// multi-utility computation suite · offline · instant · precise
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sci.magma-ascent-velocity Calculator
Calculates magma ascent velocity from conduit geometry, melt viscosity, and pressure gradient, using Poiseuille flow as a first approximation. Basaltic magma (low viscosity) ascends at 0.1–1 m/s; rhyolitic magma (high viscosity) at < 0.001 m/s — eruption explosivity depends heavily on ascent rate and degassing rate.
Inputs
Dp Mpa
Force per unit area (Pa). Atmospheric pressure at sea level: 101,325 Pa. Check whether gauge or absolute pressure is required.
Mu Pa S
Fluid resistance to flow. Water at 20°C: ~1 cP. Honey: 2,000–10,000 cP. Higher viscosity increases pumping power requirements.
Conduit Radius M
Distance from centre to edge of a circle. Radius = diameter / 2.
Depth Km
Vertical extent downward, or thickness of a layer. For tanks: affects pressure at the base (P = ρgh).
Results
maximum magma velocity (m/s)
The largest value in the dataset or feasible range.
volumetric flux Q (m³/s)
The computed three-dimensional volume.
mass flux (kg/s)
The computed mass of the object or substance.
v = ΔP·r²/(8μ·L)
Reference formula or conversion factor shown for context.