Reconstruction of time-averaged temperature of non-axisymmetric turbulent unconfined sooting flame by inverse radiation analysis

Liu, L.H.; Man, Guojia

doi:10.1016/s0022-4073(02)00186-3

Cited by 19 publications

(7 citation statements)

References 15 publications

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“…For isotropic random media, the apparent extinction and absorption process should be polarization independent, then Eq. (3) can be further written as 2  Ω Ω (5) Note that 11 Z is also the corresponding phase function for scalar radiative transfer.…”

Section: Equation Of Polarized Radiative Transfer In Gradient-index Mmentioning

confidence: 99%

Monte Carlo method for polarized radiative transfer in gradient-index media

Zhao

Tan

Liu

2015

Journal of Quantitative Spectroscopy and Radiative Transfer

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Light transfer in gradient-index media generally follows curved ray trajectories, which will cause light beam to converge or diverge during transfer and induce the rotation of polarization ellipse even when the medium is transparent. Furthermore, the combined process of scattering and transfer along curved ray path makes the problem more complex. In this paper, a Monte Carlo method is presented to simulate polarized radiative transfer in gradient-index media that only support planar ray trajectories. The ray equation is solved to the second order to address the effect induced by curved ray trajectories. Three types of test cases are presented to verify the performance of the method, which include transparent medium, Mie scattering medium with assumed gradient index distribution, and Rayleigh scattering with realistic atmosphere refractive index profile. It is demonstrated that the atmospheric refraction has significant effect for long distance polarized light transfer.

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Section: Equation Of Polarized Radiative Transfer In Gradient-index Mmentioning

confidence: 99%

Monte Carlo method for polarized radiative transfer in gradient-index media

Zhao

Tan

Liu

2015

Journal of Quantitative Spectroscopy and Radiative Transfer

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“…[36], a multi-wavelength inversion method was extended to reconstruct the time-averaged temperature distribution in a non-axisymmetric turbulent unconfined sooting flame by the multi-wavelength measured data of low time-resolution outgoing emission and transmission radiation intensities.…”

Section: Light Extinctionmentioning

confidence: 99%

Review of soot measurement in hydrocarbon-air flames

Lou

Chen

Sun

et al. 2010

Sci. China Technol. Sci.

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Soot, which is produced in fuel-rich parts of flames as a result of incomplete combustion of hydrocarbons, is the No. 2 contributor to global warming after carbon dioxide. Developing soot measurement techniques is important to understand soot formation mechanism and control soot emission. The various soot measurement techniques, such as thermophoretic sampling particles diagnostics followed by electron microscopy analysis, thermocouple particle densitometry, light extinction, laser-induced incandescence, two-color method, and emission computed tomography, are reviewed in this paper. The measurement principle and application cases of these measurement methods are described in detail. The development trend of soot measurement is to realize the on-line measurement of multi-dimensional distributions of temperature, soot volume fraction, soot particle size and other parameters in hydrocarbon-air flames. Soot measurement techniques suitable for both small flames in laboratories and large-scale flames in industrial combustion devices should be developed. Besides, in some special situations, such as high-pressure, zero gravity and micro-gravity flames, soot measurement also should be provided. hydrocarbon-air flames, combustion measurement, soot, laser-induced incandescence, emission CT Citation:Lou C, Chen C, Sun Y P, et al. Review of soot measurement in hydrocarbon-air flames.

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“…Liu et al [69,70] analyzed the influence of turbulent fluctuation in the inversion process of the time-averaged temperature distribution in turbulent non-axisymmetric free flame by using low time-resolution outgoing emitted and transmitted radiation intensities. Unlike laminar flames, in turbulent flames the time-averaged radiation signal is not only the function of the time-averaged temperature, but also the function of fluctuating intensity of temperature.…”

Section: Numerical Simulation Of the Interaction Between Turbulence Amentioning

confidence: 99%

“…Wang et al [75] adopted the Backward Monte Carlo method to simulate the three-dimensional temperature distribution in participating media, and the least-square QR decomposition algorithm was used to solve the inverse problem. [70] established an inverse model and algorithm to retrieve the time-averaged temperature distribution in turbulent flame, and retrieved the Reynolds time-averaged temperature profile and absorption coefficient field simultaneously. Ref.…”

Section: Measurement Problemmentioning

confidence: 99%

Recent progress in computational thermal radiative transfer

Tan

Zhao

et al. 2009

Chin. Sci. Bull.

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The equation describing the transfer of radiant energy in semitransparent media is radiative transfer equation. In three-dimensional semitransparent media, radiative intensity is a function of 7 dimensions, which can only be solved through the numerical method in most circumstances. Numerical simulation has become an important way in the study and application of the theory of thermal radiative transfer in semitransparent media. This paper reviews the recent progress of Chinese scholars in the field of computational thermal radiative transfer, and proposes some important subjects in this field for future study. thermal radiation, radiative transfer equation, computational methodFor theoretical study and engineering application of the theory of thermal radiative transfer in semitransparent media, the basic governing equation for the radiative energy transport process is radiative transfer equation (RTE). The RTE for a gray medium with uniform refractive index can be written as [in which r is the vector of spatial position; s is the vector of radiation direction; c 0 is speed of light in vacuum; n is the refractive index; I is the radiative intensity; I b is the black body emission intensity;  a is the absorption coefficient,  s is the scattering coefficient;  is scattering phase function; and t is time. The RTE describes the temporal, spatial and angular variation of the radiative intensity. The last term at the right hand side of eq. (1) includes an angular integration over the whole 4 solid angular space. As such, the radiative intensity of every direction is coupled together for scattering media, which demands for a coupled solution.The RTE is an integral-differential equation. Taking s as a velocity vector, ( , , )  I t s r s serves the role as a convection term, hence the RTE can be considered as a special kind of convection diffusion equation. Because radiative intensity is related to wavelength, time, spatial coordinates, and angular direction, which is a function of 7 variables in three-dimensional semitransparent media. Hence it is difficult to obtain analytical results and only numerical methods can be used in most cases. Nowadays, with the popularization of high performance computers, numerical simulation has become a very important tool for theoretical studies and engineering applications of the theory of thermal radiative transfer in semitransparent media. The already developed numerical methods in recent years for solving the RTE can be divided into two groups [3] : (1) methods based on ray tracing technique, and (2) methods based on global discretization of the differential form of the RTE. For the first group of methods, to trace the ray trajectory is essential to obtaining

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Reconstruction of time-averaged temperature of non-axisymmetric turbulent unconfined sooting flame by inverse radiation analysis

Cited by 19 publications

References 15 publications

Monte Carlo method for polarized radiative transfer in gradient-index media

Monte Carlo method for polarized radiative transfer in gradient-index media

Review of soot measurement in hydrocarbon-air flames

Recent progress in computational thermal radiative transfer

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