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Simulation

Particles 0
Heat sources 0
Max velocity 0.0
Avg temperature 0.0

Visualization

Hot (low σ)
Warm
Cool (high σ)
Flow direction
Marangoni strength 1.0
Heat source intensity 1.0
Thermal diffusion 0.50
Click to place a heat source  ·  Shift+Click to place a cold spot  ·  Fluid flows from hot (low surface tension) toward cold (high surface tension)  ·  Watch radial flow patterns and convection cells form

What’s happening

The Marangoni effect

The Marangoni effect, named after Italian physicist Carlo Marangoni (1871), describes fluid flow driven by surface tension gradients. Surface tension σ depends on temperature: hotter fluid has lower surface tension. When a temperature gradient exists along a free surface, the imbalance in surface tension creates a tangential stress that drags fluid from regions of low surface tension (hot) toward regions of high surface tension (cold). This is sometimes called thermocapillary convection.

The physics

The Marangoni stress at the surface is:

τ = dσ/dT · ∇T

where dσ/dT is the surface tension temperature coefficient (negative for most liquids — surface tension decreases with temperature) and ∇T is the temperature gradient along the surface. This stress drives flow from hot to cold regions. The dimensionless Marangoni number Ma = (Δσ · L) / (μ · α) determines whether Marangoni convection dominates over diffusion, where L is a length scale, μ is viscosity, and α is thermal diffusivity.

Wine tears

The most familiar example of the Marangoni effect is “tears of wine” (also called “wine legs”). Alcohol evaporates faster from the thin film of wine climbing the glass wall, reducing the alcohol concentration near the top. Since alcohol has lower surface tension than water, the alcohol-depleted film at the top has higher surface tension. This pulls more wine upward (Marangoni flow), where it collects into droplets that roll back down as tears. The effect is entirely driven by surface tension gradients from concentration differences, not temperature.

Soap boat

A classic demonstration: place a small boat with a drop of soap at its stern on water. The soap lowers the surface tension behind the boat, creating a Marangoni stress that pulls the surface (and the boat) forward toward the region of higher surface tension. Camphor boats work the same way — camphor dissolves into the water, locally lowering surface tension and propelling the boat by the resulting Marangoni flow.

Industrial importance

Marangoni convection is critically important in welding, crystal growth, and semiconductor manufacturing. In laser welding, intense Marangoni flows in the melt pool determine the weld shape and quality. In crystal growth from a melt (the Czochralski process used to make silicon wafers), Marangoni convection at the free surface can create striations and defects in the crystal. Understanding and controlling Marangoni flows is essential for manufacturing the materials that modern technology depends on.

Bénard-Marangoni convection

When a thin liquid layer is heated from below, the classic Rayleigh-Bénard convection arises from buoyancy. But in thin layers, Marangoni convection often dominates. The surface above a hot upwelling has lower surface tension, so fluid is pulled outward along the surface toward cooler regions, where it sinks. This creates hexagonal convection cells — first observed by Henri Bénard in 1900, initially attributed to buoyancy, but later shown by Pearson (1958) to be primarily Marangoni-driven in thin layers. The hexagonal pattern is one of the most beautiful examples of spontaneous pattern formation in physics.