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]:= |
| Out[1]= | ![]() |
Get the formula:
| In[2]:= |
| Out[2]= |
Use some values:
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| Out[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)