“…Such losses arise when gaseous detonation propagates in small tubes (e.g., Zel'dovich et al (1987); Manzhalei (1992); Chan & Greig (1989); Camargo et al (2010)), narrow channels (e.g., Manzhalei (1998); Ishii & Monwar (2011); Gao et al (2016)), channels with obstructions (e.g. Lee et al (1984Lee et al ( , 1985; Teodorczyk et al (1989); Chan & Greig (1989); Teodorczyk et al (1991); Gao et al (2016)), packed beds of inert particles (e.g., Lyamin & Pinaev (1985); Lyamin et al (1991); Babkin et al (1991); Makris et al (1995); Babkin (2012)) or tubes with porous walls (Radulescu & Lee 2002). Friction with and heat transfer to the walls or obstacles (or the mass loss through the porous walls) decreases the velocity of detonation from its ideal value (i.e., there exists a velocity deficit).…”