ONE FORMULA, ONE ANSWER
Stokes Particle Terminal Velocity Calculator
Calculate terminal velocity of a small sphere in creeping flow. Choose input units and calculate one value within the stated conditions.
Inputs
Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.
Result
Terminal velocity positive downward v_t
Enter values and select Calculate.
v_t = (ρ_p−ρ_f)gd²/(18μ)
Assumptions
Required: positive inputs, a spherical particle, Newtonian fluid, steady creeping flow and negligible walls. Input diameter, not radius. Rising particles have negative velocity. This app requires computed particle Re<0.1.
Displayed values are floating-point approximations. Design safety factors and unprovided error contributions are not calculated.
Formula references and credits
NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.
Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.
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