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Etude de la combustion de gaz de synthèse issus d'un processus de ...

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Chapter 6<br />

Heat transfer<br />

Wei et al., (2001) and Shudo and Suzuki, (2002) have measured instantaneous heat<br />

transfer coefficients in hydrogen fuelled engines. Wei et al. (2001) found transient heat<br />

transfer coefficients during hydrogen <strong>combustion</strong> to be twice as high as during gasoline<br />

<strong>combustion</strong>. They evaluate heat transfer corre<strong>la</strong>tions and found Woschni’s equation to<br />

un<strong>de</strong>rpredict the heat transfer coefficient by a factor of two.<br />

tel-00623090, version 1 - 13 Sep 2011<br />

Shudo and Suzuki (2002) compared the heat transfer coefficients during stoichiometric<br />

hydrogen and methane <strong>combustion</strong>, finding them to be <strong>la</strong>rger in the case of hydrogen.<br />

The shorter quenching distance of a hydrogen f<strong>la</strong>me is put forward as the cause of this<br />

increased heat transfer, leading to a thinner thermal boundary <strong>la</strong>yer. Furthermore, for<br />

near-stoichiometric <strong>combustion</strong>, f<strong>la</strong>me speeds are high and cause intensified<br />

convection. Hydrogen has also a higher thermal conductivity compared to<br />

hydrocarbons. Shudo and Suzuki, (2002) construct an alternative heat transfer<br />

corre<strong>la</strong>tion with an improved correspon<strong>de</strong>nce with their measurements. However, the<br />

corre<strong>la</strong>tion contains two calibration parameters, <strong>de</strong>pen<strong>de</strong>nt on ignition timing and<br />

equivalence ratio. These <strong>de</strong>pen<strong>de</strong>ncies are started to be the subject of further studies,<br />

so the corre<strong>la</strong>tion is not useful for the present work.<br />

The corre<strong>la</strong>tion by Woschni and Annand have cited to be ina<strong>de</strong>quate [Borman and<br />

Nishiwaki, (1987)], even for gasoline and diesel engines, although the corre<strong>la</strong>tions<br />

have been based on measurements on such engines and use hydrocarbon mixture<br />

properties. However, the <strong>de</strong>velopment of heat transfer corre<strong>la</strong>tion for SI engines is not<br />

within the scope of this work, it was <strong>de</strong>ci<strong>de</strong>d to use the standard mo<strong>de</strong>l of Woschni with<br />

separate values during compression, <strong>combustion</strong> and expansion as reported by<br />

Verhelst and Sierens, (2007). This calibration was ma<strong>de</strong> by matching a simu<strong>la</strong>ted<br />

cylin<strong>de</strong>r pressure trace to a measured pressure trace. The compression heat transfer<br />

coefficient can be calibrated to a motored pressure trace. The other coefficients need<br />

to be set more or less simultaneously.<br />

Turbulent burning velocity<br />

The turbulent burning velocity mo<strong>de</strong>ls need <strong>la</strong>minar burning velocity data of the<br />

air/fuel/residuals mixture at the instantaneous pressure and temperature. As most<br />

mo<strong>de</strong>ls use the <strong>la</strong>minar burning velocity as the local burning velocity, such as the<br />

DamkÖhler mo<strong>de</strong>l, the stretched burning velocity should be used.<br />

179

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