21-July. Team Activity about basic concepts.

21-July. Team Activity about basic concepts.

Consider a building as a cube with a side 10 m long.

Technical specification of the building

  • 100 m\(^2\) of the roof building are covered by photovoltaic panels.
  • The photovoltaic panels follows the sun movement in the sky so that the sun light is always perpendicular to the panels.
  • Consider 5h of sun radiation per day.
  • The photovoltaic panels, on average, supply 200 W/m\(^2\) during the 5h of solar radiation per day.
  • To heat your building you want to use only the energy given by the photovoltaic system on the roof.
  • The building is heated with an heat pump with a COP (Coefficient of Performance) equal to 3. [The COP is the ratio between the heat delivered by the pump in the house and the energy supplied to the pump]
  • The energy delivered by the photovoltaic system supplies the heat pump.
MaterialThermal conductivity W/(m K)
Concrete1.7
Wood0.15
Polystyrene0.036
Thermal conductivity \(\lambda\) for different materials.
  1. Plot on the same chart the heat flow density q as a function of the thickness \(\Delta\)x of the walls, for all the different values of \(\lambda\) given in the table above. Assume a temperature difference between the inside and the outside of the building \( \Delta\)T=20 K (we have something similar in the winter period in Turin).
  2. Considering that, for all the 24h, you want to maintain a temperature inside the building 20K higher than the outside, evaluate the thickness of the walls for the different values of the thermal conductivity \(\lambda\) listed in the table.
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Lorenzo Galante

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