## 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:

$\rho \upsilon {c}_{p}\left(\frac{dT}{dy}\right)=\lambda \left(\frac{{d}^{2}T}{d{y}^{2}}\right)+\dot{H}$

(6.142)

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

Get *Combustion, 5th Edition* now with O’Reilly online learning.

O’Reilly members experience live online training, plus books, videos, and digital content from 200+ publishers.