Theory of the transition from conductive to convective burning |
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| Authors: | Leonid Kagan Gregory Sivashinsky |
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| Institution: | 1. Pro-Science GmbH, 76199 Karlsruhe, Germany;2. Karlsruhe Institute of Technology, Germany;1. Energy Department, Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas, Madrid 28040, Spain;2. Department of Mechanical Engineering, University of Melbourne, VIC 3010, Australia;3. School of Mechanical and Manufacturing Engineering, University of New South Wales, Sydney 2052, Australia;4. School of Photovoltaic and Renewable Energy Engineering, University of New South Wales, Sydney 2052, Australia;1. Department of Mechanical Engineering, the University of Sheffield, Sheffield S1 3JD, UK;2. School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China |
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| Abstract: | The experimentally known phenomenon of an abrupt transition from slow conductive to fast convective (penetrative) burning in a confined gas-permeable explosive is discussed. A simple model, involving only the most essential physical ingredients, is formulated and analyzed. A good qualitative agreement between theoretical and experimental dependencies is obtained. The transition is triggered by a localized autoignition in the extended resistance-induced preheat zone formed ahead of the advancing deflagration, provided the pressure difference between hot gas products and gases deep inside the pores of the unburned solid exceeds a certain critical level. In line with observations the critical overpressure increases with diminishing permeability. |
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