Stokes Law Calculator is a physics/math calculator used to find the Acceleration of Gravity, Medium Viscosity, Medium Density, Particle Density, Particle Diameter, or Terminal Velocity quickly and easily.
Stokes Law describes the steady flow of a continuous stream of fluid that is incompressible and has negligible viscosity. It serves as the basis of the falling-sphere viscometer. In the viscometer, the fluid remains stationary in a vertical glass tube.
Features:
- Instant calculation
- Results are copyable to other apps
- Formulas are included as references
- Supports up to 16 decimal places
- Supports various units for each input
Stokes law states that at low velocities, the frictional force on a spherical body moving through a fluid at constant velocity is equal to 6π times the product of the velocity, the fluid viscosity, and the radius of the sphere. In short, the motion of a sphere through a viscous fluid is directly proportional to the velocity and radius of the sphere, as well as the viscosity of the fluid.
Formulas:
Fall or Settling Velocity:
Vt = gd² (ρp - ρm) / 18μ
Acceleration of Gravity:
g = 18μVt / d²(ρp - ρm)
Particle Diameter:
d = √(18μVt / g(ρp - ρm))
Density of Medium:
ρm = ρp - 18μVt / d²
Particle Density:
ρp = 18μVt / d² + ρm
Viscosity of Medium:
μ = gd²(ρp - ρm) / 18Vt
Where:
Vt = Fall or Settling Velocity,
g = Acceleration of Gravity,
d = Particle Diameter,
ρm = Density of Medium,
ρp = Particle Density,
μ = Viscosity of Medium.
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