univ-lorraine.fr - A Model of the self-heating...
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A Model of the self-heating mechanismsobserved in stockpiles of biosolids
Rachael AganettiAymeric Lamorlette
Graham ThorpeDominique Morvan
Victoria University, Melbourne, AustraliaAix-Marseille University, France
• Background – Biosolids and the Western Treatment Plant• The Problem – Spontaneous Combustion of Biosolids• The Physics of Self-Heating• Development of diffusive-advective Models• Parametric study on the permeability• Strategies to avoid auto-ignition
OUTLINE
• Located in the West of Melbourne• 10,500ha treatment plant• Half of Melbourne’s sewage treated at
the WTP• 40b Litres of recycled water produced
per year• 30,000 tonnes of Biosolids processed
per year
THE WESTERN TREATMENT PLANT (WTP)
Biosolids Management is regulated by the Victorian Environmental Protection Agency (EPA 2004)
For the highest treatment grade (T1)• Dewater sludge to >10%
w/w solids• Long term storage >3 years• Ensure no recontamination• Does not generate offensive • odours
BIOSOLIDS MANAGEMENT AT THE WTP
SmokeSmouldering
Fire
Elevated temperature during stockpilingduring storage
Loss of production and material
Occupational health and safety hazard
SPONTANEOUS COMBUSTION
Heat Generation• Biological activity• Oxidative reaction• Phase change of moisture Heat Loss• Heat diffusion• Heat advection in the fluid
phase
THE PHYSICS OF SELF-HEATING
P O R O U S M E D I U M
Heat Generation• Biological activity• Oxidative reaction• Phase change of moisture Heat Loss• Heat diffusion• Heat advection in the fluid
phase
THE PHYSICS OF SELF-HEATING
H E A T G E N E R A T I O N
Heat Generation• Biological activity• Oxidative reaction• Phase change of moisture Heat Loss• Heat diffusion• Heat advection in the fluid
phase
THE PHYSICS OF SELF-HEATING
D I F F U S I V E C O O L I N G
Heat Generation• Biological activity• Oxidative reaction• Phase change of moisture Heat Loss• Heat diffusion• Heat advection in the fluid
phase
THE PHYSICS OF SELF-HEATING
A D V E C T I V E C O O L I N G
Heat Generation• Biological activity• Oxidative reaction• Phase change of moisture Heat Loss• Heat diffusion• Heat advection in the fluid
phase
THE PHYSICS OF SELF-HEATING
T H E R M A L R U N A W A Y
EQUATIONS• Momentum:
• Average Energy:
• Oxygen Concentration:
BOUNDARY CONDITIONS• Solid Inlet/Outlet heat flux: Mixed condition• Fluid Inlet temperature: Dirichlet condition• Fluid Outlet temperature: Neumann condition• Solid/Fluid temperature ground condition: • Oxygen inlet concentration: Dirichlet condition• Oxygen outlet concentration: Neumann condition
Boundary condition for the average energy equation?
EQUATIONS AND BOUNDARY CONDITIONS
oxOeffOOO SCDCut
C −∇=∇+∂
∂222
2 2εε
( ) ( ) oxcbiobeffairpeffp SQSQTkTuCt
TC ++∇=∇+
∂∂ 2ρερ
Thqs ∆=ϕ
0=qfϕambientTT =
0=mϕambientOO CC
22=
Adiabatic
( )
−−=
RT
ECAS c
Occox exp12
ερ
( )
−+
−
−=
RT
EA
RT
EA
S cbbio2
2
11
exp1
exp
1 ερρ
TTT sf ==
ρ∂u∂ t
=−μκ uϵ−∇ p−ρ gβΔT
NUMERICAL SIMULATIONS : typical pile at WTP
H
L2θ
Fixed dimensions• H=5m• L=20m• Ө=18° Tested permeabilities● Κ=[10-11;10-7]m2
Critical permeability?
RESULTS : Temperature and velocity fields
K=10-11 m2
RESULTS : Temperature and velocity fields
K=10-7 m2
RESULTS : Critical permeability
CONCLUSION : strategies to avoid auto-ignition
• For WTP typical stockpiles, diffusive cooling is not sufficient to avoid ignition
• Buoyancy driven flow allows to avoid ignition for permeabilities above a critical value (depending on the pile geometry)
• Biosolid particle size managment theoretically allow to increase pile permeabilities (Moment theory adapted to the Kozeny-Karman law) to reach the critical value
• Forced convection : effect of external wind on the pile internal flow ?