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Anomalies of Joule heat, thermal and turbulent flow fields in clogged industrial channel induction furnaces S.Pavlovs (1) , A.Jakovics (1) , D.Bosnyaks (1) , B. Nacke (2) , E. Baake (2) (1) Laboratory for Mathematical Modelling of Environmental and Technological Processes, Faculty of Physics and Mathematics, University of Latvia (2) Institute of Electrotechnology, Leibniz University of Hannover HES-13 International Conference on Heating by Electromagnetic Sources May 21-24, 2013 Padua, Italy

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  • Anomalies of Joule heat,

    thermal and turbulent flow fields

    in clogged industrial channel induction furnaces

    S.Pavlovs(1), A.Jakovics(1), D.Bosnyaks(1), B. Nacke(2), E. Baake(2)

    (1) Laboratory for Mathematical Modelling of Environmental and

    Technological Processes,

    Faculty of Physics and Mathematics, University of Latvia

    (2) Institute of Electrotechnology, Leibniz University of Hannover

    HES-13 – International Conference

    on Heating by Electromagnetic Sources

    May 21-24, 2013

    Padua, Italy

  • Reduced operation life time of CIF channel

    caused by erosion, infiltration and in particular

    clogging (build up formations) of the ceramic lining

    Existing problems

    in Channel Induction Furnace (CIF)

    Build up in channel* Constricted throat opening*

    * Williams, D.C. and Naro R.L. (2007), “Mechanism and control of build up phenomenon in channel induction and

    pressure pouring furnaces” (part 1), Ductile Iron News, Issue 1.

  • Schemes of build-up formation*

    Existing problems in CIF

    throat channel outlet

    Clogging of the ceramic lining is influenced by:

    heat and mass exchange between channel and bath

    temperature distribution along the channel

    melt flow velocity distribution in the channel

    non-conductive sediments’ influence on ICF parameters

    impurities’ distribution in the melt

    (especially oxides like MgO, Al2O3, etc.)

    and many others...

    * (Williams D.C. et al., 2007)

  • Computed models of industrial CIF

    Build-up channel model –

    CIF with narrowed (25%)

    left channel branch

    Geometry for modelling of EM field

    Clogged throat model –

    CIF with sediments

    in form of “hill”

    Non-clogged model –

    CIF original design

    Inductor current amplitude is fixed at 1850 A

  • Peculiarities of numerical computations

    Structured mesh for HD and thermal fields:

    • software package ANSYS ICEM 14.0

    • number of elements ~ 2.5–3.5 million

    Flow patterns and thermal field in the melt:

    √ steady-state k-ω SST model –

    for obtaining the initial conditions for transient

    k-ω SST model

    √ transient k-ω SST (Shear Stress Transport) model –

    for preliminary analysis

    for obtaining the initial conditions for LES computations

    √ LES (Large Eddy Simulation) model of turbulence –

    for detailed analysis

    • software package ANSYS CFX 14.0

    EM field, Lorentz force and Joule heat:

    • software package ANSYS Classic 14.0

    • number of elements ~ 1–1.5 million

  • Peculiarities of numerical computations

    Parameters under control:

    √ Courant number C

  • Anomalies of velocity field: build-up channel model –

    near outlets to throat for left narrowed and right channel branches

    zzyyxx evevev

    yyxx evev

    zv

  • Non-clogged model – CIF original design* flow time t = 0–700 s

    √ long-term oscillations’ periods for Tmax and α

    √ time delay between extremes

    of Tmax position α and Tmax itself –

    τ ~ 40 sec

    sec 163 ~oscil

    T

    osciltt max

    Temperature distribution in the channel for y=0: maximum Tmax and its position α

    √ Tmax lags in phase in comparison with α

    √ overheating temperature

    Θ ~ 32 K

    √ time-averaged transit velocity for x=0

    cm/s 2.8 ~vavertrans

    throatchannel TT

    * Baake, E., Jakovics, A., Pavlovs,S., Kirpo M., (2010), “Long-term computations of turbulent flow and temperature field

    in induction channel furnace with various channel design”, Magnetohydrodynamics, Vol. 46, No. 4, pp. 317-330.

