@article{oai:nagoya.repo.nii.ac.jp:00030748,
 author = {Reddy, K.V. and Fujiwara, Toshi and Lee, J.H.},
 issue = {1},
 journal = {Memoirs of the Faculty of Engineering, Nagoya University},
 month = {Oct},
 note = {A mathematical model is constructed to study the role of transverse waves in a detonation wave. The lower solid wall in a two-dimensional channel is replaced with a porous wall that absorbs momentum and energy but does not allow mass to leave the system. A plane Chapman-Jouguet (C-J) ZND detonation wave is disturbed by putting a few exothermic spots in the neighborhood of the leading shock-front to generate a stable multidimensional detonation wave. All the elementary reactions occurring behind a leading shock are represented by a two-step reaction model. The mathematical model is developed by treating the entire flow as a two-stream fluid flow: Main flow in the channel is solved using the MacCormack second-order explicit finite-difference scheme while the capillary flow in the porous wall using an upwind finite-difference scheme. Both solutions are then coupled through the boundary conditions. By changing the porosity of the porous wall, propagation of the detonation wave is controlled. Numerical calculations are made for different channel widths and different porosities. Various interesting phenomena such as detonation quenching, development of galloping detonations and penetration of a shock wave into an expansion zone are demonstrated.},
 pages = {149--162},
 title = {Role of transverse waves in a detonation wave : a study based on propagation in a porous wall chamber},
 volume = {40},
 year = {1988}
}