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Applied Mechanics Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 Simulation of Mixture Formation and Combustion for Gasoline Direct Injection Engine Using OpenFOAM Chen Huang, Ehsan Yasari and Andrei Lipatnikov Chalmers University of Technology, Sweden
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Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Mar 22, 2021

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Page 1: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

Simulation of Mixture Formation and

Combustion for Gasoline Direct Injection

Engine Using OpenFOAM

Chen Huang, Ehsan Yasari and Andrei Lipatnikov

Chalmers University of Technology, Sweden

Page 2: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

� Goals

� Simulation of gasoline-ethanol hollow-cone sprays� Modifications of spray sub-models� Validations

� On-going work: premixed turbulent combustion

� Conclusions

Outline

Page 3: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

Goals

atomization & breakup

vaporization

ignition

flame propagation

chemical reaction

CH3 CH3

| |

CH3-C-CH2-CH + O2

| |

CH3 CH3

Main goal: Assess the potential of OpenFOAM and further develop it.Another goal: Assess the applicability of various spray models to simulatingsprays discharged by a pintle-type injector (not develop new spray models).

Page 4: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

� Goals

� Simulation of gasoline-ethanol hollow-cone sprays� Modifications of spray sub-models� Validations

� On-going work: premixed turbulent combustion

� Conclusions

Outline

Page 5: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

perturbations

ligaments

parent droplets

child droplets

primary

secondary

A fuel atomization jet*.

*Fantasy of flow: the world of fluid flow captured in photographs. By Kashika Jōhō Gakkai

Illustration of how a hollow-cone spray is modeled numerically.

Illustration of modelling a hollow-cone spray using Lagragian approach

Page 6: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

Function Name

Injector model Unit

Primary breakup

model

Rosin-Rammler

KHRTLISA

Secondary breakup

model

TAB

Reitz-Diwakar

Collision modelO’Rourke

Trajectory

VSB2 spray model.

Pintle

The physical properties of gasoline.*

Spray models in OpenFOAM

*http://www.tfd.chalmers.se/~hani/kurser/OS_CFD_2009/ChenHuang/OFProject0122.pdf

Page 7: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

”breakup” only once

when the size of the

new parcel is bigger

than the parent parcel.

Kelvin-Helmholtz

Rayleigh-Taylor

Droplets’ size

decreases gradually.

The parent

droplets’ size was

updated.

New parcel was

introduced.

RT instability

grows and

cause droplets

breakup after a

certain time.

The KHRT Model

Page 8: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

KHRT-2 Standard KHRT

The mass of the liquid

stripped of the parent

droplets

The radius of parent

droplets after breakupunchanged

The number of child

dropletsnot calculated

Breakup criteria

( ) 34 33

00 rrN f −ρπ ( )∑ 34 3

KHf rNρπ

( )

( )KH

2

0

KH

2

rrrN

rrNr

bb −

=−

3

KH

33

r

NrNrn b−

=

andmm injs ,03.0= injs mm 20.0=0Nn >

Modifications of KHRT model

Correct version in OpenFOAM-2.0.0

src/lagrangian/spray/submodels/BreakupModel/ReitzKHRT

Page 9: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

KHRT-2 vs. standard KHRT

Comparison of measured (symbols) and calculated (lines) gasoline liquid penetration and SMD. Ta=350K, Tf=243K, pa=6bar.

standardKHRT-2

Page 10: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

Injector Models

unit injector pintle injector

Injection direction: randomly distributed within inner cone angle and outer cone angle Injection position: randomly distributed over the circle

Injection direction: randomly distributed within inner cone angle and outer cone angle Injection position: along the ring, depending on injection direction

Page 11: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

Unit and Pintle Injector Models

Comparison of liquid penetration and downstream velocity components Uz

calculated using unit and pintle injector model along the central line of the spray.

pintleunit 0.6 ms

OpenFOAM-2.0.0

src/lagrangian/intermediate/submodels/Kinematic/InjectionModel/ConeNozzleInjection/

Page 12: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

Experimental and Computational Setup

Computational mesh1 754 400 cells

Size 0.78 x 0.78 x 0.85 mm (center)

Experimental setup

(Hemdal et al. SAE 2009-01-1496)

high-speed camera: spray imaging PDA: droplet size(Tfuel=243 K, Tair=350 K, pinj=50, 125, 200 bar)

Page 13: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

Validation, Rosin-Rammler + VSB2 modeleffect of fuel and pinj

Comparison of measured (symbols) and calculated (lines) ethanol liquid penetration and SMD for

different injection pressures. Rosin-Rammler distribution (rm=7.5µm, q=3), VSB2 model. Ta=350K,

Tf=243K.

pinj=200 bar

pinj=125 bar

pinj=50 bar

Page 14: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

Validation, Uniform droplet size + KHRT-2

Comparison of measured (filled symbols) and calculated (lines) liquidpenetration and SMD of gasoline.

pinj=50 bar

pinj=125 bar

pinj=200 bar

Page 15: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

Comparison of measured (filled symbols) and calculated (lines) liquidpenetration of gasoline for different ambient and fuel temperatures.

Validation, Uniform droplet size + KHRT-2

Ta=350 K, Tf=243 K

Ta=295 K, Tf=295 K

Ta=350 K, Tf=320 K

Ta=295 K, Tf=243 K

Page 16: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

Comparison of spray shapesUniform droplet size + KHRT-2

0.18 ms 0.36 ms 0.64 ms 0.82 ms

Gasoline spray shapes measured (first row) and calculatedusing KHRT-2 model (second row) at different instances.Tair=350 K, Tfuel=243 K, pinj=200 bar.

Page 17: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

� Goals

� Simulation of gasoline-ethanol hollow-cone sprays� Modifications of spray sub-models� Validations

� On-going work: premixed turbulent combustion

� Conclusions

Outline

Page 18: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

Basics on premixed turbulent combustion

0=c

1=c

0=c

1=c

flame brush

flamelet

� c: progress variable� b: regress variable (b=1-c)

used in OpenFOAM.� Favre-averaging

(equations become more compact)

ρ

ρcc

_____

~ =ρ

ρTT

______

~=

Page 19: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

Which way is correct in calculating ?T~

)~

1(~~

bTbTT bu −+=

Premixed turbulent combustion theory

Standard OpenFOAM

By BML concept

mmmmm

mm aT

aT

aT

aT

aTa

R

Wh6

554433221

~

5

~

4

~

3

~

2

~~

+++++=

Solving the following eq. which seems like Janaf eq.

www.openfoamworkshop.org/6th_OpenFOAM_Workshop_2011/Program/Abstracts/ehsan_yasari_ab.pdf

Page 20: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

Why is approach in OpenFOAM wrong?

� In OpenFOAM, unburned and burned gases are treated like a multi-component mixture.� But totally different phenomenon.

� Janaf eq. was averaged with error in OpenFOAM.

���≠ ���

Page 21: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

� A number of modifications of the implementation ofvarious spray models in OpenFOAM were done in orderto follow the description of these models in the originalpapers.

� Pintle injector model was implemented in OpenFOAM tosimulate sprays discharged by pintle injector.

� Among these modifications, the change of theimplementation of the KHRT model had the mostimportant effect on the computed penetration length andespecially SMD at high injection pressures.

� Problem of calculating for premixed turbulentcombustion in OpenFOAM was addressed.

Conclusions

T~

Page 22: Simulation of Mixture Formation and Combustion for Gasoline ...Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11 perturbations ligaments parent droplets child

Applied Mechanics

Chen Huang CFD simulation of I.C. engines by OpenFOAM, Milano, 2011/07/11

Thank you for your attention!

[email protected]