6.5. Burning in Convective Atmospheres

6.5.1. The Stagnant Film Case

The spherical-symmetric fuel droplet burning problem is the only quiescent case that is mathematically tractable. However, the equations for mass burning may be readily solved in one-dimensional form for what may be considered the stagnant film case. If the stagnant film is of thickness δ, the free-stream conditions are thought to exist at some distance δ from the fuel surface (see Figure 6.16).
Within the stagnant film, the energy equation can be written as:

ρυcp(dTdy)=λ(d2Tdy2)+H˙

image (6.142)

With b defined as before, the solution of this equation and case proceeds as follows. Analogous ...

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