Stanton number

Stanton, the dimensionless number is a measure of the relative intensity of the cooling by a heat transfer fluid to a wall / a body.

It can be construed as from other dimensionless quantities composed, namely as the ratio of the Nusselt number and the product of Reynolds and Prandtl number:

The Stanton number can be calculated using dimensional measures express and can thus be interpreted as the ratio of total heat passing over the convectively transported heat:


  • Heat transfer coefficient
  • Velocity of the flowing fluid
  • Density of the flowing fluid
  • Heat capacity of the flowing fluid
  • Heating rate
  • Volume of the body
  • Initial temperature of the environment ( ° C)
  • Initial temperature of the body (° C)
  • Surface of the body

Basically, the larger the Stanton number, the faster the process. A sample is added for example in an oven, then the temperature is raised in the furnace. At a low Stanton number, the temperature of the sample follows the furnace temperature slowly. In the case of a high Stanton number, the temperature of the sample quickly follows the furnace temperature. The temperature rise of the sample after a certain time passes linear (for high Stanton Number ) or infinite time (for low Stanton number).

Furthermore, the Stanton number can also be used to describe an oscillating processes. It is then (not for the heating rate ) is provided with the index for the angular frequency:


  • Angular frequency

Here, the sample would not be set in the above example in an oven, but are exposed to the outside temperature. The temperature profile of the sample, however, would now not be linear after a long time, but permanently oscillate.

  • Code ( Fluid Mechanics )
  • Code ( thermodynamics)