Deflagration-to-Detonation Transition in Pipes: The Analytical Theory

Herein, we discuss the fundamental aspects of the deflagration-to-detonation transition (DDT) phenomenon in the framework of analytical theory. This semi-empirical approach facilitates prediction of the pressure rise and the shock wave speed for a given fuel type and concentration, which may be of significant interest for the design and assessment of petrochemical plants by field-safety engineers. The locally observed DDT phenomenon explored in the present experiments is also discussed, and the measured pressure rise is compared with the theoretical predictions.