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Calculation of air properties

version 2.0.1 (29.7 KB) by SFitz
Calculates a variety of the thermodynamic properties of humid air.


Updated 18 Nov 2020

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Calculates a variety of air thermodynamic properties from the measured temperature, pressure, and humidity.

Variables able to calculated:
rho - [kg m^-3] - Density
mu - [N s m^-2] - Dynamic viscosity
k - [W m^-1 K^-1] - Thermal conductivity
c_p - [J kg^-1 K^-1] - Specific heat capacity (constant pressure)
c_v - [J kg^-1 K^-1] - Specific heat capacity (constant volume)
gamma - [1] - Ratio of specific heats
c - [m s^-1] - Speed of sound: c = (gamma*R*T/M)^0.5
nu - [m^2 s^-1] - Kinematic viscosity: nu = mu/rho
alpha - [m^2 s^-1] - Thermal diffusivity: alpha = k/(rho*c_p)
Pr - [1] - Prandtl number: Pr = mu*c_p/k
M - [kg mol^-1] - Molar mass of humid air
R - [J kg^-1 K^-1] - Specific gas constant
h - [%] - Relative humidity (if dew point inputted)

Calculations are based around atmospheric temperatures and pressures, i.e. not for the use of high temperature combustion. See references for details and limitations.

Picard, A, Davis, RS, Glaser, M, Fujii, K, 2008, 'Revised formula for the density of moist air (CIPM-2007)', Metrologia, vol. 45, no. 2, pp. 149-155. DOI:

Tsilingiris, P, 2008, 'Thermophysical and transport properties of humid air at temperature range between 0 and 100°C', Energy Conversion and Management, vol. 49, no. 5, pp.1098-1110. DOI:

Cite As

SFitz (2021). Calculation of air properties (, GitHub. Retrieved .

MATLAB Release Compatibility
Created with R2018a
Compatible with any release
Platform Compatibility
Windows macOS Linux

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To view or report issues in this GitHub add-on, visit the GitHub Repository.
To view or report issues in this GitHub add-on, visit the GitHub Repository.