Quantity | Type | Mid-shell | σ r | δ σ r | Outer boundary |
---|---|---|---|---|---|
Ad r /Ad h | Global | \(0.738 \cdot (E^{2} \cdot Ra)^{\frac {1}{8}}\) | 0.029 | 0.004 | – |
HN | \(0.580 \cdot (E^{2} \cdot Ra)^{-\frac {1}{11}}\) | 0.042 | 0.000 | – | |
St r /St h | Global | \(2.081 \cdot (E^{3} \cdot Ra^{2} \cdot Pm)^{-\frac {1}{12}}\) | 0.054 | 0.007 | – |
HN | \(2.982 \cdot (E \cdot Ra^{2} \cdot Pm)^{-\frac {1}{28}}\) | 0.080 | 0.000 | – | |
St h /Ad h | Global | \(0.628 \cdot Pm^{-\frac {1}{4}}\) | 0.071 | 0.004 | \(2.996 \cdot (E \cdot Ra \cdot Pm^{3})^{-\frac {1}{6}}\) |
HN | \(0.765 \cdot (E^{6} \cdot Ra^{3} \cdot Pm^{5})^{-\frac {1}{11}}\) | 0.140 | 0.005 | \(10.489 \cdot (E \cdot Ra \cdot Pm^{2})^{-\frac {1}{3}}\) | |
St/Ad | Global | \(1.666 \cdot (E^{4} \cdot Ra^{3} \cdot Pm^{6})^{-\frac {1}{24}}\) | 0.036 | 0.004 | \(2.996 \cdot (E \cdot Ra \cdot Pm^{3})^{-\frac {1}{6}}\) |
HN | \(0.425 \cdot (E^{9} \cdot Ra^{4} \cdot Pm^{3})^{-\frac {1}{13}}\) | 0.184 | 0.016 | \(10.489 \cdot (E \cdot Ra \cdot Pm^{2})^{-\frac {1}{3}}\) | |
\(\mathcal {P}/\mathcal {T}\) | Global | \(0.302 \cdot (E^{3} \cdot Ra^{2})^{\frac {1}{16}}\) | 0.035 | 0.002 | \(0.319 \cdot Pm^{\frac {1}{6}}\) |
HN | \(0.105 \cdot (E^{-1} \cdot Pm)^{\frac {1}{8}}\) | 0.089 | 0.002 | \(0.261 \cdot Pm^{\frac {1}{6}}\) | |
\(\|u_{r}\|/\|\vec {u}_{h}\|\) | Global | \(0.556 \cdot (E^{3} \cdot Ra^{2})^{\frac {1}{16}}\) | 0.025 | 0.005 | – |
HN | \(0.117 \cdot (Ra^{3} \cdot Pm^{5})^{\frac {1}{20}}\) | 0.078 | 0.003 | – |