presented at the comsol conference 2009 milan comsol ... · heat transfer throughheat transfer...

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COMSOL Multiphysics as a Tool to Increase Safety i th H dli fA tl C li d I l di Fi in the Handling of Acetylene Cylinders Involved in Fires Fabio Ferrero Fabio Ferrero BAM Federal Institute for Materials Research and Testing Division II.1 “Gases, Gas Plants” Working Group Safety Related Properties of GasesWorking Group Safety Related Properties of Gases Unter den Eichen 87, D-12205 Berlin, Germany COMSOL CONFERENCE Milan, October 14-16 2009 Presented at the COMSOL Conference 2009 Milan

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Page 1: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

COMSOL Multiphysics as a Tool to Increase Safety i th H dli f A t l C li d I l d i Fiin the Handling of Acetylene Cylinders Involved in Fires

Fabio FerreroFabio Ferrero

BAM Federal Institute for Materials Research and TestingDivision II.1 “Gases, Gas Plants” Working Group “Safety Related Properties of Gases”Working Group Safety Related Properties of GasesUnter den Eichen 87, D-12205 Berlin, Germany

COMSOL CONFERENCEMilan, October 14-16 2009

Presented at the COMSOL Conference 2009 Milan

Page 2: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

• Acetylene (C2H2) is commonly used for cutting and welding purposes

Background

Acetylene (C2H2) is commonly used for cutting and welding purposes • Normally stored in compressed gas cylinders• Acetylene cylinders involved in fire can burst

Explosion of a fully charged 40 dm3 acetylene cylinder (bonfire test)

P i id t• Previous accidents:- Schutterwald, Germany, accident in a private workshop (1994)- Brisbane, Australia, accident in an acetylene factory (1999)- Dallas, USA, accident in a gas factory (2007)

ConsequencesEconomical and human losses (fireball, ejection of fragments)

COMSOL CONFERENCEMilan, October 14-16 2009

Page 3: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

I t t t k

Objectives

Important to know:• heating up process

- time to explosion

• critical temperature / pressure in the cylinder- acetylene can decompose with high heat release (226 kJ/mol)

• cooling with water- the cylinder can be safely handled after the firey y

experiments and/or simulations

A mathematical model to predict the heat transfer in the acetylene cylinder has been developed and solved in COMSOL Multyphysics

COMSOL CONFERENCEMilan, October 14-16 2009

Page 4: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

Acetylene Cylinder

Acetylene cylinder:

- steel wallsteel wall

- the inside is not a free space, but a complex system

copyright: www.bam.de

COMSOL CONFERENCEMilan, October 14-16 2009

Page 5: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

Acetylene Cylinder

Composition cylinder inside:- porous material

( / )- acetone (liquid/vapour)- acetylene (free/dissolved)

copyright: www.bam.de

COMSOL CONFERENCEMilan, October 14-16 2009

Page 6: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

Acetylene Cylinder

Composition cylinder inside:- porous material

( / )- acetone (liquid/vapour)- acetylene (free/dissolved)

Free space- free acetylene

acetone vapour- acetone vapour

copyright: www.bam.de

COMSOL CONFERENCEMilan, October 14-16 2009

Page 7: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

Simulation: geometry & mesh

Geometry (50 dm3):

Implementation in COMSOL

2D Axial symmetric (computing time reduction)

Mesh- elements: 10740

nodes: 6045- nodes: 6045- degrees of freedom: 40633

COMSOL CONFERENCEMilan, October 14-16 2009

Page 8: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

Simulation: domains and equations

(V= 50 L)

Heat transfer through conduction

Tλ=tTcρ iipi grad div,

(1)

COMSOL CONFERENCEMilan, October 14-16 2009

Page 9: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

Simulation: domains and equations

Heat transfer through conduction

Tλ=tTcρ iipi grad div,

(1)

i=1 steel wall (COMSOL library)

(i=1)

COMSOL CONFERENCEMilan, October 14-16 2009

Page 10: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

Simulation: domains and equations

Heat transfer through conduction

Tλ=tTcρ iipi grad div,

(1)

i=1 steel wall (COMSOL library) i=2 porous material / acetone (g,l) / acetylene (d,f)

( l i l f ti )(i=2) (polynomial functions)

COMSOL CONFERENCEMilan, October 14-16 2009

Page 11: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

Simulation: domains and equations

Heat transfer through conduction

Tλ=tTcρ iipi grad div,

(1)

i=1 steel wall (COMSOL library) i=2 porous material / acetone (g,l) / acetylene (d,f)

( l i l f ti )(polynomial functions)i=3 acetylene (g) (polynomial functions)

(i=3)

COMSOL CONFERENCEMilan, October 14-16 2009

Page 12: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

Simulation: domains and equations

No decomposition / No pressure

Heat transfer through conduction

Tλ=tTcρ iipi grad div,

(1)

i=1 steel wall (COMSOL library) i=2 porous material / acetone (g,l) / acetylene (d,f)

( l i l f ti )(polynomial functions)i=3 acetylene (g) (polynomial functions)

(i=3)

COMSOL CONFERENCEMilan, October 14-16 2009

Page 13: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

Simulation: domains and equations

Heat transfer through conduction/convectionHeat transfer through conduction/convection

