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Asymptotic solution for laminar flow of an incompressible fluid with variable viscosity and thermal conductivity between rotating surfaces of revolution

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Języki publikacji
EN
Abstrakty
EN
A steady laminar flow of an incompressible Newtonian fluid with variable viscosity and thermal conductivity is considered, in a narrow space between two surfaces of revolution, rotating with generally different angular velocities about a common axis of symmetry. The problem statement for two classes of throughflow, with full and rotational inertia, is fonnulated. A procedure for perturbing a creeping flow solution and an iteration scheme are developed to produce a solution for higher approximations. The solution depends on eight or seven parameters and is asymptotic in the sense of its good convergence in the second approximation for both classes of throughflow. Results for second class of throughflow are presented for the velocity components, the pressure and the temperature distributions for typical shapes of surfaces as disks and spherical surfaces.
Rocznik
Strony
831--848
Opis fizyczny
Bibliogr. 17 poz., wykr.
Twórcy
autor
Bibliografia
  • Chen Che-Pen (1966): Contribution a' l'étude expérimentale de l'écoulement radial d'un fluide visqueux incompressible entre deux disques parallèles. - J. Méc., vol.5, No.2, pp.245-259.
  • Dowson D. (1961): Inertia effects in hydrostatic thrust bearing. - J.Basic Eng., Trans ASME, ser. D, vol.83, No.2, pp.227-301.
  • Elkouh A.F. (1967): Inertia effect in laminar radial flow between parallel plates. - Int. J. Mech. Sci., vol.9, No.2, pp.253-255.
  • Matsch L. and Rice W. (1968): An asymptotic solution for laminar flow of an incompressible fluid between rotating disks. - J. Appl. Mech., Trans ASME, ser.E, vol.35, No.1, pp.155-159.
  • McAlister K.W. and Rice W. (1970): Throughflow between rotating surfaces of revolution, having similarity solutions. - J. Appl. Mech., Trans ASME, ser.E, vol.37, No.4, pp.924-930.
  • McAlister K.W. and Rice W. (1972): Flows between stationary surfaces of revolution, having similarity solutions. - J. Appl. Mech., Trans ASME, ser.E, vol.39, No.3, pp.345-350.
  • Peube J.-L. (1963): Sur l'écoulement radial permanent d'un fluide visqueux incompressible entre deux plans parallèles fixes. - J. Méc., vol.2, No.3, pp.377-395.
  • Prabhu T.J. and Ganesan N. (1981): Characteristics of conical hydrostatic thrust bearings under rotation. - Wear, vol.73, pp.95-122.
  • Walicka A. (1989): Accurate and Asymptotic Solutions of Simplified Sets of Equations Describing the Motion of Viscous Fluids in a Gap Bounded by Two Co-axial Surfaces of Revolution (in Polish). - Warszawa: WNT.
  • Walicka A. (1993): Asymptotic approach for viscous flow in a slot between fixed surfaces of revolution. - Mechanika, ZN WSI Zielona Góra, No.18, pp.137-151.
  • Walicka A. (1996): Asymptotic solution for laminar flow of an incompressible fluid between rotating surfaces of revolution showing inertia effects. - Applied Mechanics and Engineering, vol.1, No.2, pp.231-261.
  • Walicka A. (2002a): Rheodynamis of Non-Newtonian Fluids Flow in straight and Curved Channels (in Polish). - Zielona Góra: University Press.
  • Walicka A. (2002b): Rotational flows of rheologically complex media in narrow annular channels (in Russian). - Zielona Góra: University Press.
  • Walicki E. (1974): Throughflow of viscous liquid in a gap between rotating surfaces of revolution (in Polish). - Mech. Teor. Stos., vol.12, No.1, pp.7-16.
  • Walicki E. (1977): Motion of Viscous Fluids in Gaps of the Thrust Bearings (in Polish). - Bydgoszcz: AT-R.
  • Walicki E. (2005): Rheodynamis of Bearing Lubrication (in Polish). - Zielona Góra: University Press.
  • Walicki E. and Walicka A. (1994): Pressure distribution in a Newtonian flow between rotating surfaces of revolution. - Mechanika, ZN WSI Zielona Góra, No.20, pp.19-32.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0034-0019
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