Convective Burning for Specific Flow Conditions

The stagnant layer analysis offers a pedagogical framework for presenting the essence of diffusive burning. For the most part the one-dimensional stagnant layer approximated a two-dimensional boundary layer in which 6 = 5(x), with x the flow direction. For a convective boundary layer, the heat transfer coefficient, hc, is defined as 

This crude approximation allows us to extend the stagnant layer solution to a host of convective heat transfer counterpart burning problems. Recall that for Equations (9.41) and (9.42), we can write 

Thus we see that the reference temperature should have been Y(h[2c hc/(cpr) +TX, which is slightly different from Equation (9.56a). Nevertheless, we see that 

The blocking factor can alternatively be written from Equation (9.60) as 

To obtain approximate solutions for convection heating problems, we only need to identify a heat transfer problem that has a given theoretical or empirical correlation for hc. This is usually given in the form of the Nusselt number (Nu), 

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