Table 1 The meanings of the symbols and their values
From: Effects of magma-generation and migration on the expansion and contraction history of the Moon
Symbol | Meaning | Value |
|---|---|---|
\(T_{{{\text{sur}}}}\) | Surface temperature | \(270 \,{\text{K}}\) |
\(T_{0}\) | Melting temperature at the surface | \(1359 \,{\text{K}}\) |
\(r_{{\text{p}}}\) | Radius of the surface | 1740Â km |
\(r_{{\text{c}}}\) | Radius of the core–mantle boundary | 383 km |
\(r_{{{\text{crst}}}}\) | Radius of the Moho | 1697Â km |
\(\rho_{0}\) | Reference density | \(3300\,{\text{kg m}}^{ - 3}\) |
\(\rho_{{{\text{core}}}}\) | Core density | 7500 kg m−3 |
\(\kappa_{{{\text{mantle}}}}\) | Thermal diffusivity of the mantle | \(1.0 \times 10^{ - 6}\, {\text{m}}^{2} {\text{ s}}^{ - 1}\) |
\(\kappa_{{{\text{edd}}}}\) | Eddy diffusivity in largely molten regions | \(50\,\kappa {\text{ at }} \phi^{*} > 0.4\) |
\(g\) | Gravitational acceleration | 1.62 m s−2 |
\(\Delta h\) | Latent heat of melting | 657 kJ kg−1 |
\(C_{{{p}}}\) | Specific heat of the mantle | 1240 K−1 kg−1 |
Cpc | Specific heat of the core | 850 K−1 kg−1 |
\(D_{0}^{*} ,\, D_{1}^{*} ,\, \varsigma\) | See Eq. 4 | 0.11, 0.16, 100 km |
\(k_{\phi 0}\) | Reference permeability | 1.0 × 10−14 to 1.0 × 10−13 m2 |
\(\phi_{0}^{*}\) | Reference melt-content | 0.05 |
\(\mu\) | Melt viscosity | 1 to 20 Pa s |
\(D^{*}\) | Partition coefficient of HPEs (solid/melt) | 0.01 or 1 |
\(\alpha_{{\text{m}}}\) | Thermal expansivity in the mantle | \(3 \times 10^{ - 5}\, {\text{K}}^{ - 1}\) |
\(\alpha_{{\text{c}}}\) | Thermal expansivity in the core | \(9 \times 10^{ - 5}\, {\text{K}}^{ - 1}\) |