Radiative transfer in two-dimensional anisotropic scattering media with collimated incidence

Kim, Tae-Kuk; Lee, HaeOk Skarda

doi:10.1016/0022-4073(89)90086-1

Cited by 68 publications

(18 citation statements)

References 9 publications

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“…The elliptic gas phase equations are solved numerically using SIMPLER algorithm (Patankar, 1980) and the equation of radiative transfer is solved by S-N discrete ordinates method (Fiveland, 1984;Kim and Lee, 1989), in which the solid angle is discretized by selecting an ordered set of directions spanning the total solid angle of 4p with predetermined weights. The two-dimensional S4 scheme with 12 ordinate directions is used in the current computations with reasonable accuracy (Jiang et al, 1996).…”

Section: Methodsmentioning

confidence: 99%

Computed Flammability Limits and Spreading Rates of Upward Flame Spread over a Thin Solid in Low-Speed Buoyant Flows

Shih

2009

Combustion Science and Technology

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Upward flame spread over a thin solid in low-speed buoyant flows was studied numerically with a previous established two-dimensional model. In natural convective environments, steady flame spreading was achieved in partial gravity and reduced pressure. The effects of environmental parameters, including gravity level, ambient pressure, and oxygen percentage, on flame structures, flame spread rates, and flammability limits were investigated, especially for the pressure effects, as it was not previously examined in detail. At reduced pressure, flame is shorter but thicker. Flame length and upward flame spread rates increased with pressure to a power larger than unity. The spreading rates also increased linearly with gravity, with a slope depending on pressure. The extinction boundary using pressure and gravity level as coordinates were constructed and compared with limited available experimental results for the buoyant, reduced pressure flames.

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Section: Methodsmentioning

confidence: 99%

Computed Flammability Limits and Spreading Rates of Upward Flame Spread over a Thin Solid in Low-Speed Buoyant Flows

Shih

2009

Combustion Science and Technology

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“…Four phase functions were considered: three of the HenyeyeGreenstein type with asymmetry factors of 0.2, 0.8 and 0.93 and a Mie phase function with a strong forward peak (corresponding to an asymmetry factor of 0.93 in a realistic case taken from a mist application with a size parameter of 245). The results revealed that the DOM combined with the classical procedures of the renormalization of the phase function proposed by Kim and Lee [1,5] and Wiscombe [6] becomes inaccurate when the phase function exhibits a strong forward peak. For such scattering media the renormalization techniques induce a deformation of the discretized phase function, leading to an overestimation of the forward scattering.…”

Section: Introductionmentioning

confidence: 94%

Acute anisotropic scattering in a medium under collimated irradiation

Consalvi

Boulet

2011

International Journal of Thermal Sciences

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“…minimising the solid angle extents, e.g. Kim and Lee (1989) used 14 ordinate directions (S 14 ) for presenting benchmark results of collimated incidence in a two-dimensional rectangular, anisotropic scattering medium. Hachicha (2013) illustrates the reduction in the ray effect by increasing the number of control angles in eight separate test cases in his PhD thesis.…”

Section: Overcoming Do Shortcomings In Ray Tracingmentioning

confidence: 99%

A novel computational approach to combine the optical and thermal modelling of Linear Fresnel Collectors using the finite volume method

2015

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A computational approach is presented, which uses the finite volume (FV) method in the Computational Fluid Dynamics (CFD) solver ANSYS Fluent to conduct the ray tracing required to quantify the optical performance of a line concentration Concentrated Solar Power (CSP) receiver, as well as the conjugate heat transfer modelling required to estimate the thermal efficiency of such a receiver. A Linear Fresnel Collector (LFC) implementation is used to illustrate the approach. It is shown that the Discrete Ordinates method can provide an accurate solution to the Radiative Transfer Equation (RTE) if the shortcomings of its solution are resolved appropriately in the FV CFD solver. The shortcomings are due to false scattering and the socalled ray effect inherent in the FV solution. The approach is first evaluated for a 2-D test case involving oblique collimated radiation and then for a more complex 2-D LFC optical domain based on the FRESDEMO project. For the latter, results are compared with and validated against those obtained with the Monte Carlo ray tracer, SolTrace. The outcome of the FV ray tracing in the LFC optical domain is mapped as a non-uniform heat flux distribution in the 3-D cavity receiver domain and this distribution is included in the FV conjugate heat transfer CFD model as a volumetric source. The result of this latter model is the determination of the heat transferred to the heat transfer fluid running in the collector tubes, thereby providing an estimation of the overall thermal efficiency. To evaluate the effectiveness of the phased approach in terms of accuracy and computational cost, the novel 2-D:3-D phased approach is compared with results of a fully integrated, but expensive 3-D optical and thermal model. It is shown that the less expensive model provides similar results and hence a large cost saving. The novel approach also provides the benefit of working in one simulation environment, i.e. ANSYS Workbench, where optimisation studies can be carried out to maximise the performance of linear CSP reflector layout and receiver configurations.

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Radiative transfer in two-dimensional anisotropic scattering media with collimated incidence

Cited by 68 publications

References 9 publications

Computed Flammability Limits and Spreading Rates of Upward Flame Spread over a Thin Solid in Low-Speed Buoyant Flows

Computed Flammability Limits and Spreading Rates of Upward Flame Spread over a Thin Solid in Low-Speed Buoyant Flows

Acute anisotropic scattering in a medium under collimated irradiation

A novel computational approach to combine the optical and thermal modelling of Linear Fresnel Collectors using the finite volume method

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