# A numerical analysis of ignition to steady downward flame spread over a thin solid fuel

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### Cites result from "A numerical analysis of ignition to..."

...In comparison with other values found in the literature, our ks coincides within the error band with the value used by di Blasi (1994), although other authors employ thermal conductivities for cellulose samples that are 20% higher (see e.g., Chen, 1990; di Blasi et al., 1988; Frey and T’Ien, 1979; Wu and Chen, 2003)....

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...…other values found in the literature, our ks coincides within the error band with the value used by di Blasi (1994), although other authors employ thermal conductivities for cellulose samples that are 20% higher (see e.g., Chen, 1990; di Blasi et al., 1988; Frey and T’Ien, 1979; Wu and Chen, 2003)....

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##### References

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### "A numerical analysis of ignition to..." refers methods in this paper

...The numerical scheme adopts the SIMPLE algorithm (Patankar, 1980)....

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356 citations

### "A numerical analysis of ignition to..." refers background or result in this paper

...This trend coincides with the thermal theories of de Ris (1969) and experiments by Lastrina et al. (1971) and Suzuki et al. (1994)....

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...Note that the exponent,70.81, on the thickness correlation is not the same as 71, which was predicted by de Ris (1969) and Delichatsios (1986)....

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...Figure 9 reports the flame-spread rates, as a function of the fuel halfthickness, predicted by this numerical model, the thermal theory of de Ris (1969), and the work of Delichatsios (1986), respectively....

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...On the other hand, de Ris’ theory, (de Ris, 1969) predicted that flame-spread rate is independent of induced flow for thermally thin fuel....

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266 citations

### "A numerical analysis of ignition to..." refers methods in this paper

...Several experiments and models, such as those by Fernandez-Pello and Hirano (1983), Chen and Hou (1991), Olson (1987, 1991), and Sacksteder and T’ien (1994), indicated that the ambient oxygen concentration will alter flame behavior....

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162 citations

### "A numerical analysis of ignition to..." refers background in this paper

...Mikkola and Wichman (1989) developed a theoretical model to predict the ignition delay time using an energy balance....

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...We define the gas-phase ignition as occurring as soon as its dimensional reaction rate ð _ oFÞ reaches 10(74) g=cm(3) s, according to Nakabe et al. (1994) and Ferkul and T’ien (1994)....

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142 citations

### "A numerical analysis of ignition to..." refers methods in this paper

...Several experiments and models, such as those by Fernandez-Pello and Hirano (1983), Chen and Hou (1991), Olson (1987, 1991), and Sacksteder and T’ien (1994), indicated that the ambient oxygen concentration will alter flame behavior....

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