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Stokes' Law Drag Calculator — result sheet
Estimate the low-speed viscous drag on a small spherical particle moving through a fluid.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Fᵥ = 6πηrv; viscous resistance coefficient = 6πηr; drag power = Fᵥv.
Stokes' law gives the linear viscous drag on a small sphere when the surrounding flow is slow enough for the low-Reynolds-number approximation.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Sphere radius — m; minimum 1.0E-9; maximum 1000000
- Dynamic viscosity — Pa·s; minimum 1.0E-6; maximum 1000000
- Sphere speed — m/s; minimum 0; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Sphere radius | 0.001 |
| Dynamic viscosity | 0.001 |
| Sphere speed | 0.01 |
The viscous drag is about 1.88×10⁻⁷ N and the ideal drag power is about 1.88×10⁻⁹ W.
Assumptions and limits
- The object is spherical and moves steadily through a quiescent Newtonian fluid.
- The motion is in the creeping-flow regime where inertial and wall effects are negligible.
- Particle interactions, gravity, buoyancy, turbulence, slip, and settling equilibrium are not inferred.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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