“…To estimate a chemical time, on the other hand, we can roughly approximate the overall soot production rate with an overall reaction rate dcs dt ¼ kc 1þb p , where k is a temperaturedependent rate constant, c s is the soot concentration, c p is the concentration of some critical soot precursor. b can be assumed to satisfy the inequality 1 > b > 0 in the first approximation, as suggested by the pressure dependence of (mature) soot volume fraction in laminar flames [20,52]. As a result, number for soot formation increases with pressure.…”