Estimation of light intensity in a solid-liquid photoreaction system.

Yokota, Toshiyuki; Takahata, Yasuyuki; Nanjo, Hiroshi; Takahashi, Koji

doi:10.1252/jcej.22.537

Cited by 22 publications

(6 citation statements)

References 3 publications

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“…In this case, six different photon fluxes have to be considered, hence the name Six‐Flux Model (SFM). The model bears some similarity with the “random walk model,” a numerical procedure based on a similar initial approach, and proposed by Yokota 17. However, in this work, only numerical solutions were reported; while in the present work, through the solution of differential photon balances, analytical solutions are obtained, from which transmitted and reflected photon fluxes can be calculated once the optical properties of the suspension are known.…”

Section: Six Flux Modelmentioning

confidence: 83%

Relation of regimens of combined hormone replacement therapy to lobular, ductal, and other histologic types of breast carcinoma

Daling

Malone

Doody

et al. 2002

Cancer

131

106

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Heterogeneous photoreactor modeling is a task complicated by the integro‐differential nature of the Radiation Transfer Equation (RTE) when scattering phenomena are important. In the present work, a novel “Six Flux Model” (SFM) is proposed, which may be regarded as a step forward with respect to the previously proposed “Two Flux Model” (TFM). In order to validate the newly proposed model, Monte Carlo simulations of an indefinite plane‐slab photoreactor have been performed. As no simplifying assumptions are involved in this case, the information obtained may be regarded as “pseudo‐experimental,” and therefore compared with the predictions of both TFM and SFM models. Results show that the novel SFM is able to closely match the exact solution of the RTE better than the TFM, still retaining the TFM advantage of a simple closed‐form solution, that is, ease of use, clearer effect of model parameters, and so forth. © 2006 American Institute of Chemical Engineers AIChE J, 2006

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Section: Six Flux Modelmentioning

confidence: 83%

Relation of regimens of combined hormone replacement therapy to lobular, ductal, and other histologic types of breast carcinoma

Daling

Malone

Doody

et al. 2002

Cancer

131

106

View full text Add to dashboard Cite

show abstract

“…The model bears some similarity with the "random walk model," a numerical procedure based on a similar initial approach, and proposed by Yokota. 17 However, in this work, only numerical solutions were reported; while in the present work, through the solution of differential photon balances, analytical solutions are obtained, from which transmitted and reflected photon fluxes can be calculated once the optical properties of the suspension are known.…”

Section: Six Flux Modelmentioning

confidence: 93%

Estimating radiant fields in flat heterogeneous photoreactors by the six‐flux model

et al. 2006

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Heterogeneous photoreactor modeling is a task complicated by the integro-differential\ud nature of the Radiation Transfer Equation (RTE) when scattering phenomena are important.\ud In the present work, a novel “Six Flux Model” (SFM) is proposed, which may be\ud regarded as a step forward with respect to the previously proposed “Two Flux Model”\ud (TFM). In order to validate the newly proposed model, Monte Carlo simulations of an\ud indefinite plane-slab photoreactor have been performed. As no simplifying assumptions\ud are involved in this case, the information obtained may be regarded as “pseudoexperimental,”\ud and therefore compared with the predictions of both TFM and SFM\ud models. Results show that the novel SFM is able to closely match the exact solution of the\ud RTE better than the TFM, still retaining the TFM advantage of a simple closed-form\ud solution, that is, ease of use, clearer effect of model parameters, and so forth

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“…Design methods are very scarce, and in most of the cases, they rely on empirical or semiempirical approximations. Ab initio methods of analysis are possible but not free from difficulties. − Polychromatic radiation transport in participating media (with absorption, scattering, and chemical reaction) is properly represented by a set (in theory, an infinite set) of integrodifferential equations . Only for very simplified and somewhat idealized situations is it possible to get analytical solutions.…”

Section: Introductionmentioning

confidence: 99%

Radiation Field in an Annular, Slurry Photocatalytic Reactor. 2. Model and Experiments

Romero

Alfano

Cassano

2003

Ind. Eng. Chem. Res.

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The radiation field in an annular, slurry photocatalytic reactor has been modeled and verified working with a pilot-plant reactor. A suspension of titanium dioxide in water flows through the annular reaction space, which is irradiated with a tubular, UV lamp placed at the central axis of the system. Two different types of titanium dioxide have been used: Aldrich and Degussa P25. Using a rigorous model, it is possible to precisely evaluate the radiation intensity at each point inside the reactor. The radiation distribution was verified by computing the forwardly transmitted radiative fluxes going out of the reactor walls at different axial positions and compared with radiometer measurements ("point" measurements). Predictions of the same fluxes were also verified with homogeneous actinometry employing potassium ferrioxalate (providing an average measurement of the outgoing fluxes over the reactor external surface). When predictions from the theoretical model are compared with experimental data, good agreement was obtained.

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Estimation of light intensity in a solid-liquid photoreaction system.

Cited by 22 publications

References 3 publications

Relation of regimens of combined hormone replacement therapy to lobular, ductal, and other histologic types of breast carcinoma

Relation of regimens of combined hormone replacement therapy to lobular, ductal, and other histologic types of breast carcinoma

Estimating radiant fields in flat heterogeneous photoreactors by the six‐flux model

Radiation Field in an Annular, Slurry Photocatalytic Reactor. 2. Model and Experiments

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