  • Clogged throat model

    flow time periods & models of turbulence

    t = 0–27 sec – with k-ω SST

    t = 27–45 sec – with LES

    Maximum of instantaneous temperature Tmax (K) and angle α (˚) of its position for y = 0

    Averaged for cross-section x=0 (bottom of channel loop) temperature Taver (K)

  • Clogged throat model

    1.72·107 W/m3

    y=0

    Instantaneous

    temperature (t = 45 sec)

    Joule heat power

    Noticeable

    concentration

    in zone

    near sediments

    Overheating temperature

    Θ ~ 48 K

    (at 250 kW)

    for non-clogged model

    Θ ~ 32 K

    (at 215 kW)

    Time-averaged

    temperature (t = 27–45 sec)

    1.9·107 W/m3 x=0

    y=0 y=0

    y=0

  • Clogged throat model

    Noticeable redistribution of

    turbulent kinetic energy

    and rise of maximum value ~1.9 m2/s2,

    which is comparable with TKE value

    in channel loop 2.1 m2/s2

    Local maxima of instantaneous temperature

    near the surface of sediments “hill”

    are smaller in comparison with values

    in channel loop

    Noticeable changes of melt flow structure –

    intensive upstream

    with instantaneous velocity maximum

    ~1.8 m/s

    x=0

    x=0

    x=0

  • Build-up channel model

    flow time periods & models of turbulence

    t = 0–60 sec – with k-ω SST

    t = 60–90 sec – with LES

    Maximum of instantaneous temperature Tmax (K) and angle α (˚) of its position for y = 0

    Averaged for cross-section x=0 (bottom of channel loop) and for cross-sections

    z=0.394 m (outlet of narrowed left channel branch to throat) temperature Taver (K)

  • Build-up channel model

    Instantaneous

    temperature (t = 90 sec)

    Joule heat power

    Noticeable

    concentration

    in build-up zone

    Overheating temperature

    Θ ~ 37 K

    (at 223 kW)

    for non-clogged model

    Θ ~ 32 K

    (at 215 kW)

    Time-averaged

    temperature (t = 85–90 sec)

    1.62·107 W/m3

    6.7·107 W/m3

    y=0 y=0

    y=0 y=0

  • Build-up channel model

    Channel left outlet is zone

    of prevailing generation

    of turbulent kinetic energy –

    the maximum values of TKE are ~ 4.7 m2/s2

    (the value in channel loop

    ~ 2.1 m2/s2)

    The absence of melt overheating zone

    in narrowed channel branch

    may be explained by extremely intensive

    melt flow near outlet to throat

    Maximum values of instantaneous velocity

    component, which is perpendicular

    to the outlet cross-section

    of narrowed left channel branch,

    are extremely larger (up to 2–4 times)

    than ones for right channel branch

    y=0 y=0

    y=0

  • Characteristic parameters

    of computed models Clogged

    throat model Build-up

    channel model Non-clogged

    model

    Joule heat power • integral (kW) 250 223 215 • maximum value (W/m3) 1.9·107 6.7·107 1.74·107

    • position of maximum throat bottom at sediments

    base

    narrowed zone of left channel

    branch

    channel loop zone facing

    yoke

    Time-averaged temperature (K):

    • maximum value in the channel ~1864 ~1832 ~1805

    • overheating temperature ~48 ~37 ~32 Velocity (m/s) • instantaneous velocity’s maximum in clogging zone

    ~1.8 ~3.0 ~1.7

    (channel outlet)

    • fluctuations in time of transit velocity (x-component of velocity area-averaged for cross-section x=0)

    from –0.066 till 0.021

    from –0.075 till 0.093

    from –0.097 till 0.092

    • time-averaged value of transit velocity –0.020 –0.009 –0.028

  • Conclusions

    √ The results of numerical modelling of physical fields

    distributions in industrial CIFs with build-up channel and clogged

    bottom of throat show, that their parameters noticeable differ

    from characteristic of non-clogged CIF. The anomalies may

    negatively influence on CIF operation.

    √ As anomaly of chosen field (e.g. Joule heat maxima) does not

    automatically indicate the cause of anomaly of another physical

    field (e.g. local overheating), for estimations of CIF clogging

    sequences it is necessary the application of complex analysis of

    physical fields.

    √ Presented results of research show the effectiveness of LES

    study of industrial CIFs with geometry, which has been

    noticeably varied during operation period due to non-conductive

    build-up, clogging or erosion of ceramic lining and especially for

    CIFs with extremely narrowed channel branch.

  • HES-13 – International Conference

    on Heating by Electromagnetic Sources

    May 21-24, 2013

    Padua, Italy

    Thank you for attention!

    The current research was performed

    with the financial support of the ERAF project

    of the University of Latvia,

    contract No. 2011/0002/2DP/2.1.1.1.0/10/APIA/VIAA/085

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    LauretaTypewritten Text IEGULDĪJUMS TAVĀ NĀKOTNĒ

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