Schmidt Number Calculator
Calculate the dimensionless Schmidt number, which represents the ratio of momentum diffusivity (kinematic viscosity) to mass diffusivity.
Sc = ν / D = μ / (ρ × D)
Formulas are based on NASA NTRS Schmidt Number (Sc = μ/(ρDm)) references.
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What is the Schmidt Number?
The Schmidt number (Sc) is a dimensionless number that defines the ratio of momentum diffusivity (kinematic viscosity) to molecular mass diffusivity. It is used in fluid mechanics and mass transfer to characterize fluid flows in which there are simultaneous momentum and mass diffusion convection processes.
Formula and Components
The Schmidt number can be calculated in two main ways: 1. Using kinematic viscosity (ν): Sc = ν / D 2. Using dynamic viscosity (μ) and density (ρ): Sc = μ / (ρ × D) Where D is the mass diffusivity (m²/s).
Interpreting Sc Values
When Sc < 1, mass diffusion occurs faster than momentum diffusion (e.g., in gases). When Sc > 1, momentum diffusion is more dominant (e.g., in liquids). If Sc is approximately 1, both transfer mechanisms happen at similar rates.
Frequently Asked Questions
What are the units of the Schmidt number?
The Schmidt number is a dimensionless quantity, so it has no units.
How does the Schmidt number differ in gases and liquids?
In gases, momentum and mass diffusivity are on the same order of magnitude, so Sc is typically between 0.5 and 2 (Sc ≈ 1). In liquids, viscosity is typically much higher than mass diffusivity, leading to Sc values ranging from 100 to 1000+ (Sc ≫ 1).
What does D (Mass Diffusivity) depend on?
Mass diffusivity depends on the specific properties of the chemical species in the mixture, as well as the temperature and pressure.
