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Asymptotic solution for laminar isothermic flow of compressible fluid between rotating surfaces of revolution

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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A steady laminar flow of a compressible newtonian fluid 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 formulated. 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 seven parameters and is asymptotic in the sense of its good convergence in the second approximation for both classes of throughflow. Results for the second class of throughflow are presented for the velocity components, the pressure and temperature distributions for typical shapes of surfaces such as disks and spherical surfaces.
Rocznik
Strony
1101--1118
Opis fizyczny
Bibliogr. 21 poz., rys., tab.
Twórcy
autor
  • University of Zielona Góra, Faculty of Mechanical Engineering Department of Mechanics ul. Szafrana 2, P.O.Box 47 65-516 Zielona Góra, POLAND, A.Walicka@ijame.uz.zgora.pl
Bibliografia
  • 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.
  • Belforte G., Raparelli T. and Viktorov V. (1999): Theoretical investigation of fluid inertia effects and stability of self-acting gas journal bearings. - Journal of Tribology, Trans ASME, ser. F, vol.121, No.4, pp. 836-843.
  • 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.
  • Kim D., Lee S., Bryant M.D. and Ling F.F. (2004): Hydrodynamic performance of gas microbearings. - Journal of Tribology, Trans ASME, ser. F, vol.126, No.4, pp. 711-718.
  • Liu L.G. and Chen C.Z. (1999): Mathematical model for gas bearing with holes of tangential supply.- Journal of Tribology, Trans ASME, ser. F, vol.121, No.2, pp. 301-305.
  • 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.
  • 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 with variable viscosity and thermal conductivity between rotating surfaces of revolution. - Int. J. Appl. Mech. Enging., vol.12, No.3, pp.831-848.
  • 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.
  • Walicka A. (2007): Asymptotic solution for laminar flow of an incompressible fluid between rotating surfaces of revolution showing inertia effects. - Int. J. of Appl. Mech. and Enging, vol.1, No.2, pp.231-261.
  • 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 Bearings 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-BPZ2-0040-0015
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