WOLFRAM SYSTEM MODELER

atmosphericData

Calculates the atmospheric properties at given geometric altitude

Wolfram Language

In[1]:=
SystemModel["Aircraft.Atmospheres.atmosphericData"]
Out[1]:=

Information

This function takes the geometric altitude as an input and returns the temperature, pressure, density, speed of sound and dynamic viscosity at the given geometric altitude.

The atmospheric properties are less complicated to calculate with respect to the geopotential altitude and therefore the geometric altitude is converted into geopotential altitude. Geopotential altitude takes the variation of gravity with altitude into account and its relation to geometric altitude is approximated by equation (19) in U.S. STANDARD ATMOSPHERE, 1976 [1]

The equations for temperature, pressure and density with respect to geopotential altitude are given in Reference [1] as equations (23), (33 a—b) and (42), respectively. Speed of sound and dynamic viscosity are functions of the obtained temperature, and they are given as equations (50) and (51) in Reference [1].

References

[1]  United States National Oceanic and Atmospheric Administration and United States Air Force. (1976).
      US standard atmosphere 1976 (Vol. 76, No. 1562). National Oceanic and Atmospheric Administration
      Available at: https://www.ngdc.noaa.gov/stp/space-weather/online-publications/miscellaneous/us-standard-atmosphere-1976.

Syntax

(T, p, rho, a, mu) = atmosphericData(h)

Inputs (1)

h

Type: Height (m)

Description: Height

Outputs (5)

T

Type: Temperature (K)

Description: Temperature

p

Type: Pressure (Pa)

Description: Pressure

rho

Type: Density (kg/m³)

Description: Density

a

Type: Velocity (m/s)

Description: Speed of sound

mu

Type: DynamicViscosity (Pa⋅s)

Description: Dynamic viscosity