HydroGeoSphere/Thermal Energy

Specified temperature flux

1. ntime Number of panels in the time-variable, specified temperature flux function. For each panel, enter the following:

(a) ton_val, toff_val, bc_val, bc_temp Time on [T], time off [T], specified volume flux (of liquid) [L³/T] multiplied by the heat capacity [J kg⁻¹ K⁻¹] and density [M/L³] of the

boundary medium, temperature of water entering [K].

Nodes in both the chosen faces and the currently active media (see Section 5.8.1) are assigned a time-variable temperature flux value.

Although a fluid volume flux bc_val is specified, this does not influence the flow solution in any way. It is merely intended to give the user a straightforward way to input a known amount of energy to the system, as a function of fluid volume and temperature.

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The following instructions are used to define the atmospheric inputs discussed in Section 2.6.1.10, and summarized in Equation 2.121.

Incoming Shortwave Radiation

1. ntime Number of panels in the time-variable, incoming shortwave radiation function. For each panel, enter the following:

(a) ton_val, value Time on [T], incoming shortwave radiation [M/T³], $K$^↓ in Equation 2.122. Default value is 1.10 × 10² J/(m² s).

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Sinusoidal Incoming Shortwave Radiation

1. ntime Number of panels in the time-variable, sinusoidal incoming shortwave radiation function. For each panel, enter the following:

(a) ton_val, value, amp, phase, period Time on [T], vertical shift (mid-point incoming shortwave radiation, $K$^↓ in Equation 2.122) [M/T³], amplitude [M/T³], phase,       period [T].

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Cloud Cover

1. ntime Number of panels in the time-variable, cloud cover function. For each panel, enter the following:

(a) ton_val, value Time on [T], cloud cover [-], $C_{c}$ in Equation 2.124. Default value is 0.50.

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Incoming Longwave Radiation

1. ntime Number of panels in the time-variable, incoming longwave radiation function. For each panel, enter the following:

(a) ton_val, value Time on [T], incoming longwave radiation [M/T³], $L$^↓ in Equation 2.125. Default value is 3.0 × 10² J/(m² s).

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Temperature of Air

1. ntime Number of panels in the time-variable, air temperature function. For each panel, enter the following:

(a) ton_val, value Time on [T], air temperature [K], $T_{a}$ in Equation 2.126. Default value is 15°C.

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Sinusoidal Temperature of Air

1. ntime Number of panels in the time-variable, sinusoidal air temperature function. For each panel, enter the following:

(a) ton_val, value, amp, phase, period Time on [T], vertical shift (mid-point temperature, $T_{a}$ in Equation 2.126) [K], amplitude [K], phase, period [T].

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These instructions are used to define the sensible heat flux $Q_{h}$ in Equation 2.128 and latent heat flux $Q_{E}$ in Equation 2.129.

Density of Air

1. ntime Number of panels in the time-variable, air density function. For each panel, enter the following:

(a) ton_val, value Time on [T], density of air [M/L³], ${\rho }_{a}$ in Equation 2.128. Default value is 1.225 kg/m³.

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Specific Heat of Air

1. ntime Number of panels in the time-variable, air specific heat function. For each panel, enter the following:

(a) ton_val, value Time on [T], specific heat of air [L²/(T² K)], $c_{a}$ in Equation 2.128. Default value is 7.17 × 10² J/(kg °K).

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Wind Speed

1. ntime Number of panels in the time-variable, wind speed function. For each panel, enter the following:

(a) ton_val, value Time on [T], wind speed [L/T], $V_{a}$ in Equation 2.128. Default value is 1.0 m/s.

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Sinusoidal Wind Speed

1. ntime Number of panels in the time-variable, sinusoidal wind speed function. For each panel, enter the following:

(a) ton_val, value, amp, phase, period Time on [T], vertical shift (mid-point wind speed, $V_{a}$ in Equation 2.128) [L/T], amplitude [L/T], phase, period [T].

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Drag Coefficient

1. ntime Number of panels in the time-variable, drag coefficient function. For each panel, enter the following:

(a) ton_val, value Time on [T], drag coefficient [-], $c_{D}$ in Equation 2.128. Default value is 2.0 × 10⁻³.

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Latent Heat of Vapourization

1. ntime Number of panels in the time-variable, latent heat of vapourization function. For each panel, enter the following:

(a) ton_val, value Time on [T], latent heat of vapourization [L²/T²], $L_{V}$ in Equation 2.129. Default value is 2.258 × 10⁶ J/kg.

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Specific Humidity of Air

1. ntime Number of panels in the time-variable, air specific hunidity function. For each panel, enter the following:

(a) ton_val, value Time on [T], specific humidity of air [M/M], $SH_{a}$ in Equation 2.129. Default value is 0.01062.

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Soil-Water Suction at Surface

1. ntime Number of panels in the time-variable, soil-water suction at surface function. For each panel, enter the following:

(a) ton_val, value Time on [T], soil-water suction at surface [L], ${\psi }_{g}$ in Equation 2.131. Default value is 0.138 m.

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Saturation Vapour Pressure

1. ntime Number of panels in the time-variable, saturation vapour pressure function. For each panel, enter the following:

(a) ton_val, value Time on [T], saturation vapour pressure [M/(L T²)], $e_{sat}[T_{g}]$ in Equation 2.132. Default value is 1.704 × 10³ Pa.

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Relative Humidity

1. ntime Number of panels in the time-variable, relative humidity function. For each panel, enter the following:

(a) ton_val, value Time on [T], relative humidity [-]. Default value is 0.75.

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Pressure of Air

1. ntime Number of panels in the time-variable, air pressure function. For each panel, enter the following:

(a) ton_val, value Time on [T], air pressure [M/L T²], $p_{a}$ in Equation 2.132. Default value is 1.013 × 10⁵ Pa.

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