“…There are numerous studies on the effects of strain and curvature on premixed flames (e.g. Matalon & Matkowsky [1982], Clavin & Joulin [1983], Searby & Quinard [1990], ), , Najm & Wyckoff [1997], Chen & Im [1998], Peters et al [1998], , Chen et al [1999], Chen & Im [2000, Bechtold & Matalon [2001], Durox et al [2001], Haq et al [2002], Sinibaldi et al [2003], Chakraborty & Cant [2004, Hawkes & Chen [2004], Chakraborty & Cant [2005, Hawkes & Chen [2005], Hawkes & Chen [2006], Kerl et al [2013], Fogla et al [2015], Sankaran et al [2015, Ma et al [2016]). This subject is of fundamental interest since the flame response to instabilities are modified by these effects.…”