Modelling and simulation of gas dynamics in an exhaust pipe |
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Authors: | Ingenuin Gasser Martin Rybicki |
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Institution: | Fachbereich Mathematik, Universität Hamburg, Bundesstraße 55, 20146 Hamburg, Germany |
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Abstract: | The gas dynamics in an exhaust pipe is studied. In particular we focus on the warm up of the catalytic converter in very short times after the engine start. This is done by combustion a small unburnt part of the exhaust gas. This process is classically modelled by gas dynamic equations. Compared to the existing literature we improve the (one-dimensional) modelling approach using a small Mach number technique and a network ansatz for the full exhaust pipe. The final simplified model on one hand still describes the main features and on the other hand it is computationally a few orders of magnitude faster than the original model. Performing numerical simulations we compare the new model to the (classical) full model and to experimental results in the literature. |
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Keywords: | Exhaust pipe Gas dynamics Gas dynamics network Small Mach number Combustion |
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