Propane - Prandtl Number vs. Temperature and Pressure

Calculate the Prandtl Number for Propane based on temperature and pressure. The Prandtl number (Pr) is a dimensionless number approximating the ratio of momentum diffusivity (kinematic viscosity) to thermal diffusivity, commonly used in heat transfer and convection calculations. Calculated using: Pr = μ cp / k, where μ is dynamic viscosity, cp is specific heat, and k is thermal conductivity.

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Inputs

Results

Prandtl Number-- -
StateTemperature (K)Temperature (°C)Pressure (bara)Prandtl Number (-)
Gas231-4210.7857
Gas240-33.210.7760
Gas260-13.210.7621
Gas2806.910.7534
Gas30026.910.7492
Gas32046.910.7467
Gas34066.910.7458
Gas36086.910.7453
Gas40012710.7437
Gas50022710.7301
Gas300.0926.94100.8851
Gas32046.9100.8299
Gas34066.9100.8001
Gas36086.9100.7824
Gas400127100.7619
Gas500227100.7321
Gas500227500.8190
Supercritical phase400127501.305
Supercritical phase500227500.8190
Supercritical phase5002271001.085
Supercritical phase6003271000.8466
Supercritical phase7004271000.7417
Supercritical phase8005271000.6694

About Prandtl Number

The Prandtl Number (Pr) is a dimensionless number that approximates the ratio of:

  • Momentum diffusivity (kinematic viscosity) to thermal diffusivity

Formula

Pr = μ cp / k

Where:

  • μ = Absolute or dynamic viscosity (kg/(m·s))
  • cp = Specific heat (J/(kg·K))
  • k = Thermal conductivity (W/(m·K))

Applications

The Prandtl number is commonly used in:

  • Heat transfer calculations
  • Free and forced convection analysis
  • Thermal boundary layer studies
  • Fluid dynamics simulations

Propane Properties

For propane (C₃H₈), the Prandtl number varies with:

  • Temperature: Generally decreases with increasing temperature in the gas phase
  • Pressure: Shows more complex behavior, with values changing based on the thermodynamic state

The data provided covers propane in liquid, gas, and supercritical phases across a wide range of temperatures and pressures.