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The solar heater problem

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How many showers can you take per week with a 10 m2 solar water

heater ?

The solar heater problem

• The solar constant is 1300 W/m2

• In France, number of hours of sunshine is between 1500 and 3000 (between 17 and 34% of the time)

• The power collected on a 10m2 solar heater is on average between 2200 and 4400 W

• estimate the Rayleigh number for thermal convection outside the

collector, deduce the relevant Nusselt number and estimate the heat flux due to thermal convection

Physical properties of air : density 1 kg/m3

Prandtl number : 0.7

kinematic viscosity 1.5 10-5 m2/s

coefficient of thermal expansion : 3.5 10-3

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