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    0 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 01 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 1 0 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 01 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 10 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 01 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 10 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 01 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 1

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    2Ur1

    r22X

    1

    1

    X

    U

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    -

    -

    -

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    0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

    1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

    1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

    1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

    1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

    1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

    *

    CC0 1C

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    c

    c0

    1cII

    mix

    concentrat

    ion

    time

    I

    f(c)

    -

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    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

    0.05

    0.1

    0.15

    0.2

    0.25

    0.3

    0.35

    0.4

    0.45

    0.5

    fuel concentration

    reactionrate

    Magnussen

    PaSR

    PaSR

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    -

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    0 00 00 00 01 11 11 11 10 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1I

    II

    nn

    n

    n

    x

    up

    2

    4

    3

    1

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    -

    i

    i

    x

    vertex i

    base i

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    21

    U U1 2

    Ud

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    0.5x0.5mm

    0.5x1.0mm

    1.0x0.5mm

    1.0x1.0mm

    0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2

    x 103

    0

    1

    2

    3

    4

    5

    6

    time (s)

    2D, 50 bar, 800 K, 6.0 mg NHeptane

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    0 0.0005 0.001

    Time (s)

    0

    2000

    4000

    6000

    8000

    10000

    Relativevelocity(cm/s)

    r0=1.0mu, dr=1.0mu

    r0=0.01mu, dr=1.0mm

    r0=1.0mu, dr=0.5mm

    r0=0.01mu, dr=0.5mm

    No interpolation

    0 0.0005 0.001

    Time (s)

    0

    1

    2

    3

    4

    5

    Leadingdropletposition(c

    m)

    r0=1.0mu, dr=1.0mm

    r0=0.01mu, dr=1.0mm

    r0=1.0mu, dr=0.5mm

    r0=0.01mu, dr=0.5mm

    No interpolation

    0 0.0005 0.001

    Time (s)

    0

    2000

    4000

    6000

    8000

    10000

    Relativevelocity(cm/s)

    r0=1.0mu, dr=1.0mm

    r0=0.01mu, dr=1.0mm

    r0=1.0mu, dr=0.5mm

    r0=0.01mu, dr=0.5mm

    Interpolation

    0 0.0005 0.001

    Time (s)

    0

    1

    2

    3

    4

    5

    Leadingdropletposition(cm)

    r0=1.0mu, dr=1.0mm

    r0=0.01mu, dr=1.0mm

    r0=1.0mu, dr=0.5mm

    r0=0.01mu, dr=0.5mm

    Interpolation

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    -

    -

    0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2

    x 103

    0

    1

    2

    3

    4

    5

    6

    7

    8

    Time (s)

    VaporPenetration,

    10%m

    ass.

    (cm)

    800 K, 50 bar, NHeptane 6.0 mg, dr*dz = 0.5 mm * 1.0 mm

    tkei= 10, scli= 0.01tkei= 10, scli= 0.1tkei= 10, scli=1.0tkei= 1000, scli= 0.01tkei= 1000, scli= 0.1tkei= 1000, scli=1.0tkei=100000, scli= 0.01tkei=100000, scli= 0.1tkei=100000, scli=1.0

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    3

    1 2

    4

    I

    II

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    1 2i

    j

    -

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