Prandtl Number Using Thermal Diffusivity
The Prandtl number is a dimensionless number defined as the ratio of momentum diffusivity to thermal diffusivity.
The Prandtl number equals the kinematic viscosity divided by the thermal diffusivity.
Formula
![Copy to Clipboard QuantityVariable["Pr", "PrandtlNumberHeatTransfer"] == QuantityVariable["ν", "KinematicViscosity"]/QuantityVariable["α", "ThermalDiffusivity"]](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/7e8/7e8c2f24-03d8-4044-a757-c0de6c98b9a6/Webpage/FormulaImage.png)
| symbol | description | physical quantity | 
|---|---|---|
| Pr | Prandtl number for heat transfer | "PrandtlNumberHeatTransfer" | 
| α | thermal diffusivity | "ThermalDiffusivity" | 
| ν | kinematic viscosity | "KinematicViscosity" | 
Forms
Examples
Get the resource:
| In[1]:= | ![ResourceObject["Prandtl Number Using Thermal Diffusivity"]](images/7e8/7e8c2f24-03d8-4044-a757-c0de6c98b9a6-io-1-i.en.gif) | 
| Out[1]= |  | 
Get the formula:
| In[2]:= | ![FormulaData[
 ResourceObject["Prandtl Number Using Thermal Diffusivity"]]](images/7e8/7e8c2f24-03d8-4044-a757-c0de6c98b9a6-io-2-i.en.gif) | 
| Out[2]= |  | 
Use some values:
| In[3]:= | ![FormulaData[
 ResourceObject[
  "Prandtl Number Using Thermal Diffusivity"], {QuantityVariable[
   "\[Nu]","KinematicViscosity"] -> 
   Quantity[1, ("Meters")^2/("Seconds")], 
  QuantityVariable["Pr","PrandtlNumberHeatTransfer"] -> 0.001`}]](images/7e8/7e8c2f24-03d8-4044-a757-c0de6c98b9a6-io-3-i.en.gif) | 
| Out[3]= |  | 
 
                 
                