Table 2 Fluid properties and non-dimensional parameters
From: Iron diapirs entrain silicates to the core and initiate thermochemical plumes
Symbol | Units | Laboratory | Earth | |
|---|---|---|---|---|
Fluid 1 (S1) | ||||
Viscosity | μ 1 | Pa ⋅ s | 0.004–115 | 10−3–102(14) |
Density | ρ 1 | kg/m3 | 970–1385 | 2750–4000(66) |
Surface tension | γ | mN/m | 65 | 350(53) |
Layer height | h 1 | m | 0.025–0.045 | 105–106 |
Fluid 2 (S2) | ||||
Viscosity | μ 2 | Pa ⋅ s | 103–104 | 1018–1021 |
Density | ρ 2 | kg/m3 | 1417–1520 | 3300–5500 |
Layer height | h 2 | m | 0.24–0.26 | 3×106 |
Metal (M) | ||||
Viscosity | μ m | Pa ⋅ s | 10−3 | 10−3 |
Density | ρ m | kg/m3 | 5910 | 7000 |
Surface tension | γ | mN/m | 707(64) | |
Layer height | h m | m | 10−3–10−2 | 102–105 |
Dimensionless parameters | ||||
Reynolds # (droplets in S1) | Re S1 | – | 10−2–102 | 10−1–107(a) |
Reynolds # (diapir in S2) | Re S2 | – | 10−7–10−6 | 10−23–10−18(b) |
Reynolds # (S1plume in S2) | Re thch | – | 10−11–10−8 | 10−21–10−19(c) |
Bond # | B diapir | – | 8–50 | 1014–1015 |
B droplet | – | 10−3–10−1 | 10−2–100 | |
Buoyancy ratio | ρm/ρ2 | – | 3.8–4.2 | 1.3–2.1 |
ρ2/ρ1 | – | 1.1–1.6 | 1.4–2.3 | |
Buoyancy diff | ρm−ρ2 | kg/m3 | 4390–4493 | 1500–3700 |
ρ2−ρ1 | kg/m3 | 150–550 | 1500–3100 | |
