K;
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— the adiabatic index;
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— acceleration of gravity, m/s ^2 ^.
Block Lapse Rate Model it works in SI units.
Limitations
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Below the height of 0 m and above the height of the tropopause, the temperature and pressure values remain unchanged.
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The density and speed of sound are calculated using the ideal gas equation.
Ports
Entrance
h(m) is the geopotential height of
scalar | vector
Geopotential height, m.
Data type: Float64
Output
T(K) — temperature
scalar | vector
Temperature, K.
Data type: Float64
a (m/s) — speed of sound
scalar | vector
The speed of sound, m/s.
Data type: Float64
P (Pa) — pass pressure:q[<br>] scalar | vector
Pressure, Pa.
Data type: Float64
r (kg/m3) — air density
scalar | vector
Air density, kg/m3.
Data type: Float64
Parameters
Acceleration due to gravity (m/s^2) — acceleration of free fall
9.80665 (default) | scalar
Acceleration of gravity, m/s 2. The default value is the acceleration of gravity at mean sea level.
Ratio of specific heats — pass adiabatic score:q[<br>] 1.4 (default) | scalar
The adiabatic index.
Characteristic gas constant (J/Kg/K) — specific gas constant
287.0531 (default) | scalar
Specific gas constant, J/kg⋅K.
Lapse rate (K/m) — temperature gradient
0.0065 (default) | scalar
The temperature gradient along the geopotential height, K/m.
Height of troposphere (m) — height of troposphere
11000.0 (default) | scalar
The height of the troposphere, m.
Height of tropopause (m) — height of tropopause
20000.0 (default) | scalar
Height of the tropopause, m.
Air density at mean sea level (Kg/m^3) — air density at mean sea level
1.225 (default) | scalar
Air density at average sea level, kg/m 3.
Ambient pressure at mean sea level (N/m^2) — pressure at mean sea level
101325.0 (default) | scalar
Pressure at mean sea level, N/m2 (Pa).
Ambient temperature at mean sea level (K) — temperature at mean sea level
288.15 (default) | scalar
Average sea level temperature, K.
Lowest altitude (m) — the lowest height of the pass layer:q[<br>] 0.0 (default) | scalar
The height corresponding to the beginning of the layer, m. The value should be less than the height of the tropopause.