Comparison of the Finite-Volume and Discrete-Ordinate Methods and Diffusion Approximation for the Radiative Heat Transfer Equation

Litvintsev, K Yu; Дектерев, А. А.

doi:10.1615/heattransres.v39.i8.10

Cited by 5 publications

(2 citation statements)

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“…The radiative heat transfer was modeled with the discrete ordinate method. The gas absorption coefficient was found using the weighted-sum-of-gray-gases-model (WSGGM) (Litvintsev and Dekterev, 2008). The system of differential equations for mass, momentum, and energy transfer, as well as for turbulence parameters, was discretized using the finite-volume method (Patankar, 1991).…”

Section: Resultsmentioning

confidence: 99%

Numerical simulation of an oil–gas fire: A case study of a technological accident at Tengiz oilfield, Kazakhstan (June 1985–July 1986)

Kokh

Дектерев

Sokol

et al. 2016

Energy Exploration & Exploitation

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A gusher from accident well 37 at the Tengiz oilfield (Kazakhstan) led to a catastrophic fire and produced melt combustion metamorphic rocks in its thermal halo (aureole). According to the obtained data on the mineralogy and petrology of the combustion metamorphic rocks and inferred thermal conditions of metamorphism, the protolith sand and clay can become fully molten at a temperature no lower than 1200 C. Four models have been tested for the thermal effect of the Tengiz fire on the country rocks: (a) a single straight-flow vertical gas flare, (b) a single vertical gas flare with oil droplets, (c) a single oil-gas flare with lateral wind load, and (d) a composite oil-gas flare consisting of one vertical and two horizontal spouts. Modeling with SigmaFlow software takes into account the spatial turbulent airflow mechanics of the flare, convective, and radiative heat transfer, burning of gas and oil droplets, as well as conductive heat flux in soil. Model 4 simulates the best the Tengiz fire in the period from 26 June 1985 to 05 September 1986. As the model predicts, a flare with the parameters as in the Tengiz case can cause partial melting of sedimentary material (1100 C) in a local zone but cannot maintain its bulk melting which requires higher temperatures (1200-1400 C). Additional heat may have come from ignition of oil spilled over the surface. The heat from a single oil-gas flare from a wellhead with a 0.5-m stickup turns out to be insufficient for combustion metamorphism (T ¼ 1000-1400 C).

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Section: Resultsmentioning

confidence: 99%

Numerical simulation of an oil–gas fire: A case study of a technological accident at Tengiz oilfield, Kazakhstan (June 1985–July 1986)

Kokh

Дектерев

Sokol

et al. 2016

Energy Exploration & Exploitation

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“…The Discrete Ordinates (DO) radiation model for spectral intensity is [ 12 , 15 ]:

where λ is the wavelength, a λ is the spectral absorption coefficient, and I bλ is the black body intensity provided by the Planck function.…”

Section: The Governing Equations Of Laminar and Turbulent Mixed Comentioning

confidence: 99%

Numerical Study of Entropy Generation due to Coupled Laminar and Turbulent Mixed Convection and Thermal Radiation in an Enclosure Filled with a Semitransparent Medium

Goodarzi

Safaei

Öztop

et al. 2014

The Scientific World Journal

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The effect of radiation on laminar and turbulent mixed convection heat transfer of a semitransparent medium in a square enclosure was studied numerically using the Finite Volume Method. A structured mesh and the SIMPLE algorithm were utilized to model the governing equations. Turbulence and radiation were modeled with the RNG k-ε model and Discrete Ordinates (DO) model, respectively. For Richardson numbers ranging from 0.1 to 10, simulations were performed for Rayleigh numbers in laminar flow (104) and turbulent flow (108). The model predictions were validated against previous numerical studies and good agreement was observed. The simulated results indicate that for laminar and turbulent motion states, computing the radiation heat transfer significantly enhanced the Nusselt number (Nu) as well as the heat transfer coefficient. Higher Richardson numbers did not noticeably affect the average Nusselt number and corresponding heat transfer rate. Besides, as expected, the heat transfer rate for the turbulent flow regime surpassed that in the laminar regime. The simulations additionally demonstrated that for a constant Richardson number, computing the radiation heat transfer majorly affected the heat transfer structure in the enclosure; however, its impact on the fluid flow structure was negligible.

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The 2011 strong fire eruption of Shikhzarli mud volcano, Azerbaijan: a case study with implications for methane flux estimation

et al. 2017

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Comparison of the Finite-Volume and Discrete-Ordinate Methods and Diffusion Approximation for the Radiative Heat Transfer Equation

Cited by 5 publications

References 0 publications

Numerical simulation of an oil–gas fire: A case study of a technological accident at Tengiz oilfield, Kazakhstan (June 1985–July 1986)

Numerical simulation of an oil–gas fire: A case study of a technological accident at Tengiz oilfield, Kazakhstan (June 1985–July 1986)

Numerical Study of Entropy Generation due to Coupled Laminar and Turbulent Mixed Convection and Thermal Radiation in an Enclosure Filled with a Semitransparent Medium

The 2011 strong fire eruption of Shikhzarli mud volcano, Azerbaijan: a case study with implications for methane flux estimation

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