Appendix 3.5 Calculations of NO2 Concentration inside the Two Sections
of Deckover on Road D1
Section between Area 138A/B - Normal speed
and  Area 65D R1 Site
Tunnel Parameter
Tunnel length (m), L = 115
Tunnel height (m), H = 10
Tunnel width (m), W = 22
Tunnel size (m2), At = H * W
220
Equivalent diameter (m), dt = (4*At/p)^0.5
16.73657
Effective length of the tunnel (m), Le = L + 2*3*dt
215.4194
Emission Data
Traffic Breakdown (%)
Traffic flow (veh/hr) P/C Taxi Bus LGV HGV
Tunnel traffic 3400 51 18 4 9 18
Q (veh/hr) 1734 612 136 306 612
P/C Taxi Bus LGV HGV
Emission Factor (g/km) - EURO3 0.71 0.73 6.8 1.23 3.84
Weighted NOX E.F. (g/km/veh) = 1.5674
NO2 emission factor per unit length (g/m/s), w = 0.000296
Vehicle Data
Nominal dimensions of vehicles are given in Transport Planning and Design Manual, Vol. 2 as:
W H L
Cars and Taxi 1.7 1.5 4.6
Bus 2.5 4.6 12
LGV 2.1 1.6 5.2
HGV 2.5 4.6 16
Nominal cross-sectional area (m2) = (1.7*1.5*(0.51+0.18))+(2.5*4.6*0.04)+(2.1*1.6*0.09)+(2.5*4.6*0.18)
= 4.5919
Number of lanes per direction, nl = 2
Equivalent cross-sectional area for each direction (m2), Av = 9.1838
Equivalent diameter of vehicle (m), dv = (4*Av/p)^0.5
= 3.41953
Traffic density (traffic flow /s), N = 0.944444
Average vehicle speed (m/s), v = 50 km/hr
= 13.88889
Head to head distance on a lane (m), l = 2*nl*v/N
= 58.82353
Diffusion Parameters
Reynolds number, Re = (v*dv)/s where s = 15.6*10^-6
= 3044454
According to Figure 16 (Ohashi and Koso)
Since l / dt = 3.51467
D / (N * dt^2 * Re^0.13) = 0.33
Longitudinal
diffusion coefficient (m2/s) , D = 0.37 * (N * dt^2 * Re^0.13)
= 607.9666
Maximum Concentration of NO2
Cmax (µg/m3) = w * Le^2 / (8 * D * At)
(without background) = 12.83996