A metal pipe $($kpipe $515$W$/$m$$K$,$Di$,$pipe $55$cm$,$Do$,$pipe $56$cm$,$and L $510$m$)$situated in an engine room is used for transporting hot saturated water vapor at a flow rate of $0\mathrm{.}03$kg$/$s$.$The water vapor enters and exits the pipe at $325$C and $290$C$,$respectively$.$ Oil leakage can occur in the engine room, and when leaked oil comes in contact with hot spots above the oil$$s autoignition temperature, it can ignite spontaneously. $$Using MATLAB software, evaluate the effect of the saturated water vapor mass flow rate on needed insulation thickness for keeping the outer surface temperature below $180$C to prevent fire hazard if oil leak happens. By varying the mass flow rate from $0\mathrm{.}01$to $0\mathrm{.}1$kg$/$s$,$plot the insulation layer thickness as a function of the mass flow rate. If the flow rate of the saturated water vapor is adjusted between $0\mathrm{.}03$and $0\mathrm{.}1$kg$/$s$,$determine the insulation layer thickness that is suitable for this flow rate range.