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Applied Scientific Research, Section A

, Volume 6, Issue 1, pp 29–44 | Cite as

On the theory of the ventilation of traffic tunnels

  • L. J. F. Broer
Article

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.

Keywords

Ventilation System Tunnel Project Traffic Tunnel Mountain Tunnel Ventilation Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of symbols

a(x, t)

Rate of mass production of contaminants

a0

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

Qi(x)

Injected air volume per second and per metre

Qa(x)

Air volume withdrawn per second and per metre

q(x) =Qi/F

Air injection per unit cross-section

t

Time

v(x)

Axial speed of flow in tunnel

v0

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(yt)}

Characteristic coordinates

Γ(x)

Initial value ofc

γ =vQi/a0F

Dimensionless concentration

ϕ =vF/LQi

Dimensionless speed

ϕ0

Dimensionless draught speed

η

Dimensionless coordinate of localised production

μ =−11γ

Dimensionless contaminant content

τ =tQi/F

Dimensionless time

ζ =x/L

Dimensionless coordinate

N.B.

The dimensionless quantities are used only for constant values ofQ i andQ a

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Reference

  1. 1).
    Burgers, J. M., De Ingenieuŕ52 A (1937) 253.Google Scholar

Copyright information

© Martinus Nijhoff, The Hague/Kluwer Academic Publishers 1956

Authors and Affiliations

  • L. J. F. Broer

There are no affiliations available

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