Let's assume somebody show you a combustion and ask you that what kind of combustion is it? How do you show that it's Detonation or Transient or Deflagration?
I've read some stuff on the net, e.g.
https://www.quora.com/What-is-a-detonation-and-what-is-a-deflagration-in-terms-of-fire
https://www.quora.com/What-is-the-difference-between-deflagration-combustion-and-detonation-combustion-in-CI-engines
https://www.quora.com/How-do-I-explain-the-difference-between-deflagration-and-detonation
But it looks like knowing the type of combustion is a challenge. For example in the first link you can see this paragraph:
"Keep in mind, though, that a fast deflagration is STILL an explosion! Black powder deflagrates, but that is still an explosion. Detonation takes place in high explosives like TNT or dynamite."
Is there any formula or equation that show us a combustion is Detonation or Transient or Deflagration?
Please post your answer for two cases. Experimental and numerical simulation. I mean how do you know when they show you the real combustion and when they show you the numerical simulation of the combustion?