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Theoretical and numerical analysis of theinteraction between dynamics and
chemistry in reactive flows
Federico Bianco
PhD Candidate:
Federico BiancoSupervisors:● Angelo Vulpiani● Sergio Chibbaro● Thomas Gomez
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Reactive flows
Combustion
Plankton bloom
Stirred reactors
Theoretical and numerical analysis
of theinteraction between
dynamics and chemistry in reactive
flows
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Need of reduced combustion models
Studies in this field which seek analytical conclusions use heuristic reasoning or simplified models...
Advection-Reaction-Diffusion (ARD) models:
Premixed combustion; Binary mixture; Passive advection;
density of themixture ;Y mass fractionof burnt gasses ;ui velocity of themixture ;D diffusioncoefficient of burnt gasses ; characteristic time of reaction ;RY suitable reactionmodel ;
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Passive incompressible advection
The constant density model is one of the most used PDE combustion models...
… for the study of reaction enhancing due to the presence of advection
Without advection: (*) admits flat propagation front with laminar burning velocity of the order and thickness of the order
(*)
v 0~D /0~D
With advection: v fv0
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Passive compressible advection
Shear flow Cellular flow
2D steady state advective fields:
Autocatalitic reaction
AB2A Y A∈[0,1] RY A=2
0
Y A 1−Y A
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Instantaneous snapshot of the frontShear: Pe=100, Da=10
ε=0
ε=0.5
ε=0.5
ε=0.5
λ=0.2
λ=1
λ=2
ε=0
ε=0.5λ=π/20
ε=0.5λ=π/4
ε=0.5λ=π
Cellular: Pe=1000, Da=10
While crossing high density zones the front appears visibly stretched...
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....nevertheless
Shear flow Cellular flow
The differences in terms of mean asymptotic front speed are almost negligible.
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Micro-Combustors:
Experiments conducted by Maruta et al. show that instabilities in micro-combustors may be triggered by varying inflow conditions.
Oshibe et al. Combustion and Flame 157 (2010) 1572–1580Maruta et al. Proceedings of the Combustion Institute 30 (2005) 2429–2436
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Flame images taken by a CH-filtered digital still camera
Experimental results:
Oshibe et al. Combustion and Flame 157 (2010) 1572–1580Maruta et al. Proceedings of the Combustion Institute 30 (2005) 2429–2436
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Two ARD equation model:Constant density, passive advection, one-step reaction