• Pixel-art sticker of Convecta, personifying Convection, with the caption “Hot Rises, Cool Sinks.”

IndexHeat & EntropySticker

Convecta

Convection Physics

\[\rho = \frac{\rho_0}{1+\beta\,\Delta T}\]
Regular price $4.99 USD
Regular price Sale price $4.99 USD
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Meet Convecta, who rises warm and sinks cool: heated fluid expands, gets less dense, and rises, while cooler, denser fluid sinks to take its place. That makes a rolling current, like soup on a stove. 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.

Full refund & replacement policy

The physics

Meet Convecta, warm fluid that rises because she has become lighter than the fluid around her.

Heat a fluid and it usually expands, so its density falls: ρ = ρ₀/(1 + βΔT), where β is the volumetric expansion coefficient. Buoyancy then pushes the warmer, lighter fluid up, while cooler, denser fluid sinks to replace it. The result is a circulating flow, convection, which carries heat much faster than conduction alone.

For water near room temperature, β is about 2×10⁻⁴ per kelvin. Warming it by 10 K lowers its density by only about 0.2 percent, but that small difference is enough to drive rolling currents in a pot on a stove.

Convection shapes the weather, as warm air rises to form clouds and thunderstorms. It drives sea breezes, ocean circulation and the slow churning of Earth's mantle, and it carries energy through the outer layers of the Sun.

The simple density formula holds for small temperature changes. Water below 4 °C is an exception: it expands as it cools, which is why lakes freeze from the top down.

Equations

\[\rho = \frac{\rho_0}{1+\beta\,\Delta T}\]
Symbols
SymbolMeaningUnit
\(\rho\) density of the fluid after warming \(\mathrm{kg/m³}\)
\(\rho_0\) initial density \(\mathrm{kg/m³}\)
\(\beta\) volumetric thermal expansion coefficient \(\mathrm{K⁻¹}\)
\(\Delta T\) temperature rise \(\mathrm{K}\)