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Some more inverse solutions for steady flows of a second-grade fluid

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Inverse solutions of the equations of motion of an incompressible second-grade fluid are obtained by assuming certain forms of the stream function. Expressions for streamlines, velocity components and pressure distributions are given in each case and compared with the known results.
Rocznik
Strony
373--387
Opis fizyczny
Bibliogr. 15 poz., wykr.
Twórcy
  • Pennsylvania State University, York Campus, York, PA 17403, USA
  • Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
autor
  • Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
autor
  • COMSATS, Institute of Information Technology, Abbottabad, Pakistan
Bibliografia
  • 1. K. R. RAJAGOPAL, On the boundary conditions for fluids of the differential type, [in:] A. SEQUEIRA [Ed.)' Navier-Stokes equations and related nonlinear problems, Plenum Press, New York, 273, 1995.
  • 2. P. N. N EMENYI, Recent developments in inverse and semi-inverse methods in the mechanics of continua, Advances in Applied Mechanics, 2, New York 1951.
  • 3. P. N. KALONI and K. HUSCHILT, Semi inverse solutions of a non-Newtonian fluid, Int. J. Nonlinear Mech., 19, 373, 1984.
  • 4. A. M. SIDDIQUI and P. N. KALONI, Certain inverse solutions of a non-Newtonian fluid, Int. J. Nonlinear Mech., 21, 459, 1986.
  • 5. A. M. SIDDIQUI, Some more inverse solutions of a non-Newtonian fluid, Mech. Res. Commun., 11, 157, 1990.
  • 6. A. M. BENHARBIT and A. M. SIDDIQUI, Certain solutions of the equations of the plan ar motion of a second-grade fluid for steady and unsteady cases, Acta Mech., 94, 85, 1992.
  • 7. F. LABROPULU, Exact solutions of non-Newtonian fluid flows with prescribed vorticity, Acta Mech., 141, 11, 2000.
  • 8. R. S. RIVLIN and J. L. ERICKSEN, Stress deformation relations for isotropic materials, J. Rat. Mech. Anal., 4, 323, 1955.
  • 9. J. E. DUNN and R. L. FOSDICK, Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade, Arch. Rat. Mech. Anal., 56, 191, 1974.
  • 10. R. L. FOSDICK and K. R . RAJAGOPAL, Anomalous features in the model of second order fluids, Arch. Ration. Mech. Anal., 10, 145, 1979.
  • 11. A. CRAIK, The stability of unbounded two-and three dimensional flows subject to body forces, Some exact solutions, J. Fluid Mech., 198, 275, 1989.
  • 12. R. BERKER, Integration des equations du mouvemont d 'un fluide visqueux incompressible, Handbuk der Physik VII, Springer, Berlin 1963.
  • 13. A. CRAIK and W. CRIMINALE, Evolution of wavelike disturbances in shear flows: a class of exact solutions of the Navier-Stokes equations., Proc. R. Soc. Lond., A 406, 13-36, 1986.
  • 14. R. LAGNADO, N. PHAN-THIEN and L. LEAL, The stability of two-dimentional linear flows, Phys. Fluids, 21, 1094, 1984.
  • 15. S. N. ARISTOV and 1. M. GITMAN, Viscous flow between two moving parallel disks: exact solutions and stability analysis, J. Fluid Mech., 464, 209, 2002.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0002-0105
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