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A note on the flows of inhomogeneous fluids with shear-dependent viscosities

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Języki publikacji
EN
Abstrakty
EN
Inhomogenous fluids have not been studied with the intensity that they deserve. In fact, many studies that are supposedly concerned with the response of inhomogeneous fluids are not directed at inhomogeneous fluids, and this stems from not recognizing the fact that the properties of a fluid varying in its current configuration does not mean that the fluid is inhomogeneous. Here, we show that mild variations in the properties of the fluid which might warrant it being approximated as a homogeneous fluid with average properties could lead to significant errors in the computation of both global and local quantities, associated with the flow.
Rocznik
Strony
417--428
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
  • Department of Mechanical Engineering Texas A & M University College Station, Texas – 77843
  • Department of Mechanical Engineering Texas A & M University College Station, Texas – 77843
Bibliografia
  • ---
  • 1. S. Chandrasekhar, The character of the equilibrium of an incompressible fluid sphere of variable density and viscosity subject to radial acceleration, Quarterly Journal of Mechanics and Applied Mathematics, 8, 1–21, 1955.
  • 2. S. Chandrasekhar, The character of the equilibrium of an incompressible heavy viscous fluid of variable density, Proceedings of the Cambridge Philosophical Society, 51, 162–178, 1955.
  • 3. W. J. Harrison, The influence of viscosity on the oscillations of superposed liquids, Proceedings of the London Mathematical Society, 6, 396–405, 1908.
  • 4. R. Hide, The character of the equilibrium of an incompressible heavy viscous fluid of variable density: An approximate theory, Proceedings of the Cambridge Philosophical Society, 51, 179–201, 1955.
  • 5. D. J. Lewis, The instability of liquid surfaces when accelarated in a direction perpendicular to their planes II, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 202, 1068, 81–96, 1950.
  • 6. Lord Rayleigh, Investigation of the character of the equilibrium of an incompressible heavy fluid of variable density, Proceedings of the London Mathematical Society, 14, 170–177, 1883.
  • 7. U. Saravanan, and K.R. Rajagopal, A comparison of the response of isotropic inhomogeneous elastic cylindrical and spherical shells and their homogenized counterparts, Journal of Elasticity, 71, 1–3, 205–233, 2003.
  • 8. U. Saravanan, and K.R. Rajagopal, On the role of inhomogeneities in the deformation of elastic bodies, Mathematics and Mechanics of Solids, 8, 4, 349–376, 2003.
  • 9. G. I. Taylor, The instability of liquid surfaces when accelarated in a direction perpendicular to their planes I, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 201, 1065, 192–196, 1950.
  • 10. C. Truesdell and W. Noll, S. Flugge [Ed.]„ The nonlinear field theories of mechanics, Springer Verlag, Heidelberg 1965.
  • 11. C.S. Yih, Dynamics of non-homogeneous fluids, Macmillan, New York 1965.
  • 12. C.S. Yih, Stratified flows, Academic Press 2 edition, New York 1980.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0006-0089
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