A turbulent fl ame is stabilized by a pilot fl ame at the exit of a $2-$mmdiameter

pipe coannular with a $25-$mm$-$diameter duct. The fl ame is in

the shape of a truncated cone. Assume that the fl ame goes all the way to

the duct wall and that the unburned mixture velocity is uniform. The fl owrate

through the duct is $0\mathrm{.}03$ kg $/$ s$.$ The unburned mixture is at $310$ K at

$1$ atm with a molecular weight of $29\mathrm{.}6$ kg $/$ kmol. Estimate the length of the

fl ame zone, L$,$ if the turbulent burning velocity is $5$ m $/$ s $12\mathrm{.}3$ A turbulent flame is stabilized by a pilot flame at the exit of a $\backslash (2-\backslash$mathrm$\{$mm$\}-\backslash )$ diameter pipe coannular with a $25-$mm$-$diameter duct. The flame is in the shape of a truncated cone. Assume that the flame goes all the way to the duct wall and that the unburned mixture velocity is uniform. The flowrate through the duct is $\backslash (0\mathrm{.}03\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash ).$ The unburned mixture is at $310$ K at $1$ atm with a molecular weight of $\backslash (29\mathrm{.}6\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$kmol$\}\backslash ).$ Estimate the length of the flame zone, $\backslash ($ L $\backslash ),$ if the turbulent burning velocity is $\backslash (5\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$