Summary
The equations governing the motion of air and contaminants in a ventilated traffic tunnel are set up. A general method of solution is established and discussed. An application is made to the problem of the relative merits of the two most attractive ventilation systems.
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Abbreviations
- a(x, t):
-
Rate of mass production of contaminants
- a 0 :
-
Unit mass production rate
- c(x, t):
-
Mass concentration of contaminants
- F :
-
Cross-section of tunnel
- L :
-
Half-length of tunnel
- n(β)p(β)}:
-
Arbitrary functions in general solution
- Q i (x):
-
Injected air volume per second and per metre
- Q a (x):
-
Air volume withdrawn per second and per metre
- q(x) =Q i /F:
-
Air injection per unit cross-section
- t :
-
Time
- v(x):
-
Axial speed of flow in tunnel
- v 0 :
-
Speed of flow at the middle of the tunnel
- x :
-
Coordinate in axial direction
- y(x) =∫ dx/v:
-
Time of drift
- α = ½(y +t)β = ½(y −t)}:
-
Characteristic coordinates
- Γ(x):
-
Initial value ofc
- γ =vQ i /a0F:
-
Dimensionless concentration
- ϕ =vF/LQ i :
-
Dimensionless speed
- ϕ 0 :
-
Dimensionless draught speed
- η :
-
Dimensionless coordinate of localised production
- μ =∫ 1−1 γdζ:
-
Dimensionless contaminant content
- τ =tQ i /F:
-
Dimensionless time
- ζ =x/L :
-
Dimensionless coordinate
- N.B.:
-
The dimensionless quantities are used only for constant values ofQ i andQ a
Reference
Burgers, J. M., De Ingenieuŕ52 A (1937) 253.
Additional information
Mededeling no. 83 uit het laboratorium voor Aero- en Hydrodynamica van de Technische Hogeschool te Delft
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Broer, L.J.F. On the theory of the ventilation of traffic tunnels. Appl. sci. Res. 6, 29–44 (1956). https://doi.org/10.1007/BF03184686
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DOI: https://doi.org/10.1007/BF03184686