2005
DOI: 10.2478/cttr-2013-0795
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An Approach to Modeling a Burning Cigarette

Abstract: SUMMARYThe temperature and smoke components distributions inside a burning cigarette have been briefly reviewed. Then, focusing on our mathematical model to explain the natural smoldering mechanism of a cigarette and new mathematical models recently published by other authors, an approach to modeling a burning cigarette has been outlined. It has been more than forty years since modeling the burning process of a cigarette was first attempted. Although the modeling work, which has been adopted as a means to rese… Show more

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Cited by 8 publications
(13 citation statements)
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References 28 publications
(31 reference statements)
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“…Mathematical modelling of a burning cigarette has the potential to simulate the main thermal physical and chemical processes that occur as it is smoked (Baker 2006;Muramatsu et al 1979;Muramatsu 2005); however, development of an effective method has proved to be a major challenge owing to the complexity of the process and a general lack of mechanistic and kinetic information (Ohlemiller 1985;Eitzinger & Pirker 2005). Assumptions and simplifications have been made to derive a working model that represents the main processes involved and keeps the targeted smoke chemistry and thermal physics in mind.…”
Section: Computer Modellingmentioning
confidence: 99%
See 1 more Smart Citation
“…Mathematical modelling of a burning cigarette has the potential to simulate the main thermal physical and chemical processes that occur as it is smoked (Baker 2006;Muramatsu et al 1979;Muramatsu 2005); however, development of an effective method has proved to be a major challenge owing to the complexity of the process and a general lack of mechanistic and kinetic information (Ohlemiller 1985;Eitzinger & Pirker 2005). Assumptions and simplifications have been made to derive a working model that represents the main processes involved and keeps the targeted smoke chemistry and thermal physics in mind.…”
Section: Computer Modellingmentioning
confidence: 99%
“…As reviewed by Muramatsu (2005), early modelling work mainly focused on understanding and predicting smoke formation and smoke composition. Subsequently, one-dimensional to three-dimensional models of a free smouldering cigarette with and without puffing, or a smouldering cigarette with a substrate combination have all been attempted (Ohlemiller et al 1993;Eitzinger 2006aEitzinger , 2006bEitzinger & Pirker 2005;Mitler & Walton 1993;Saidi et al 2006).…”
Section: Computer Modellingmentioning
confidence: 99%
“…Muramatsu [62] and by Eitzinger and Pirker [63] recently reviewed modeling approaches taken since the earliest theoretical research by Sir Alfred Egerton in 1962. [64].…”
Section: Recent Advanced Research and Developmentmentioning
confidence: 99%
“…Muramatsu of the Tobacco Institute of Japan [62] and scientists at WFT Research, a paper manufacturer affiliated with Trierenberg [63] developed other mathematical models of cigarette smoldering including simulation of the thermodynamics of cigarettes during smoldering and puffing in free air and when lying on a substrate and prediction of linear burn rate. This model suggests that low diffusion coefficients are required for high self-extinguishment rates in print-banded papers.…”
Section: Recent Advanced Research and Developmentmentioning
confidence: 99%
“…Let z 0 R N denote a vector of cigarette model parameters. In order to predict the probability we define a function [9] and the probability that a cigarette passes the tests can then be calculated by evaluating the integral [10] where P (Z = z) denotes the probability that the random cigarette parameters Z assume the value z. To keep the numerical complexity at a reasonable level we will consider the variation of only two parameters at a time.…”
Section: Statistical Considerationsmentioning
confidence: 99%