COMPUTATIONAL MODELING OF PRESSURE

EFFECTS FROM HYDROGEN EXPLOSIONS

COMPUTATIONAL MODELING OF PRESSURE

EFFECTS FROM HYDROGEN EXPLOSIONS

Granovskiy E.A., Lifar V.A., Skob Yu.A., Ugryumov M.L.

Scientific Center of Risk Investigations “Rizikon“, Ukraine

Mathematical model Mathematical model

Computational model of gas cloud explosion

Total system of the time-dependent equations describing the three-

dimensional multi-component gas mixture flow

Total system of the time-dependent equations describing the three-

dimensional multi-component gas mixture flow

fzd

yc

xb

ta

TE,w,v,u,a

T2 u)PE(,uw,uv,uP,ub

T2 v)PE(,vw,vP,vu,vc

T2 w)PE(,wP,wv,wu,wd

Tgv,0,g,0,0f

The law of admixture component transfer The law of admixture component transfer

Qz

)wQ(

y

)vQ(

x

)uQ(

t

)Q(

)( gradQdiv DQ

Gas mixture explosion model

Gas mixture explosion model

mass of combustible participating in burning:

mass of combustible not participating in burning:

maxmin, QQQVQm

max0 , QQVQm

the oxidant mass in the mixture:

The mass concentrations of mixture components

total mixture mass in the volume where the burning process occurs:

min, QQVm

0mmmm

m

mQ

m

mQ 00

0QQ1

m

mQ

the excess air factor in the mixture:

Q

QQ1

m

m

0

0

0

where stoichiometric number:

m

mth0

In the case when the thermophysical properties of the gas mixture after an explosion :

1

0

c

000 QQ1QQ111

p0cp0p00p CQCQ1CQQ11C

v0cv0v00v CQCQ1CQQ11C

v

p

C

Ck

In the case when the thermophysical properties of the gas mixture after an explosion :

1

v

p

C

Ck

Q1Q1 00

c

0

0

cpcpcp CQCQ1C

cvcvcv CQCQ1C

pressure, temperature and density of gas mixture

a

0

0ua

thu PVQ

1kmQQ1HP

V

1kmHP

унmR

PVT

V

m

mathematical model verification

(experiments at Fraunhofer ICT)

mathematical model verification

(experiments at Fraunhofer ICT)

Pressure distribution in the plane XOZ near the ground (t=0.33 s)

Pressure distribution in the plane XOZ near the ground (t=0. 44 s)

Pressure distribution in the plane XOZ near the ground (t=0. 44 s)

Pressure history in the point B near the ground Pressure history in the point B near the ground

Pressure history in the point C near the ground Pressure history in the point C near the ground

Overpressure distribution in front of the shock wave (explosion of stoichiometric propane-air mixture)

1 –computational results, 2 – regressive dependence, 3 – experimental data

Overpressure distribution in front of the shock wave (explosion of stoichiometric propane-air mixture)

1 –computational results, 2 – regressive dependence, 3 – experimental data

Computation of hydrogen cloud explosion

Computation of hydrogen cloud explosion

Hydrogen cloud explosion nearby residential area

The distribution of the hydrogen volume concentration before a moment of explosion

Pressure distribution in the planes:

XOZ near the ground (a), YOZ (b)

Pressure history in the points: B (a) and C (b) explosion

Distant hydrogen cloud explosion

pressure distribution

Pressure history in the points: B (a) and C (b) explosion

Distant banked explosion of hydrogen cloud

hydrogen volume concentration distribution before a moment of the banked distant explosion

Pressure distribution

Distant partly banked explosion of hydrogen cloud

hydrogen volume concentration distribution before a moment of the partly banked distant explosion

Pressure distribution

Distant explosion partly surrounded with higher banks

hydrogen volume concentration distribution before a moment explosion

pressure distribution in the planes:

XOZ near the ground (a), YOZ (b)

Distant hydrogen explosion with the use of bumper walls

Pressure distribution in planes: XOZ near the ground (a), YOZ (b)

Pressure history in a point C

CONCLUSIONSCONCLUSIONS

The mathematical model of the gas-dynamics processes of the two-agent explosive gas mixture formation, its explosion and dispersion of the combustion materials in the open atmosphere was developed.

The finite-difference approximation was developed for the case of three-dimensional system of the gas dynamics equations complemented by the mass conservation laws of the gas admixture and combustion materials.

The algorithm of the computation of the thermo-physical parameters of the gas mixture resulting after instantaneous explosion taking into account the chemical interaction was developed.

The verification of the mathematical model showed an acceptable accuracy in comparison with the known experimental data that allowed using it for the modeling of consequences of the possible failures at industrial objects which store and use hydrogen.

The computational modeling of the gas hydrogen explosion at the fuel station was carried out.

The analysis of the different ways of protecting the surrounding buildings from the shock wave destructive impact was conducted. It was revealed that the considered types of the protective installations (partial or complete banking, bumper walls) had an influence on the pressure distribution in the computation area but did not allow bringing the maximal overpressure down to the safe level.

It was concluded that a bumper wall immediately in front of the protected object was one of the most effective protective installation. It is necessary to take into account a three-dimensional character of the shock wave in order to select safe dimensions of the protection zone around the hydrogen storage facilities.