Quantifying Uncertainties in Mean Absorption Coefficients for a Wall-Stabilized Electric Arc
DOI:
https://doi.org/10.14311/ppt.2017.2.129Keywords:
sensitivity, mean absorption coefficient, P1 model, optimization, arc simulationAbstract
The quality of arc simulations depends significantly on radiation modeling. Uncertainties due to physical parameters and modeling errors should be systematically quantified. We solve the energy balance equation for a wall-stabilized arc using the P1 model, i.e. without a prescribed temperature profile. We derive the linearized equation and assess the arc voltage sensitivity. This method allows us to optimize the definition of mean absorption coefficients consistently and at low computational costs.References
M. F. Modest. Radiative heat transfer. Elsevier Science, San Diego, third edition, 2013.
J. J. Lowke. Predictions of arc temperature profiles using approximate emission coefficients for radiation losses. J Quant Spect and Rad Transfer, 14(2):111–122, 1974. doi:10.1016/0022-4073(74)90004-1.
H. Z. Randrianandraina, Y. Cressault, and A. Gleizes. Improvements of radiative transfer calculation for SF6 thermal plasmas. J Phys D: Appl Phys, 44(19):194012, 2011. doi:10.1088/0022-3727/44/19/194012.
P. Kloc, V. Aubrecht, M. Bartlova, and O. Coufal. Radiation transfer in air and air-Cu plasmas for two temperature profiles. J Phys D: Appl Phys, 48(5):055208, 2015. doi:10.1088/0022-3727/48/5/055208.
H. Nordborg and A. A. Iordanidis. Self-consistent radiation based modelling of electric arcs: I. Efficient radiation approximations. J Phys D: Appl Phys, 41(13):135205, 2008. doi:10.1088/0022-3727/41/13/135205.
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