Radiation transfer computation in cylindrical arc columns using a Monte Carlo method

Gogel, T.; Sedghinasab, A.; Keefer, Dennis

doi:10.1016/0022-4073(94)90008-6

Cited by 9 publications

(4 citation statements)

References 3 publications

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“…This requires significantly more precalculation than any of the previous methods. Alternatively Monte-Carlo methods, such as those described by Gogel et al 25 can be used but these are computationally expensive and impractical for coupling with a full magnetohydrodynamic description 19 .…”

Section: Introductionmentioning

confidence: 99%

Equation of state driven radiative models for simulation of lightning strikes

Apsley,

Millmore,

Nikiforakis

2021

Preprint

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This work is concerned with the numerical simulation of plasma arc interaction with aerospace substrates under conditions akin to lightning strike and in particular with the accurate calculation of radiative heat losses. These are important because they have a direct effect on the calculation of thermal and pressure loads on the substrates, which can lead to material damage under certain conditions. Direct numerical solution of the radiation transport equation (RTE) in mesoscale simulations is not viable due to its computational cost, so for practical applications reduced models are usually employed. To this end, four approximations for solving the RTE are considered in this work, ranging from a simple local thermodynamical behaviour consideration, to a more complex spectral absorption dependent on the arc geometry. Their performance is initially tested on a one-dimensional cylindrical arc, before implementing them in a multi-dimensional magnetohydrodynamics code. Results indicate that inclusion of spectral absorption is necessary in order to obtain consistent results. However, the approaches accounting for the arc geometry require repeated solution of the computationally intensive Helmholtz equations, making them prohibitive for multi-dimensional simulations. As an alternative, a method using the net emission coefficient is employed, which provides a balance between computational efficiency and accuracy, as shown by comparisons against experimental measurements for a plasma arc attaching to an aluminium substrate.

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Section: Introductionmentioning

confidence: 99%

Equation of state driven radiative models for simulation of lightning strikes

Apsley,

Millmore,

Nikiforakis

2021

Preprint

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“…More recently, Gogel et al [5] used a Monte Carlo method to compute radiative transfer and then temperature fields in 1D axisymmetric air and ammonia plasmas.…”

Section: Introductionmentioning

confidence: 99%

“…More recently, Gogel et al [5] have used a Monte Carlo method to compute radiative transfer and then temperature fields in 1D axisymmetric air and ammonia plasmas. They neglected line contributions in the case of air plasmas and took into account some atomic lines for ammonia.…”

Section: Introductionmentioning

confidence: 99%

Effects of radiative transfer modelling on the dynamics of a propagating electrical discharge

Kahhali¹,

Rivière²,

Perrin³

et al. 2010

J. Phys. D: Appl. Phys.

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A radiative transfer methodology is developed for the modelling of coupled radiation, hydrodynamic and electromagnetic phenomena in unsteady air plasma flows. Absorption spectra are discretized according to the distribution functions of the absorption coefficients resulting from different types of radiative transitions, and this spectral model is combined with the differential P 1 approximation which is shown to predict quite accurately radiative source terms. The study of a propagating electrical arc in a 2D channel shows that radiative transfer modelling affects significantly the shape of the plasma and its dynamics. In particular, when compared with the results from the net emission coefficient method, the arc velocity is found to increase due to radiation absorption in the arc boundaries.

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“…In this case, neither the spectral distribution of the radiation intensity nor the coefficient of the radiative heat transfer are known as explicit functions of the temperature, but rather they must be calculated in the framework of the arc model. To avoid this difficulty, Gogel et al [8] calculated the radiation transfer in a cylindrical arc in ammonia using a Monte Carlo method. Born [6] assumed a radial temperature profile and the measured radiation from an arc discharge was compared with calculations.…”

Section: Introductionmentioning

confidence: 99%

Theoretical modelling of high pressure argon arc radiation

Gidalevich

Goldsmith

Boxman

2002

Plasma Sources Sci. Technol.

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A one-dimensional, axisymmetric, high-pressure argon arc was modelled theoretically, and its radiation spectrum was calculated numerically from the equations of heat conductivity and radiation transfer. For a pressure of P = 15 atm, the coefficients of absorption in argon were calculated for the continuum and line spectra. The coefficient of radiative heat conductivity was found, subject to the assumptions that the continuum optical depth is less than unity while the line optical depth is much more than unity. The general heat conductivity was found by neglecting convection, but taking into account radiative conductance and kinetic conductance by ions, electrons and neutral atoms. The radial distributions of the temperature, ionization degree and electrical conductivity were found for arcs with currents I = 880, 990 and 1250 A confined in a transparent tube of radius R = 0.01 m. The degree of ionization was calculated assuming local thermodynamic equilibrium. An effective temperature was calculated in the spectral region of 300-3000 nm. For I = 880 and 1250 A, the effective temperatures were found to be 7500 and 8700 K and the maximum spectral radiant intensities were 7.5 × 10 −8 and 10.5 × 10 −8 W m −2 Hz −1 , respectively.

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Radiation transfer computation in cylindrical arc columns using a Monte Carlo method

Cited by 9 publications

References 3 publications

Equation of state driven radiative models for simulation of lightning strikes

Equation of state driven radiative models for simulation of lightning strikes

Effects of radiative transfer modelling on the dynamics of a propagating electrical discharge

Theoretical modelling of high pressure argon arc radiation

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