A mathematical model for the energy stored in green roofs

• We develop a simple mathematical model to estimate the energy stored in green roof and provide analytical solutions. The effect of different key parameters on both surface temperature is discussed. A typical significantly cooler stores less than concrete even with high albedo coating. Evaporation few millimeters per day leads threefold reduction compared roofs. developed. Analytical solutions are derived corresponding extensive (shallow) intensive (deep) substrates. Results presented for roofs during day. Within restrictions assumptions solution demonstrates that vary linearly fractional leaf coverage, irradiance, while evaporation rate convective heat transfer non-linear. It shown one when has millimetres from soil layer can reduce by factor more three an equivalent thickness roof.