mini_pro_res1_2

1
0.94 0.95 0.96 0.97 0.98 0.99 1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 (A) κ=0.95 Normalized Dimensionlized velocity (u) Dimensionlized radial direction ( η ) 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Dimensionlized radial direction ( η ) Normalized Dimensionlized velocity (u) (B) κ=0.4 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Dimensionlized radial direction ( η ) Normalized Dimensionlized velocity (u) (C) κ=0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Dimensionlized radial direction ( η ) Normalized Dimensionlized velocity (u) (D) κ=1e-7 increasing x* increasing x* increasing x* increasing x* red is fully developed red is fully developed red is fully developed red is fully developed

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developing flow in a pipe

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  • 0.94 0.95 0.96 0.97 0.98 0.99 10

    0.1

    0.2

    0.3

    0.4

    0.5

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    0.7

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    0.9

    1(A) =0.95

    Nor

    mal

    ized

    Dim

    ensio

    nlize

    d ve

    locit

    y (u)

    Dimensionlized radial direction ()0.4 0.5 0.6 0.7 0.8 0.9 10

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1

    Dimensionlized radial direction ()

    Nor

    mal

    ized

    Dim

    ensio

    nlize

    d ve

    locit

    y (u)

    (B) =0.4

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1

    Dimensionlized radial direction ()

    Nor

    mal

    ized

    Dim

    ensio

    nlize

    d ve

    locit

    y (u)

    (C) =0.1

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1

    Dimensionlized radial direction ()

    Nor

    mal

    ized

    Dim

    ensio

    nlize

    d ve

    locit

    y (u)

    (D) =1e7

    increasing x*

    increasing x*

    increasing x*

    increasing x*

    red is fully developed

    red is fully developed

    red is fully developed

    red is fully developed