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transport of dangerous goods and risk management - Kirilo Savić

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TRANSPORT OF DANGEROUS GOODS AND RISK MANAGEMENT 115From Figure 2 one can see, that the left tube is disadvantagues because <strong>of</strong> negative gradient which will causebuoyancy <strong>of</strong> the gases against the traffic flow.Fire simulation point in the computational approachVentilat. section DL= 450 m1459 mLeft Tube40 MW+0.90%Fire in 3 sections40 MWA= 82 m 2100 100 1503 lanes-2.2%120 90 90 90Ventilat. section A Ventilat. section B Ventilat. section CH40 MW-0.50%Fire in 3 sections3 lanes40 MWRight Tube +2.2A= 82 m 2124 189 150120 90 90Ventilat. section EVentilat. section FVentilat. section GFansFire points1487 mFigure 3. Road-traffic plan <strong>of</strong> tunnel with experimentally positioned fires placeTherefore, the left tube <strong>of</strong> the “Sentvid”-tunnel that is passing under the Slovenian Capital <strong>of</strong> Ljubljana, was takenas object <strong>of</strong> interest – both in physical simulations <strong>and</strong> computational approaches (with the fires sized as 1,5MW<strong>and</strong> 3,5MW) as well as in the subsequental computational-only experiment <strong>of</strong> the 40MW-fire. The tunnel itself,with the slope <strong>of</strong> 2,2 %, has two major main-curves <strong>of</strong> a Radius <strong>of</strong> 4000m <strong>and</strong> 1500m with both “horse-shoe”-cross-section <strong>and</strong> rectangular- cross-section, where first one is determining first 1080m <strong>of</strong> the tunnel. Starting as athree-lanes-tunnel, after the bifurcation in “Sentvid” (on the 720 th meter <strong>of</strong> it´s length) the “main stream” <strong>of</strong> the“horse-shoe-shaped” tunnel is “continuing” as two-lane traffic communication, the “horse-shoe-shaped” form isexiting <strong>and</strong> elevating to the point about 12m above road-level <strong>of</strong> the “main stream”, having the length <strong>of</strong> further400m <strong>and</strong> changing from a one-lane to the two-lane “horse-shoe-shaped” cross-section. So, the Aspect-Ratio waschanging in this tunnel: for three-lanes part Ap =1,707 to the rectangular <strong>and</strong> other horse-shoe-shaped part withtwo lanes with Ap = 1,32.TURBULENCE TREATMENT WITHIN THE CFD-BASED APPROACHThe flow phenomena within the object <strong>of</strong> interest are computed by the Reynolds Averaged Navier-Stokes (RANS)equations, with the turbulence k- model 19 , representing the major characteristic <strong>of</strong> the applied CFD-investigationtoolwith the FLUENT. Observations show the Mach Number to be <strong>of</strong> the order <strong>of</strong> 0.035 <strong>and</strong> such a flow can beassumed as incompressible 20 where the combustion makes no impact onto flow-velocity 3 . Further assumption, tohave a planar propagation front <strong>of</strong> combustion in a motionless fluid, applies here the Boussinesq approximation 21,22without external forces 23 obeying the incompressible Navier-Stokes equation 24 with a temperature-dependent forceterm 23 where the temperature-change describes the advection-reaction-diffusion equation:

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