Fluids with spin and twist
dc.contributor.author | Smalley, Larry L. | en_US |
dc.contributor.author | Krisch, Jean P. | en_US |
dc.date.accessioned | 2010-05-06T20:32:50Z | |
dc.date.available | 2010-05-06T20:32:50Z | |
dc.date.issued | 1995-02 | en_US |
dc.identifier.citation | Smalley, Larry L.; Krisch, Jean P. (1995). "Fluids with spin and twist." Journal of Mathematical Physics 36(2): 778-795. <http://hdl.handle.net/2027.42/69401> | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/69401 | |
dc.description.abstract | Fluids with persistent vortices that exhibit shear plus expansion (or contraction) in noninertial frames are common physical phenomena. The concept of intrinsic rotation is commonly referred to as spin; the equivalent concept for shear would be shear momenta, referred to as twist in this work. The motion of the Earth’s atmosphere is a prime example of such motion in which the driving engine is the rotation of the Earth plus solar radiation. The general analytical features of persistent vortices that exhibit shear plus expansion and contraction are introduced using the methods of affine geometry. The same theoretical considerations can also be applied to astrophysical examples. © 1995 American Institute of Physics. | en_US |
dc.format.extent | 3102 bytes | |
dc.format.extent | 1242475 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 | Fluids with spin and twist | 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 | Department of Physics, University of Michigan, Ann Arbor, Michigan 48109 | en_US |
dc.contributor.affiliationother | Department of Physics, University of Alabama, Huntsville, Alabama 35899 | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/69401/2/JMAPAQ-36-2-778-1.pdf | |
dc.identifier.doi | 10.1063/1.531341 | en_US |
dc.identifier.source | Journal of Mathematical Physics | en_US |
dc.identifier.citedreference | W. Israel, Nuovo Cimento 7, 860 (1973). | en_US |
dc.identifier.citedreference | W. Kopczyński, Phys. Lett. A 39, 219 (1972); 43, 63 (1973). | en_US |
dc.identifier.citedreference | I. Bailey and W. Israel, Commun. Math. Phys. 42, 65 (1975). | en_US |
dc.identifier.citedreference | I. Bailey, Ann. Phys. (NY) 119, 76 (1979). | en_US |
dc.identifier.citedreference | K. R. Symon, Mechanics (Addison-Wesley, Reading, MA, 1960), 2nd ed, Chap. 10. | en_US |
dc.identifier.citedreference | W. Jaunzemis, Continuum Mechanics (Macmillan, New York, 1967). Note that in this text, the concept of rotation (or spin) in a continuum solid is referred to as twist, whereas what we call twist is referred to as extensions for deformable media. | en_US |
dc.identifier.citedreference | E. Kröner, Arch. Rat. Mech. Anal. 4, 273 (1960). | en_US |
dc.identifier.citedreference | E. Kröner, in Volesungen über theoretische Physik, edited by A. Sommerfeld (Verlagsges., Leipzig, 1964), 5th ed., Chap. 9. | en_US |
dc.identifier.citedreference | See also additional references in F. W. Hehl, G. D. Kerlick, and P. von der Heyde, Z. Naturforsch 31a, 111 (1976). | en_US |
dc.identifier.citedreference | G. A. Maugin and A. C. Eringer, J. Math. Phys. 13, 143, 1777, 1788 (1972). | en_US |
dc.identifier.citedreference | F. W. Hehl, G. D. Kerlick, and P. von der Heyde, Z. Naturforsch. 31a, 111, 524, 823 (1976). | en_US |
dc.identifier.citedreference | L. L. Smalley, Phys. Lett. A 61, 436 (1977). | en_US |
