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Extension of the universal erosive burning law to partly symmetric propellant grain geometries
Institution:1. Indian Institute of Science, Bangalore, Karnataka, India;2. Defense Research and Development Laboratory, Hyderabad, Andhra Pradesh 500058, India;1. University of Basilicata, School of Engineering, 10, Ateneo Lucano Street, 85100 Potenza, Italy;2. National Research Council, Institute of Methodologies for Environmental Analysis (IMAA), c/da S.Loja, 85050 Tito Scalo (PZ), Italy;1. Institute of Space and Astronautical Science, Sagamihara, Kanagawa 252 5210, Japan;2. Planetary Exploration Research Center, Chiba Institute of Technology, Chiba, Japan;3. Hokkaido University, Hokkaido, Japan;4. Senshu University, Tokyo, Japan;5. University of Tokyo, Tokyo, Japan;7. Okayama University, Okayama, Japan;1. Solar System Missions Division, ESA/ESTEC, Noordwijk, Netherlands;2. Office for Support to New Member States, ESA/ESTEC, Netherlands;3. Science Payload Instrument Section, ESA/ESTEC, Netherlands;1. Division of Sleep Medicine, Department of Medicine, Brigham and Women''s Hospital, Boston, MA 02115, USA;2. Division of Sleep Medicine, Harvard Medical School, Boston, MA 02115, USA;3. Sleep and Chronobiology Laboratory, Department of Integrative Physiology, University of Colorado, Boulder, CO 80309, USA;1. Institute of Solar-Terrestrial Physics SB RAS, Irkutsk, Russia;2. Research Centre for Astrophysics and Geophysics MAS, Ulaanbaatar, Mongolia;3. Irkutsk State Technical University, Irkutsk, Russia
Abstract:This paper aims at extending the universal erosive burning law developed by two of the present authors from axi-symmetric internally burning grains to partly symmetric burning grains. This extension revolves around three dimensional flow calculations inside highly loaded grain geometry and benefiting from an observation that the flow gradients normal to the surface in such geometries have a smooth behavior along the perimeter of the grain. These are used to help identify the diameter that gives the same perimeter the characteristic dimension rather than a mean hydraulic diameter chosen earlier. The predictions of highly loaded grains from the newly chosen dimension in the erosive burning law show better comparison with measured pressure–time curves while those with mean hydraulic diameter definitely over-predict the pressures.
Keywords:Erosive burning  Finocyl grain  CFD
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