Enter the kinematic viscosity (m^2/s) and the mass diffusivity (m^2/s) into the Calculator. The calculator will evaluate the Schmidt Number.
Schmidt Number Formula
Sc = v / Dc
Variables:
- Sc is the Schmidt Number ()
- v is the kinematic viscosity (m^2/s)
- Dc is the mass diffusivity (m^2/s)
To calculate the Schmidt Number, divide the kinematic viscosity by the mass diffusivity.
How to Calculate Schmidt Number?
The following steps outline how to calculate the Schmidt Number.
- First, determine the kinematic viscosity (m^2/s).
- Next, determine the mass diffusivity (m^2/s).
- Next, gather the formula from above = Sc = v / Dc.
- Finally, calculate the Schmidt Number.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
kinematic viscosity (m^2/s) = 200
mass diffusivity (m^2/s) = 1000
FAQs
What is the significance of the Schmidt Number in fluid dynamics?
The Schmidt Number (Sc) is a dimensionless number that describes the ratio of momentum diffusivity (kinematic viscosity) to mass diffusivity. It is significant in fluid dynamics as it helps in understanding the relative effect of these two diffusivities on the mixing and transport processes in a fluid flow.
How does the Schmidt Number affect mass transfer in fluids?
A higher Schmidt Number indicates that momentum diffusivity dominates over mass diffusivity, leading to slower mass transfer in comparison to momentum transfer. This is particularly important in processes where the control of mass transfer is crucial, such as in chemical reactors or in the design of separation units.
Can the Schmidt Number be used for gases as well as liquids?
Yes, the Schmidt Number is applicable to both gases and liquids. While the physical properties (kinematic viscosity and mass diffusivity) differ between gases and liquids, the concept of comparing momentum and mass diffusivity through the Schmidt Number is valid for both phases of matter.
How do temperature and pressure affect the Schmidt Number?
Temperature and pressure can significantly affect the kinematic viscosity and mass diffusivity, and thus the Schmidt Number. Generally, as temperature increases, the kinematic viscosity decreases and mass diffusivity increases, leading to a lower Schmidt Number. Pressure effects are more complex and depend on the specific gas or liquid and its phase behavior.
