✦ LIBER ✦

An asymptotic-induced one-dimensional model to describe fires in tunnels II: the stationary problem

✍ Scribed by Ingenuin Gasser

Publisher: John Wiley and Sons
Year: 2003
Tongue: English
Weight: 160 KB
Volume: 26
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.428

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✦ Synopsis

Abstract

We study stationary solutions of a one‐dimensional low‐Mach‐number model derived in Gasser and Struckmeier (Math. Meth. Appl. Sci. 2002; 25(14): 1231) to describe fire events in long tunnels. The existence of solutions of the corresponding stationary model is shown to be equivalent to the existence of solutions of an algebraic problem. Multiple solutions are shown to be possible. The relation between different formulations of the problem is analysed. Weak and special distributional solutions are considered. Finally, numerical examples of realistic tunnel data with single and multiple solutions of the stationary problem are given. Copyright © 2003 John Wiley & Sons, Ltd.

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An asymptotic-induced one-dimensional mo

An asymptotic-induced one-dimensional model to describe fires in tunnels

✍ Ingenuin Gasser; Jens Struckmeier 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 157 KB

## Abstract We derive a simple one‐dimensional model for the description of fire events in long vehicle tunnels, which is based on appropriate low‐Mach number asymptotics as well as on averaging procedure along the cross‐section of a tunnel. Turbulent effects are modelled using a phenomenological m