• Pixel-art sticker of Viscosa, personifying Viscosity, with the caption “Thick Flow, Slow Flow.”

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Viscosa

Viscosity Physics

\[F = 6\pi\eta r v\]
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Meet Viscosa, a drop of honey who takes her time because she is thick. Viscosity is a fluid's resistance to flowing, its internal friction, and honey is thousands of times more viscous than water. Stokes showed in 1851 how it drags on a small sphere. Pixel-art kiss-cut sticker in 2, 3, 4 and 6 inches; equation, symbols and sources in the physics panel below.

Size
Surface

Flat $6 shipping worldwideMade to order, ships in 2–5 business days

Details

Size3″ × 3″

3″ × 3″ kiss-cut sticker.

Shipping

Flat $6 shipping on every order, worldwide, whatever's in it.

Delivery times & where we ship

Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

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The physics

Meet Viscosa, a drop of honey who takes her time because she is thick.

Viscosity measures a fluid's resistance to flow, its internal friction. Layers of a flowing fluid slide past each other, and a viscous fluid resists that sliding strongly. Honey is thousands of times more viscous than water. For a small sphere moving slowly through a fluid, George Gabriel Stokes showed in 1851 that the drag force is F = 6πηrv.

Water at 20 °C has viscosity η ≈ 1.0 × 10⁻³ Pa·s. A sphere of radius 1 mm moving at 1 cm/s feels F = 6π × 0.001 × 0.001 × 0.01 ≈ 1.9 × 10⁻⁷ N. In honey the same motion would feel thousands of times more drag.

Viscosity matters in engine oil, paint, blood flow and the slow settling of sediment. Stokes' law is used to measure viscosity by timing falling balls, and to find the size of tiny particles from how fast they settle.

Stokes' law only works for slow, smooth flow. At higher speeds the flow becomes turbulent and drag grows faster. Viscosity also drops sharply when most liquids are warmed.

Equations

\[F = 6\pi\eta r v\]
Symbols
SymbolMeaningUnit
\(F\) drag force on the sphere \(\mathrm{N}\)
\(\eta\) dynamic viscosity of the fluid \(\mathrm{Pa·s}\)
\(r\) radius of the sphere \(\mathrm{m}\)
\(v\) speed of the sphere \(\mathrm{m/s}\)