The underlying flame
physics can be understood with the help of an idealized model consisting of a uniform one-dimensional tube of unburnt and burned gaseous fuel, separated by a thin transitional region of width \delta\; in which the burning occurs. The burning region is commonly referred to as the flame or
flame front. In equilibrium, thermal diffusion across the flame front is balanced by the heat supplied by burning. Two characteristic timescales are important here. The first is the
thermal diffusion timescale \tau_d\;, which is approximately equal to \tau_d \simeq \delta^2 / \kappa, where \kappa \; is the
thermal diffusivity. The second is the
burning timescale \tau_b that strongly decreases with temperature, typically as \tau_b\propto \exp[\Delta U/(k_B T_f)], where \Delta U\; is the activation barrier for the burning reaction and T_f\; is the temperature developed as the result of burning; the value of this so-called "flame temperature" can be determined from the laws of thermodynamics. For a stationary moving (unclear) deflagration front, these two timescales must be equal: the heat generated by burning is equal to the heat carried away by
heat transfer. This makes it possible to calculate the characteristic width \delta\; of the flame front: \tau_b = \tau_d\;, thus \delta \simeq \sqrt {\kappa \tau_b} . Now, the thermal flame front propagates at a characteristic speed S_l\;, which is simply equal to the flame width divided by the burn time: S_l \simeq \delta / \tau_b \simeq \sqrt {\kappa / \tau_b} . This simplified model neglects the change of temperature and thus the burning rate across the deflagration front. This model also neglects the possible influence of
turbulence. As a result, this derivation gives only the
laminar flame speed—hence the designation S_l\;. ==Damaging events==