dc.identifier.citedreference | F. W. Hehl, E. A. Lord, and G. D. Kerlick, Gen. Rel. Grav. 9, 691 (1978). | en_US |
dc.identifier.citedreference | F. W. Hehl, E. A. Lord, and Y. Ne’eman, Phys. Lett. B 71, 432 (1977); Phys. Rev. D. 17, 428 (1978). | en_US |
dc.identifier.citedreference | V. N. Ponomariev and Y. N. Obukhov, Gen. Rel. Grav. 14, 309 (1982). | en_US |
dc.identifier.citedreference | E. A. Lord, Phys. Lett. A 65, 1 (1978). | en_US |
dc.identifier.citedreference | Y. N. Obukhov and R. Tresguerres, Phys. Lett. A 184, 17 (1993). | en_US |
dc.identifier.citedreference | J. R. Ray, J. Math. Phys. 13, 1451 (1972). | en_US |
dc.identifier.citedreference | J. R. Ray and L. L. Smalley, Phys. Rev. Lett. 49, 1059 (1982); 50, 626E (1983). | en_US |
dc.identifier.citedreference | J. R. Ray, L. L. Smalley, and J. P. Krisch, Phys. Rev. D 35, 3261 (1987). | en_US |
dc.identifier.citedreference | T. Halbwachs, Thèorie relativiste des fluid à spin (Gautièr-Villars, Paris, 1960). | en_US |
dc.identifier.citedreference | J. A. Schouten, Ricci Calculus (Springer-Verlag, Berlin, 1954), 2nd ed. | en_US |
dc.identifier.citedreference | F. W. Hehl, Gen. Rel. Grav. 4, 333 (1973); 5, 491 (1974). | en_US |
dc.identifier.citedreference | L. L. Smalley and J. R. Ray, Phys. Lett. A 134, 87 (1988). | en_US |
dc.identifier.citedreference | J. Frenkel, Z. Phys. 37, 243 (1926). | en_US |
dc.identifier.citedreference | F. W. Hehl, G. D. Kerlick, E. A. Lord, and L. L. Smalley, Phys. Lett. B 70, 70 (1977). | en_US |
dc.identifier.citedreference | F. W. Hehl and G. D. Kerlick, Gen. Rel. Grav. 9, 691 (1978). | en_US |
dc.identifier.citedreference | F. W. Hehl, E. A. Lord, and L. L. Smalley, Gen. Rel. Grav. 13, 1037 (1981). | en_US |
dc.identifier.citedreference | L. L. Smalley, Gen. Rel. Grav. 10, 1179 (1993). | en_US |
dc.identifier.citedreference | R. R. Wahba, “Parametrization of cosmological scale factor during inflationary times,” Dissertation, University of Alabama in Huntsville (1989). | en_US |
dc.identifier.citedreference | L. L. Smalley, Class. Quantum Grav. 10, 1179 (1993). | en_US |
dc.identifier.citedreference | See, for example, the work on elasticity by R. L. Seliger and G. B. Whitham, Proc. R. Soc. London, Ser. A 305, 1 (1968). | en_US |
dc.identifier.citedreference | L. L. Smalley, Phys. Lett. A 61, 436 (1977). | en_US |
dc.identifier.citedreference | F. W. Hehl, P. von der Heyde, G. D. Kerlick, and J. M. Nester, Rev. Mod. Phys. 48, 393 (1976). | en_US |
dc.identifier.citedreference | See, for example, J. D. McCrea, Class. Quantum Grav. 9, 553 (1992). | en_US |
dc.identifier.citedreference | For an explanation of this effect, see F. W. Hehl and G. D. Kerlick, Gen. Rel. Grav. 9, 691 (1978). | en_US |
dc.identifier.citedreference | J. P. Brown, “The post-Newtonian approximation for self-consistent perfect fluids with spin density,” thesis, University of Alabama in Huntsville, (1989). | en_US |
dc.identifier.citedreference | L. L. Smalley and J. P. Krisch, Class. Quantum Grav. 11, 2517 (1994). | en_US |
dc.identifier.citedreference | M. A. P. Martin, E. P. Vasioncellos-Vaidya, and M. M. Som, Class. Quantum Grav. 8, 2225 (1991). | en_US |
dc.identifier.citedreference | L. L. Smalley and J. P. Krisch, “Spinning Fluid Cosmology in Einstein-Cartan Theory,” Class. Quantum Grav., in press, 1994. | en_US |
dc.owningcollname | Physics, Department of |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.