(2)TucρTλ=tTcρ jPjjjPj grad grad div ,,

Momentum equation (Navier Stokes)

up=uuu

2 (3)up=uu

t jjj

(3)

Continuity equation

0=ut j

j

(4)

j=1 air (heating up) j=2 water (cooling)

(j)

COMSOL CONFERENCEMilan, October 14-16 2009

Page 14: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

Simulation: boundary settings (heating)

or14)( uzzuzuu (5)

Flame velocity field

maxmax or14)( uzzuzuu

maxmax or14)( vrrvrvv

(5)

(6)

Both currents are at Tflame = 1000°C

COMSOL CONFERENCEMilan, October 14-16 2009

Page 15: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

Simulation: results (heating)

Initial temperature: 15°C T [°C]

vmax = 5 m/s

umax = 2 m/s

Initial temperature: 15 C

1800

T [ C]

t = 1800 s

COMSOL CONFERENCEMilan, October 14-16 2009

Page 16: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

Simulation: results (heating)

Initial temperature: 15°C T [°C]

vmax = 5 m/s

umax = 2 m/s

Initial temperature: 15 C

1800

T [ C]

t = 1800 s

COMSOL CONFERENCEMilan, October 14-16 2009

Page 17: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

Simulation: results (heating)

Initial temperature: 15°C T [°C]

vmax = 5 m/s

umax = 2 m/s

Initial temperature: 15 C

1800

T [ C]

Gas Cavity

t = 1800 s

T [°

C]

Porous Material 1

Porous Material 2

Critical temperatures can be achieved

t [s]

can be achieved

p0 = 10 bara, T=370°C(V= 3 dm3)

PM1PM2 GC

COMSOL CONFERENCEMilan, October 14-16 2009

(V 3 dm )

Page 18: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

Simulation: results (heating)

Initial temperature: 15°C T [°C]

vmax = 5 m/s

umax = 2 m/s

Initial temperature: 15 C

1800

T [ C]

Gas Cavity

t = 1800 s

T [°

C]

Porous Material 1

Time to explosion

Porous Material 2

p

t [s]

Critical temperatures can be achieved

PM1PM2 GC

can be achieved

p0 = 10 bara, T=370°C(V= 3 dm3)

COMSOL CONFERENCEMilan, October 14-16 2009

(V 3 dm )

Page 19: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

Simulation: results (heating)

Temperature in the gas cavity as a function of: upward gas velocity (range 0 4 m/s)Temperature in the gas cavity as a function of: - upward gas velocity (range 0-4 m/s)- side wind speed (range 0-2 m/s)

600

800

atur

e [°

C]

0.000112.5225.0337.5450.0562.5

600

800

ure

[°C

]

0.000112.5225.0337.5450.0562.5

t = 640 s

0 5

0

200

400

2

4

Tem

pera

/s]

675.0787.5900.0

0

200

400

2

4

m/s]

Tem

pera

tu 675.0787.5900.0

t = 1800 s

0.51.0

1.52.0

0 v max [m

/s

umax [m/s]

0.51.0

1.52.0

0

v max [m

umax [m/s]

[initial temperature: 15°C]

find optimum values

Strong effects on the simulations

COMSOL CONFERENCEMilan, October 14-16 2009

Page 20: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

Simulation: boundary settings (cooling)

Water velocity field

maxmax or14)( vrrvrvv (7)

The current is at Twater = 20-80°C

COMSOL CONFERENCEMilan, October 14-16 2009

Page 21: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

Simulation: results (cooling)

Initial temperature

Water temperature

Time to 350°C

Time to 300°C

[°C] [°C] [h] [h][ C] [ C] [h] [h]400 20 10.1 13.8400 30 10.3 14.1400 80 10 5 15 5400 80 10.5 15.5

Take with caution:- 400°C may be too conservative- 400 C may be too conservative- include acetylene reaction (decomposition)

vmax = 1 m/s

COMSOL CONFERENCEMilan, October 14-16 2009

Page 22: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

Conclusions / Future Work

ConclusionsCOMSOL Multiphysics can help in increase the safe handling of acetylene cylinders involved in fire by predicting the:cylinders involved in fire by predicting the:

- time to explosion due to fire exposure- duration of the cooling with water after the fire

Future workcomparison with experiments (some have been already performed)- comparison with experiments (some have been already performed)

- determination of critical temperatures/pressures for the decomposition- inclusion of the pressure in the model

inclusion of the decomposition reaction- inclusion of the decomposition reaction

COMSOL CONFERENCEMilan, October 14-16 2009

Page 23: Presented at the COMSOL Conference 2009 Milan COMSOL ... · Heat transfer throughHeat transfer through conduction/convection = λ T ρ c u T (2) t T ρc , j P j j div grad , j P j

COMSOL Multiphysics as a Tool to Increase Safety i th H dli f A t l C li d I l d i Fiin the Handling of Acetylene Cylinders Involved in Fires

Fabio FerreroFabio Ferrero

BAM Federal Institute for Materials Research and TestingDivision II.1 “Gases, Gas Plants” Working Group “Safety Related Properties of Gases”Working Group Safety Related Properties of GasesUnter den Eichen 87, D-12205 Berlin, Germany

COMSOL CONFERENCEMilan, October 14-16 2009