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Original Articles

A Cosserat Continuum Mechanical Approach to Turbulent Channel Pressure Driven Flow of Isotropic Fluid

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Pages 1035-1042 | Received 30 Apr 2007, Accepted 11 May 2007, Published online: 22 Jul 2008

REFERENCES

  • Truesdell , C. ( 1955 ) J. Archive of Rational Mechanics and Analysis , 4 : 83 – 133 .
  • Truesdell , C. and Toupin , R. ( 1960 ) The classical field theories . In Handbuch der Physik Vol. III/3 , edited by W. Flügge ; Berlin : Springer-Verlag .
  • Truesdell , C. and Noll , W. ( 1965 ) The non-linear field theories of mechanics . In Handbuch der Physik Vol. III/3 , edited by W. Flügge ; Berlin : Springer-Verlag .
  • Truesdell , C. ( 1984 ) Rational Thermodynamics; , Second edition , New York : Springer-Verlag .
  • Mindlin , R.D. and Eshel , N.N. ( 1968 ) International Journal of Solids and Structures , 4 : 109 – 124 .
  • Eringen , A.C. ( 1972 ) International Journal of Engineering Science , 10 : 1 – 16 .
  • Mindlin , R.D. ( 1964 ) J. Archive of Rational Mechanics and Analysis , 16 : 51 – 78 .
  • Toupin , R.A. ( 1962 ) J. Archive of Rational Mechanics and Analysis , 11 : 385 – 414 .
  • Trostel , R. ( 1985 ) Gedanken zur konstruktion mechanischer Theorien I . Beiträge zu den Ingenieurwissenschaften, Universitäts-Bibliothek der T.U. Berlin .
  • Trostel , R. ( 1988 ) Gedanken zur konstruktion mechanischer Theorien II . TU Berlin-Forschungsberichte Nr.7 , Berlin .
  • Truesdell , C. and Rajagopal , K.R. ( 2000 ) An Introduction to the Mechanics of Fluids ; Boston : Birkhäuser .
  • Eringen , C.A. ( 2001 ) Microcontinuum Field Theories II: Fluent Media ; New York : Springer-Verlag .
  • Silber , G. ( 1986 ) Eine Systematik nichtlokaler kelvinhafter Fluide vom Grade drei auf der Basis eines klassischen Kontinumsmodelles . Fortschrittberichte VDI, Reihe 18/ Nr.26, VDI verlag, Dusseldorf, T.U. Berlin .
  • Silber , G. , Trostel , R. , Alizadeh , M. , and Benderoth , G.A. ( 1998 ) Journal de Physique IV. , 8 : 365 – 376 .
  • Moosaie , A. and Atefi , Gh. ( 2007 ) J. Disp. Sci. Technol. , 28 .
  • Forest , S. ( 2001 ) In Encyclopedia of Materials, Science and Technology ; New York : Elsevier Sciences .
  • Eringen , A.C. ( 2005 ) International Journal of Engineering Science , 43 : 209 – 221 .
  • Kucher , V.A. and Markenscoff , X. ( 2004 ) The Cosserat eigenfunctions for the elliptic exterior problem with applications to thermoelasticity and Stokes flow . ZAMP , 55 : 1065 – 1073 .
  • Cosserat , E. and Cosserat , F. ( 1909 ) Théorie des Corps Déformables . Paris : A. Hermann et Fils , 137 – 145 .
  • Altenbach , C. ( 1994 ) Einführung in Kontinuumsmechanik TEUBNER Studienbücher B.G. TEUBNER: Stuttgart .
  • Alizadeh , M. ( 2001 ) Eine Randwertsystematik für Gradientenfluide vom Grade drei auf der Basis von Porositätstensoren . Ph.D. Diss., T.U. Berlin .
  • Alexandru , C. ( 1989 ) Eine Systematik nichtlokaler Fluide vom Grade 2 auf der Basis eines COSSERAT Kontinuummodells . Fortschrittberichte VDI, Reihe 18/Nr. 61, VDI verlag, T.U. Berlin .
  • Atefi , Gh. and Moosaie , A.A. ( 2007 ) J. Dispersion Sci. Technol. , 28 ( 5 ): 765 – 768 .
  • Reichardt , H. ( 1956 ) ZAMM , 36 : 26 – 29 .
  • Watanabe , K. and Yanuar Mizunuma , H. ( 1998 ) JSME Inter. Journal Series B , 41 : 525 – 529 .
  • Pit , R. , Hervert , H. , and L'eger , L. ( 2000 ) Phys. Rev. Letter , 85 : 980 – 983 .
  • Atefi , Gh. , Niazmand , H. , and Meigounpoory , M. ( 2007 ) J. Dispersion Sci. Technol. , 28 ( 7 ): 591 – 602 .
  • Rao , I.J. and Rajagopai , K.R. ( 1999 ) J. Acta Mech. , 135 : 113 – 126 .
  • White , F.M. Viscous Fluid Flow ; New York: McGraw-Hill .
  • Shames , I.H. Mechanics of Fluids ; New York: McGraw-Hill .

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