Basic equations of the dualsource model for estimation of sensible heat flux density from a composite surface

Our dual-source model parameterizes heat exchange between vegetation, soil and air using the resistance scheme in Fig.1. Sensible heat flux from the (vegetation + soil) mixture is considered as the sum of contributions from vegetation and soil and can be expressed as where Hv and Hs are the sensible heat flux densities from vegetation and the soil respectively,

where and are vegetation and soil temperature respectively, is aerodynamic temperature in the canopy space, rah,v and rah,s are resistances for heat transfer from vegetation and soil to air in the canopy space having temperature Tac. The total heat flux H from the canopy space to the surface layer may also be expressed as where is air temperature at the reference height, z, above the canopy, is the classical aerodynamic resistance for heat transfer between the reference source height, z0, in the canopy and a reference level above the canopy.

To use this heat transfer model, parameterizations have to be developed to estimate the three resistances rah,v, rah,s and rah.

Aquaponics Business Scheme
Figure 1. Resistance scheme of dual-source model to estimate sensible heat flux using component temperatures
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