Green System Effects on Energy Environmental Sustainability of Urban Built-Up Areas
Abstract
:1. Introduction
2. Materials and Methods
- The “top-down” method considers the urban context as a 2D footprint of greenery and buildings, or at a two-dimensional areal scale. It is of immediate application and is applied to evaluate the enthalpy variations on a large scale in the summer period, even when the information on buildings is not complete or scarce.
- The “bottom-up” method considers the urban context and the volumetric morphology with details on the buildings, i.e., it is at a 3D volumetric areal scale. It requires a more in-depth analysis at the district level to evaluate the variation of air enthalpy connected to the air exchange volumes for the summer cooling of each building.
- is the incident solar radiation on a specific site and at a specific hour of the day;
- α is the absorption coefficient of solar radiation (0.80 as suggested [50]);
- ε is the emissivity coefficient in the infrared (0.96 [50]);
- Tl is the surface temperature of the leaves (°C);
- k1 equal to 9.14 Jm−2s−1/2–11 °C−1 and k2 equal to 200 s1/2−1m−1 are empirical coefficients as suggested in [50];
- vw is the wind speed (m/s);
- Dl is the characteristic dimension of the leaves in the wind direction (0.05 m);
- Ta is the ambient temperature (°C);
- Ll is the latent heat of vaporization at the surface temperature of the leaves (J/kg);
- vl is the vapor density at the surface temperature of the leaves (kg/m3);
- RHa is the relative humidity of the air (%);
- va is the vapor density at the ambient temperature (kg/m3);
- rl is the evaporation resistance of the leaves (ranging from 200 to 2000 s/m as suggested in [50]);
- Wl is the characteristic dimension of the leaves in the direction transverse to the wind (0.05 m).
- a is air density (kg/m3);
- V is the volume of the individual building (m3);
- n is the number of air exchanges per hour (volumes/h), expressed in 1/s;
- Δh is the specific air enthalpy variation between the standard weather condition and the one obtained through the leaf temperature (ha − hl) expressed in J/kg.
3. Application and Results
- The leaf surface temperature tends to be always lower than the external air temperature, except in some particular conditions, i.e., when the relative air humidity is very high (RHa > 0.8);
- Without solar radiation, the whole leaf coverage reaches the equilibrium condition with the surrounding environment;
- An increase in wind speed leads to an increase in thermal exchange between the leaf surface and the air, reducing the achievable temperature difference (e.g., with Ta equal to 28 °C and all the other parameters constant, if wind speed varies from 1 to 10 m/s, Tl changes from 27.4 °C to 27.7 °C);
- If the wind speed is zero, one term of the balance becomes meaningless;
- The GHI (Global Horizontal Irradiation, expressed in W/m2) data must be used because it is not possible to accurately determine the average solar radiation striking leaves oriented in different directions; accordingly, for greenery analysis through the GEOscope Observatory platform [55], the leaf surface is considered as a ground area, i.e., green coverage.
4. Discussion
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Nomenclature
Al | Leaf surface (m2) |
cpa | Specific heat of air at constant pressure (kJ/kg K) |
cpv | Specific heat of vapor at constant pressure (kJ/kg K) |
D | Characteristic dimension of the system (m) |
Dl | Characteristic dimension of the leaf surface in the direction of the wind (m) |
Gr | Grashof, dimensionless number (-) |
hconv | Convective heat transfer coefficient (W/m2 K) |
h | Specific enthalpy (kJ/kg) |
ha | Specific air enthalpy at external air temperature (kJ/kg) |
hl | Specific air enthalpy at leaf surface temperature (kJ/kg) |
hd | Specific enthalpy of the dry air (kJ/kg) |
hv | Specific enthalpy of the vapor contained in the air (kJ/kg) |
k1, k2 | Empirical coefficients provided by [50], respectively, equal to 9.14 Jm−2 s−1/2–11 °C−1 and 200 s1/2−1m−1 |
La | Latent heat of vaporization at external air temperature (kJ/kg) |
Ll | Latent heat of vaporization at leaf surface temperature (kJ/kg) |
n | Number of air changes per hour (volume/h) expressed in (1/s) |
Nu | Nusselt, dimensionless number (-) |
Pr | Prandtl, dimensionless number (-) |
Psa | Saturation pressure at the external air temperature (Pa) |
Psl | Saturation pressure at the leaves’ surface temperature (Pa) |
Thermal power reduction within an hour (W) | |
Q | Total heat released to the air, i.e., air enthalpy variation (kJ/kg) |
Radiation absorbed by leaves across the entire spectrum (i.e., the product of the mean hemispherical absorption coefficient and the incident solar radiation expressed in W/m2) | |
Total solar radiation on the horizontal plane (W/m2) | |
Latent heat (W) | |
Sensible heat (W) | |
Ra | Rayleigh, dimensionless number (Gr · Pr) (-) |
RHa | Relative humidity of the external air (%) |
RHsat-l | Relative humidity at the saturation temperature value of the leave surface (%) |
rl | Resistance to evapotranspiration of leaves (s/m) |
T | Indoor air temperature (°C) |
Ta | External air temperature (°C) |
Tl | Surface temperature of leaves (°C) |
vw | Wind velocity (m/s) |
V | Building total volume (m3) |
W | Characteristic dimension of the leaf surface in the transverse direction to the wind (m) |
xa | Air specific humidity at the external air temperature (kgvapour/kgdry-air) |
xl | Air specific humidity at the surface temperature of the leaves (kgvapour/kgdry-air) |
β | Coefficient of thermal expansion (1/K) |
Δ | Difference |
ε | Infrared emissivity coefficient (-) |
λa | Thermal conductivity of the external air (W/m K) |
μa | Dynamic viscosity (kg/m s) |
External air density (kg/m3) | |
Vapor density at the external air temperature (kg/m3) | |
Vapor density at leaf surface temperature (kg/m3) | |
σ | Stefan–Boltzmann constant (W/m2 K4) |
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Ta | vw | RHa | rl | |
---|---|---|---|---|
W/m2 | °C | m/s | - | s/m |
800 | 28 | 5 | 0.6 | 1100 |
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Balocco, C.; Pierucci, G.; Piselli, C. Green System Effects on Energy Environmental Sustainability of Urban Built-Up Areas. Energies 2025, 18, 1640. https://doi.org/10.3390/en18071640
Balocco C, Pierucci G, Piselli C. Green System Effects on Energy Environmental Sustainability of Urban Built-Up Areas. Energies. 2025; 18(7):1640. https://doi.org/10.3390/en18071640
Chicago/Turabian StyleBalocco, Carla, Giacomo Pierucci, and Cristina Piselli. 2025. "Green System Effects on Energy Environmental Sustainability of Urban Built-Up Areas" Energies 18, no. 7: 1640. https://doi.org/10.3390/en18071640
APA StyleBalocco, C., Pierucci, G., & Piselli, C. (2025). Green System Effects on Energy Environmental Sustainability of Urban Built-Up Areas. Energies, 18(7), 1640. https://doi.org/10.3390/en18071640