Table 2.

Symbol . | Definition . | Units . | Equation . |
---|---|---|---|

a | Nu—Re coefficient | None | 27 |

A_{cd} | Conductive area | m^{2} | 11 |

A_{cv} | Convective area | m^{2} | 10 |

A_{1} | Lateral area | m^{2} | 6 |

A_{p} | Projected area | m^{2} | 4 |

b | Nu—Re exponent | None | 27 |

c_{Ag} | Specific heat of silver | J kg^{-1} K^{-1} | 22 |

c_{r} | Specific heat of rock | J kg^{-1} K^{-1} | 29 |

E_{1w} | Rate of energy emission | W m^{-2} | 5 |

H | Height of shell | m | 21 |

h_{c} | Heat transfer coefficient | W m^{-2} K^{-1} | 10 |

i | Node number (i=1 at surface) | none | 13 |

I_{sw} | Solar irradiance | W m^{-2} | 4 |

K_{a} | Thermal conductivity of air | W m^{-1} K^{-1} | 23 |

K_{r} | Thermal conductivity of rock | W m^{-1} K^{-1} | 11 |

k | Thermal diffusivity of rock | m^{2} s^{-1} | 12 |

m | Mass | kg | 22 |

n | Number of nodes | None | 13 |

Nu | Nusselt number | None | 23 |

q_{1} | Coefficient | W | 4 |

q_{2}, q_{3} | Coefficients | W, W K^{-1} | 9 |

q_{4} | Coefficient | W K^{-1} | 10 |

q_{5} | Coefficient | W K^{-1} | 17 |

R | Radius of shell | m | 20 |

Re | Reynolds number | None | 24 |

t | Time | s | 12 |

T | Temperature | K | 5 |

T_{a} | Air temperature | K | 7 |

T_{b} | Body temperature | K | 6 |

T_{i} | Temperature at node i | None | 13 |

T_{r} | Rock temperature | K | 11 |

u | Wind speed | m s^{-1} | 24 |

V_{s} | View factor | None | 7 |

W_{cd} | Conductive heat transfer rate | W | 2 |

W_{cv} | Convective heat transfer rate | W | 2 |

W_{e} | Evaporative heat transfer rate | W | 2 |

W_{in} | Inward heat transfer rate | W | 1 |

W_{1w} | Long-wave heat transfer rate | W | 2 |

W_{1w,a} | Long-wave heat transfer rate from air | W | 7 |

W_{1w,s} | Long-wave heat transfer rate to air | W | 6 |

W_{m} | Metabolic heat transfer rate | W | 2 |

W_{out} | Heat transfer rate out | W | 1 |

W_{sw} | Short-wave heat transfer rate | W | 2 |

z | Distance into rock | m | 11 |

α_{sw} | Short-wave absorptivity | None | 4 |

α_{1w,s} | Long-wave absorptivity of shell | None | 7 |

ϵ_{1w} | Long-wave emissivity | None | 5 |

ϵ_{1w,a} | Long-wave emissivity of air | None | 7 |

ϵ_{1w,s} | Long-wave emissivity of shell | None | 6 |

ν | Kinematic viscosity of air | m^{2} s^{-1} | 24 |

ρ | Density of rock | kg m^{-3} | 29 |

σ | Stefan—Boltzmann constant | Wm^{-2} K^{-4} | 5 |

Symbol . | Definition . | Units . | Equation . |
---|---|---|---|

a | Nu—Re coefficient | None | 27 |

A_{cd} | Conductive area | m^{2} | 11 |

A_{cv} | Convective area | m^{2} | 10 |

A_{1} | Lateral area | m^{2} | 6 |

A_{p} | Projected area | m^{2} | 4 |

b | Nu—Re exponent | None | 27 |

c_{Ag} | Specific heat of silver | J kg^{-1} K^{-1} | 22 |

c_{r} | Specific heat of rock | J kg^{-1} K^{-1} | 29 |

E_{1w} | Rate of energy emission | W m^{-2} | 5 |

H | Height of shell | m | 21 |

h_{c} | Heat transfer coefficient | W m^{-2} K^{-1} | 10 |

i | Node number (i=1 at surface) | none | 13 |

I_{sw} | Solar irradiance | W m^{-2} | 4 |

K_{a} | Thermal conductivity of air | W m^{-1} K^{-1} | 23 |

K_{r} | Thermal conductivity of rock | W m^{-1} K^{-1} | 11 |

k | Thermal diffusivity of rock | m^{2} s^{-1} | 12 |

m | Mass | kg | 22 |

n | Number of nodes | None | 13 |

Nu | Nusselt number | None | 23 |

q_{1} | Coefficient | W | 4 |

q_{2}, q_{3} | Coefficients | W, W K^{-1} | 9 |

q_{4} | Coefficient | W K^{-1} | 10 |

q_{5} | Coefficient | W K^{-1} | 17 |

R | Radius of shell | m | 20 |

Re | Reynolds number | None | 24 |

t | Time | s | 12 |

T | Temperature | K | 5 |

T_{a} | Air temperature | K | 7 |

T_{b} | Body temperature | K | 6 |

T_{i} | Temperature at node i | None | 13 |

T_{r} | Rock temperature | K | 11 |

u | Wind speed | m s^{-1} | 24 |

V_{s} | View factor | None | 7 |

W_{cd} | Conductive heat transfer rate | W | 2 |

W_{cv} | Convective heat transfer rate | W | 2 |

W_{e} | Evaporative heat transfer rate | W | 2 |

W_{in} | Inward heat transfer rate | W | 1 |

W_{1w} | Long-wave heat transfer rate | W | 2 |

W_{1w,a} | Long-wave heat transfer rate from air | W | 7 |

W_{1w,s} | Long-wave heat transfer rate to air | W | 6 |

W_{m} | Metabolic heat transfer rate | W | 2 |

W_{out} | Heat transfer rate out | W | 1 |

W_{sw} | Short-wave heat transfer rate | W | 2 |

z | Distance into rock | m | 11 |

α_{sw} | Short-wave absorptivity | None | 4 |

α_{1w,s} | Long-wave absorptivity of shell | None | 7 |

ϵ_{1w} | Long-wave emissivity | None | 5 |

ϵ_{1w,a} | Long-wave emissivity of air | None | 7 |

ϵ_{1w,s} | Long-wave emissivity of shell | None | 6 |

ν | Kinematic viscosity of air | m^{2} s^{-1} | 24 |

ρ | Density of rock | kg m^{-3} | 29 |

σ | Stefan—Boltzmann constant | Wm^{-2} K^{-4} | 5 |

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