On the Structure of Plane Detonation Waves
dc.contributor.author | Adamson, Thomas Charles Jr. | en_US |
dc.date.accessioned | 2010-05-06T21:50:54Z | |
dc.date.available | 2010-05-06T21:50:54Z | |
dc.date.issued | 1960-09 | en_US |
dc.identifier.citation | Adamson, T. C. (1960). "On the Structure of Plane Detonation Waves." Physics of Fluids 3(5): 706-714. <http://hdl.handle.net/2027.42/70238> | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/70238 | |
dc.description.abstract | A steady planar detonation wave, considered to be a shock wave followed by a reaction zone, is studied with both irreversible and reversible first‐order reaction kinetics. A perturbation solution with first‐order transport effects, valid in the reaction zone for those cases where the ratio of the characteristic collision time to the characteristic chemical time is small compared to one, is presented with sample calculations of temperature and concentration distributions for typical irreversible and reversible reaction cases. Analysis of the solution shows that simple series solutions and hence the given perturbation solutions do not hold near the hot boundary for all possible final Mach numbers. In the irreversible reaction case, the perturbation solution is a valid approximation for final Mach numbers less than (1 − B)☒, where B is the ratio of characteristic times, the approximation becoming less accurate as the Mach numbers tend toward this limiting value. In the reversible reaction case, the perturbation solution is a valid approximation for final Mach numbers up to the Chapman‐Jouguet value of unity, if the Mach number is based on the equilibrium speed of sound. | en_US |
dc.format.extent | 3102 bytes | |
dc.format.extent | 695896 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.publisher | The American Institute of Physics | en_US |
dc.rights | © The American Institute of Physics | en_US |
dc.title | On the Structure of Plane Detonation Waves | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | The University of Michigan, Ann Arbor, Michigan | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/70238/2/PFLDAS-3-5-706-1.pdf | |
dc.identifier.doi | 10.1063/1.1706114 | en_US |
dc.identifier.source | Physics of Fluids | en_US |
dc.identifier.citedreference | J. von Neumann, “On the theory of stationary detonation waves,” Ballistic Research Laboratories, Aberdeen Proving Ground, File No. X122, September 20, 1948. | en_US |
dc.identifier.citedreference | D. L. Chapman, Phil. Mag. 47, 90 (1899); E. Jouguet, J. Mathematique 6, No. 1, 347 (1905) and 6, No. 2, 6 (1906). | en_US |
dc.identifier.citedreference | T. von Kármán, Aerotecnica, 33, 80 (1953). | en_US |
dc.identifier.citedreference | S. Brinkley and J. Richardson, “On the structure of plane detonation waves with finite reaction velocity,” Fourth Symposium on Combustion, Cambridge, Massachusetts 1952, pp. 450–457. | en_US |
dc.identifier.citedreference | J. G. Kirkwood and W. W. Wood, J. Chem. Phys. 22, 1915 (1954). | en_US |
dc.identifier.citedreference | W. W. Wood and J. G. Kirkwood, J. Chem. Phys. 25, 1276 (1956). | en_US |
dc.identifier.citedreference | W. W. Wood and J. G. Kirkwood, J. Chem. Phys. 29, 957A (1958). | en_US |
dc.identifier.citedreference | J. O. Hirschfelder and C. F. Curtiss, J. Chem. Phys. 28, 1130 (1958). | en_US |
dc.identifier.citedreference | B. Linder, C. F. Curtiss, and J. O. Hirschfelder, J. Chem. Phys. 28, 1147 (1958). | en_US |
dc.identifier.citedreference | C. F. Curtiss, J. O. Hirschfelder, and M. P. Barnett, J. Chem. Phys. 30, 470 (1959). | en_US |
dc.identifier.citedreference | J. A. Nicholls, E. K. Dabora, and R. L. Gealer, “Studies in connection with stabilized gaseous detonation waves,” Seventh Symposium on Combustion, Oxford, England, September 1958, pp. 766–772. | en_US |
dc.identifier.citedreference | R. A. Gross, ARS Journal, January 1959, pp. 63–64. | en_US |
dc.identifier.citedreference | Upon submission of this paper, it was learned that similar solutions had been found simultaneously by Dr. W. W. Wood at the Los Alamos Scientific Laboratory. See Rept. No. GMX‐10‐38‐A, “On perturbation solutions for Navier Stokes detonations based on the von Neumann solution as the zeroth‐order approximation.” | en_US |
dc.identifier.citedreference | J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids (John Wiley & Sons, Inc., New York, 1954). | en_US |
dc.owningcollname | Physics, Department of |
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