The Diffusion Problem of Toxic Gases in a Tunnel. The Pump Absorption Model
| Autor: | Roberto Cianci, Bruzzone Agostino, Roberta Sburlati |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Toxic gas
Work (thermodynamics) Absorption (acoustics) Partial differential equation Suction Diffusion problem Analytical solution Explosion Applied Mathematics Mechanics Dispersion Analytical solution Circular tunnel Explosion Toxic gas Dispersion Circular tunnel Diffusion (business) Dispersion (water waves) Mathematics |
| Zdroj: | Acta Applicandae Mathematicae. 132:213-224 |
| ISSN: | 1572-9036 0167-8019 |
| DOI: | 10.1007/s10440-014-9896-x |
| Popis: | In this work we study the diffusion of a toxic gas in a tunnel due to an explosion in order to realize a control system--via a wireless network of active sensors--for identification and immediate containment procedures. To this end an aspiration pump is turned on instantaneously at a distance of b meters from the explosion to mitigate the effects of the terroristic act. We exactly find the diffusion concentration in order to provide a solution useful for comparison to other models: numerical ones or models with many aspiration pumps. The model is described by the diffusion partial differential equation (PDE) with a non-homogeneous term which models the aspiration pump. A model with more suction pumps is outlined. |
| Databáze: | OpenAIRE |
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