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Burgers' Turbulence Models

dc.contributor.authorCase, K. M.en_US
dc.contributor.authorChiu, S. C.en_US
dc.date.accessioned2010-05-06T21:01:33Z
dc.date.available2010-05-06T21:01:33Z
dc.date.issued1969-09en_US
dc.identifier.citationCase, K. M.; Chiu, S. C. (1969). "Burgers' Turbulence Models." Physics of Fluids 12(9): 1799-1808. <http://hdl.handle.net/2027.42/69713>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/69713
dc.description.abstractA detailed investigation of the stability of the solutions and the growth of secondary solutions beyond the critical points is carried out for the Burgers' model equations. It is found that the transitions at some critical points are very much like the intuitive description given by Landau; however, the possibility of finite jumps is also encountered.en_US
dc.format.extent3102 bytes
dc.format.extent787488 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleBurgers' Turbulence Modelsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Physics, The University of Michigan, Ann Arbor, Michiganen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/69713/2/PFLDAS-12-9-1799-1.pdf
dc.identifier.doi10.1063/1.1692744en_US
dc.identifier.sourcePhysics of Fluidsen_US
dc.identifier.citedreferenceSee, for example, S. Pai, Viscous Flow Theory—Turbulent Flow (D. Van Nostrand Company, Inc., Princeton, New Jersey, 1956), pp. 6 and 7.en_US
dc.identifier.citedreferenceL. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon Press Ltd., London, 1959), pp. 103–107.en_US
dc.identifier.citedreferenceW. Velte, Arch. Ratl. Mech. Anal. 22, 1 (1966).en_US
dc.identifier.citedreferenceR. J. Donnelly, K. W. Schwarz, and P. H. Roberts, Proc. Roy. Soc. (London) A283, 531 (1965).en_US
dc.identifier.citedreferenceJ. M. Burgers, Verh. Nederl. Akad. Wetensch. Afd. Natuurk. (Amsterdam) 17, 1 (1939); or Advances in Applied Mechanics, R. V. Mises and Th. V. Kármán, Eds. (Academic Press Inc., New York, 1948), Vol. 1, p. 171.en_US
dc.identifier.citedreferenceK. M. Case, Progr. Theoret. Phys. Suppl. No. 37, 1 (1966).en_US
dc.identifier.citedreferenceA factor of π is inserted to facilitate calculations.en_US
dc.identifier.citedreferenceBurgers has shown in Ref. 5 that for a given finite P, only a finite number of solutions are allowable.en_US
dc.identifier.citedreferenceIn Ref. 5, Eq. (7.3), Burgers has obtained the general untruncated energy equation.en_US
dc.owningcollnamePhysics, Department of


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