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Aerodynamic Equilibrium and Stability in Ventilation and Air Quality Control of Complex Urban Tunnels

dc.contributor.authorTan, Zhen
dc.contributor.authorGao, H. Oliver
dc.date.accessioned2020-04-03T16:01:34Z
dc.date.available2020-04-03T16:01:34Z
dc.date.issued2019-03-10
dc.descriptionFinal Reporten_US
dc.description.abstractModern urban vehicular tunnels generally have a branched structure and complex nonlinear aerodynamics. We established and analyzed the 1-D aerodynamic equations and pollutant dispersion model in such bifurcate hydraulic networks. To design a tractable model that captures system complexity, we proposed a novel piecewise-affine (PWA) approximation for the flow-dependent local pressure-loss coefficients at tunnel junctions. This enables us to model the flow system via first-order ordinary differential equations (ODEs) with piecewise-quadratic polynomials. We proved a fundamental and easily verifiable sufficient condition for the uniqueness and stability of the steady-state solution of each ODE piece. We also demonstrated via a numerical study that for the entire system (across different ODE pieces) there may exist multiple stable steady-state solutions, which can lead to different CO concentration distributions in the system. Our study provides a systematic modeling tool and a theoretical foundation for air quality management in complex tunnels.en_US
dc.description.sponsorshipU.S. Department of Transportation 69A3551747119en_US
dc.identifier.urihttps://hdl.handle.net/1813/69719
dc.language.isoen_USen_US
dc.rightsAttribution 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectcomplex urban tunnelsen_US
dc.subjectair quality managementen_US
dc.subjectventilationen_US
dc.subjectnonlinear systemen_US
dc.subjectstabilityen_US
dc.titleAerodynamic Equilibrium and Stability in Ventilation and Air Quality Control of Complex Urban Tunnelsen_US
dc.title.alternativeAerodynamic Equilibrium and Stability for Air Quality Management in Complex Urban Tunnelsen_US
dc.typereporten_US
schema.accessibilityFeaturealternativeTexten_US
schema.accessibilityFeaturecaptionsen_US
schema.accessibilityFeaturereadingOrderen_US
schema.accessibilityFeaturetaggedPDFen_US
schema.accessibilityHazardunknownen_US

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