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Unsteady flow of a Maxwell fluid induced by non-coaxial rotation of a disk and the fluid at infinity

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Języki publikacji
EN
Abstrakty
EN
In this note, the unsteady flow of a Maxwell fluid produced by non-coaxial rotation while a disk and the fluid at infinity are initially rotating with the same angular velocity about a common axis is considered. Even in the case of a non-Newtonian fluid, it is shown that there is an exact solution for this flow geometry. The velocity field is obtained with the help of the Laplace transform technique.
Rocznik
Strony
159--165
Opis fizyczny
Bibliogr. 16 poz., wykr.
Twórcy
autor
  • Department of Mechanics, Faculty of Mechanical Engineering, Istanbul Technical University 34437, Gümüşsuyu - Istanbul, TURKEY
Bibliografia
  • [1] Bandelli R., Rajagopal K.R. and Galdi G.P. (1995): On some unsteady motions of fluids of second grade. - Arch. Mech., vol.47, pp.661-676.
  • [2] Berker R. (1963): Integration des equations du mouvement d'un fluide visqueux, incompressible. In: Handbuch der Physik (S. Fltigge, Ed.). - Berlin: Springer-Verlag, vol.8, NO.2.
  • [3] Bohme G. (1987): Non-Newtonian Fluid Mechanies. - Elsevier Science Publishers B.V.
  • [4] Erdogan M.E. (1997): Unsteady flow of a viscous fluid due to non-coaxial rotations of a disk and a fluid at infinity. - Int. J. Non-Linear Mech., vol.32, pp.285-290.
  • [5] Erdogan M,E. (2000): Flow induced by non-coaxial rotation of a disk executing non-torsional oscillations and a fluid rotating at infinity. - Int. J. Eng. Sci., vo1.38, pp.175-196.
  • [6] Ersoy H.V. (2000): MHD flow of an Oldroyd-B fluid due to non-coaxial rotations of a porous disk and the fluid at infinity. - Int. J. Eng. Sci., vol.38, pp.1837-1850.
  • [7] Ersoy H.V. and Bans S. (2002): Flow of a second order/grade fluid due to non-coaxial rotation of a porous disk and the fluid at infinity, - Int. J. Appl. Mech. Eng., vol.7, pp.1189-1199.
  • [8] Fetecau C. and Fetecau C. (2003): A new exact solution for the flow of a Maxwell fluid past an infinite plate. - Int. J. Non-Linear Mech., vol.38, pp.423-427.
  • [9] Hayat T., Asghar S. and Siddiqui A.M. (1999): Unsteady flow of an oscillating porous disk and a fluid at in Meccanica, vol.34, pp.259-265.
  • [10] Hayat T., Asghar S., Siddiqui A.M. and Haroon T. (2001): Unsteady MHD flow due to non-coaxial rotations of a porous disk and a fluid at infinity. - Acta Mech., vo1.151, pp.127-134.
  • [11] Jordan P.M., Puri A. and Boros G. (2004): On a new exact solution to Stokes' first problem for Maxwell fluids. - Int. J. Non-Linear Mech., vo1.39, pp. 1371-1377.
  • [12] Kasiviswanathan S.R. and Rao A.R. (1987): An unsteady flow due to eccentrically rotating porous disk and a fluid at infinity. - Int. J. Eng. Sci., voI.25, pp.1419-1425.
  • [13] Pop I. (1979): Unsteady flow due to noncoaxially rotating disk and a fluid at infinity. - Bull. Tech. Univ. 1st., vo1.32, pp.14-18.
  • [14] Rajagopal K.R. (1992): Flow of viscoelastic fluids between rotating disks. - Theor. Comput. Fluid Dyn., voI.3, pp.185- 206.
  • [15] Siddiqui A.M., Haroon T., Hayat T. and Asghar S. (2001): Unsteady MHD flow of a non-Newtonian fluid due to eccentric rotations of a porous disk and a fluid at infinity. - Acta Mech., vo1.147, pp.99-109.
  • [16] Tanner R.I. (1962): Note on the Rayleigh problem for a visco-elastic fluid. - Z. Angew. Math. Phys., vo1.13, pp.573-580.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0013-0050
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