Stokes Law Calculator

Enter value and click on calculate. Result will be displayed.

Select calculator:

Acceleration of Gravity (g):

m/s²

Particle Diameter (d):

Density of Medium (ρ_m):

kg/m⁴

Particle Density (ρ_p):

kg/m³

Viscosity of Medium (µ):

kg/m-s

Fall or Settling Velocity (V_t):

m/s

Result:

A Stokes' Law Calculator is a tool used to determine the drag force acting on a small spherical particle moving through a fluid. It is based on Stokes' Law, which describes the resistance (drag) experienced by objects moving in a viscous fluid.

Why Use It?

A Stokes' Law Calculator helps in:

Fluid Mechanics: Understanding how small particles settle in liquids or gases.
Industrial Applications: Used in designing sedimentation tanks, ink formulations, and pollution control.
Scientific Research: Studying particle motion in environments like blood flow or atmospheric aerosols.

How Does It Work?

Stokes' Law is given by:

Fd = 6πηrv

Where:

Fd = Drag force (N)
η = Dynamic viscosity of the fluid (Pa·s)
r = Radius of the spherical particle (m)
v = Velocity of the particle (m/s)
π = Mathematical constant (~3.1416)

To use the calculator, you input the viscosity, particle size, and velocity, and it computes the drag force. Some calculators also estimate terminal velocity, where the gravitational force and drag force balance.

When to Use It?

Sedimentation Studies: Predicting how fast particles settle in liquids.
Aerosol Science: Understanding the motion of small particles in air.
Engineering Applications: Designing filtration systems or optimizing fluid transport.