Abstract
The laboratory LAMTI has worked for several years on the study and the optimization of the thermal performances of passive solar walls like solar Trombe wall. These components of the buildings envelope have very complex behaviour because they are the seat of various coupled heat transfers modes and are subjected to the random variations of the meteorological parameters. Using the finite difference method (FDM) and starting from experimental results recorded during several years, a simulation model was developed and validated concerning the “composite” Trombe wall. In order to make this work more accessible to the community of the heat engineers, it appears interesting to build a simulation model which can be integrated into the library of elements of the TRNSYS software. A “Type” was thus carried out and the results obtained compared with those of the FDM model. In this work we compare the obtained results with these two numerical ways. The assumptions and the results of simulations are also confronted with those of an existing module in TRNSYS (Type 36) established for the “classical” Trombe wall. The study shows that the models that we developed are very precise and that certain assumptions must be used with a lot of precautions. The advantages of the composite Trombe solar wall compared to the Classical Trombe wall are highlighted for cold and/or cloudy climates.
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Abbreviations
- a :
-
thermal diffusivity (m2/s)
- A :
-
area (m2)
- C :
-
specific heat (J/kg·°C)
- C d :
-
drag coefficient
- D :
-
distance (m)
- F e :
-
emission factor
- g :
-
gravitational acceleration (m/s2)
- Gr :
-
Grashof number
- h e :
-
convection coefficient (W/m2·°C)
- h r :
-
radiation coefficient (W/m2·°C)
- H :
-
height (m)
- H o :
-
vertical distance between two orifices (m)
- I g :
-
global solar radiation flux density (W/m2)
- I h :
-
solar radiation flux density on a horizontal surface (W/m2)
- I d :
-
diffuse solar radiation flux density (W/m2)
- L :
-
width (m)
- m :
-
air mass flow rate
- Nu :
-
Nusselt number
- Pr :
-
Prandtl number
- Q :
-
thermal energy (J)
- R :
-
thermal resistance (m2·°C/W)
- Ra :
-
Rayleigh number
- t :
-
time (s)
- T :
-
temperature (°C)
- T abs :
-
temperature (K)
- V :
-
fluid velocity (m/s)
- x, z :
-
Cartesian coordinates
- X :
-
thickness (m)
- α :
-
absorptivity to the solar flux
- β :
-
thermal expansion coefficient (K−1)
- ɛ :
-
emissivity
- ϕ :
-
flux density (W/m2)
- Φ :
-
heat flux (KJ/h)
- λ :
-
thermal conductivity (W/m·°C)
- μ :
-
dynamic viscosity (kg/m·s)
- ρ :
-
density (kg/m3)
- σ :
-
Stefan-Boltzmann constant (5.674×10−8 W/m2·K4)
- τ :
-
transmissivity
- ζ :
-
sum of load loss coefficients
- abs :
-
absolute temperature
- am :
-
ambiance
- c :
-
convection
- e :
-
emission
- e :
-
exterior
- env :
-
environment
- f :
-
fluid
- g :
-
glazing
- gy :
-
gypsum
- i :
-
insulating wall
- int :
-
interior (dwelling)
- m :
-
massive wall
- o :
-
orifice
- r :
-
radiation
- s :
-
solar
- sf :
-
surface
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Shen, J., Lassue, S., Zalewski, L. et al. Numerical study of classical and composite solar walls by TRNSYS. J. of Therm. Sci. 16, 46–55 (2007). https://doi.org/10.1007/s11630-007-0046-x
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DOI: https://doi.org/10.1007/s11630-007-0046-x