Deflagration






A log in a fireplace.


Deflagration (Lat: de + flagrare, "to burn down") is subsonic combustion propagating through heat transfer; hot burning material heats the next layer of cold material and ignites it. Most "fires" found in daily life, from flames to explosions such as that of black powder, are deflagrations. This differs from detonation, which propagates supersonically through shock waves, decomposing a substance extremely quickly.




Contents






  • 1 Applications


  • 2 Oil/wax fire and water


  • 3 Flame physics


  • 4 Damaging events


  • 5 See also


  • 6 References





Applications


In engineering applications, deflagrations are easier to control than detonations. Consequently, they are better suited when the goal is to move an object (a bullet in a gun, or a piston in an internal combustion engine) with the force of the expanding gas. Typical examples of deflagrations are the combustion of a gas-air mixture in a gas stove or a fuel-air mixture in an internal combustion engine, and the rapid burning of gunpowder in a firearm or of pyrotechnic mixtures in fireworks.
Deflagration systems and products can also be used in mining, demolition and stone quarrying via gas pressure blasting as a beneficial alternative to high explosives.



Oil/wax fire and water


Adding water to a burning hydrocarbon such as oil or wax produces a deflagration. The water boils rapidly and ejects the burning material as a fine spray of droplets. A deflagration then occurs as the fine mist of oil ignites and burns extremely rapidly. These are particularly common in chip pan fires, which are responsible for one in five household fires in Britain.[1]



Flame physics


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 δ{displaystyle delta ;}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.[2][3][4][5]


There are two characteristic timescales which are important here. The first is the thermal diffusion timescale τd{displaystyle tau _{d};}tau_d;, which is approximately equal to



τd≃δ2/κ{displaystyle tau _{d}simeq delta ^{2}/kappa }tau_d simeq delta^2 / kappa,

where κ{displaystyle kappa ;}kappa ; is the thermal diffusivity. The second is the burning timescale τb{displaystyle tau _{b}}tau_b that strongly decreases with temperature, typically as



τb∝exp⁡U/(kBTf)]{displaystyle tau _{b}propto exp[Delta U/(k_{B}T_{f})]}tau_bpropto exp[Delta U/(k_B T_f)],

where ΔU{displaystyle Delta U;}Delta U; is the activation barrier for the burning reaction and Tf{displaystyle T_{f};}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 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 δ{displaystyle delta ;}delta; of the flame front:



τb=τd{displaystyle tau _{b}=tau _{d};}tau_b = tau_d;,

thus



δκτb{displaystyle delta simeq {sqrt {kappa tau _{b}}}} delta simeq sqrt {kappa tau_b} .

Now, the thermal flame front propagates at a characteristic speed Sl{displaystyle S_{l};}S_l;, which is simply equal to the flame width divided by the burn time:



Sl≃δb≃κb{displaystyle S_{l}simeq delta /tau _{b}simeq {sqrt {kappa /tau _{b}}}}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 Sl{displaystyle S_{l};}S_l;.



Damaging events


Damage to buildings, equipment and people can result from a large-scale, short-duration deflagration. The potential damage is primarily a function of the total amount of fuel burned in the event (total energy available), the maximum flame velocity that is achieved, and the manner in which the expansion of the combustion gases is contained.


In free-air deflagrations, there is a continuous variation in deflagration effects relative to the maximum flame velocity. When flame velocities are low, the effect of a deflagration is to release heat. Some authors use the term flash fire to describe these low-speed deflagrations. At flame velocities near the speed of sound, the energy released is in the form of pressure and the results resemble a detonation. Between these extremes, both heat and pressure are generated.


When a low-speed deflagration occurs within a closed vessel or structure, pressure effects can produce damage due to expansion of gases as a secondary effect. The heat released by the deflagration causes the combustion gases and excess air to expand thermally. The net result is that the volume of the vessel or structure must expand to accommodate the hot combustion gases, or the vessel must be strong enough to withstand the additional internal pressure, or it fails, allowing the gases to escape. The risks of deflagration inside waste storage drums is a growing concern in storage facilities.



See also







  • Conflagration

  • Deflagration to detonation transition

  • Pressure piling



References





  1. ^ UK Fire Service advice on chip pan fires


  2. ^ Williams, F. A. (2018). Combustion theory. CRC Press.


  3. ^ Landau, L. D. (1959). EM Lifshitz, Fluid Mechanics. Course of Theoretical Physics, 6.


  4. ^ Linan, A., & Williams, F. A. (1993). Fundamental aspects of combustion.


  5. ^ Zeldovich, I. A., Barenblatt, G. I., Librovich, V. B., & Makhviladze, G. M. (1985). Mathematical theory of combustion and explosions.










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