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Tytuł artykułu

Hydrodynamic squeeze-film characteristic in porous annular disks using the Brinkman model

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Języki publikacji
EN
Abstrakty
EN
Based on the Brinkman model (BM) with the assumption that the pressure gradient across the porous region is an unknown function, the effects of viscous shear stresses upon the squeezing-film motion in porous annular disks are considered. Using the Brinkman equations and applying the continuity conditions at the interface for the velocities, shear stresses and pressures, two coupled modified Reynolds equations governing the squeeze-film pressure are obtained. The film pressure equation is solved and applied to evaluate the load-carrying capacity and the height-time relationship. According to the results obtained, the BM predicts quite a different squeezing action to those derived by the slip-flow model (SFM) and the Darcy model (DM). Comparing with the SFM, the viscous shear effects of the BM increase the load-carrying capacity and the response time. But, these trends are reversed as compared to the DM. On the whole, the effects of viscous shear stresses are more pronounced for moderate-value permeability parameters and a higher-value radius ratio. A design example for porous annular disks is also illustrated for engineering applications.
Rocznik
Strony
413--424
Opis fizyczny
Bibliogr. 18 poz., rys., tab., wykr.
Twórcy
autor
  • Department of Mechanical Engineering, Nanya Institute of Technology P.O. Box 324-22-59, Chung-Li 320, Taiwan, R.O.C.
autor
  • Department of Mechanical Engineering, Nanya Institute of Technology P.O. Box 324-22-59, Chung-Li 320, Taiwan, R.O.C.
Bibliografia
  • [1] Ahmad M.M.H.M., Gethin D.T., Claypole T.C. and Roylance B.J. (1998): Numerical and experimental investigation into porous squeeze films. - Tribology International, vol.31, No.4, pp. 189-199.
  • [2] Brinkman H.C. (1947): A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles. - Appl. Sci. Res., vol.Al, pp.27-34.
  • [3] Decuzzi P., Ciavarella M. and Monno G. (2001): Frictionally excited thermoelastic multi-disk clutches and brakes. - ASME J. of Tribology, vol.l23, pp.865-871.
  • [4] Elsharkawy A.A. and Nassar M.M. (1996): Hydrodynamic lubrication of squeeze-film porous bearing. - Acta Mechanica, vol.ll8, pp. 121-134.
  • [5] Lee K. and Barber J.R. (1993): Frictionally-excited thermoelastic instability in automotive disk brakes. - ASME J. of Tribology, vol. 115, pp.607-614.
  • [6] Lin J.R. and Hwang C.C. (1995): On the lubrication of short porous journal bearirigs use of the Brinkman model. - ASME Journal of Tribology, vol.ll7, No.l, pp.196-199.
  • [7] Lin J.R. (1996a): Viscous shear effects on the squeeze-film behavior in porous circular disks. - International Journal of Mechanical Sciences, vol.38, No.4, pp.373-384.
  • [8] Lin J.R. (1996b): Pure squeeze film behavior in a hemispherical porous bearing using the Brinkman model. - STLE Tribology Transactions, vol.39, No.4, pp.769-778.
  • [9] Lin J.R. (2001): Derivation of porous squeeze-film Reynolds equations using the Brinkman model and its application. - J. Phys. D: Appl. Phys., vol.34, pp.3217-3223.
  • [10] Murti P.R.K. (1973): Squeeze films in porous circular disks. - Wear, vol.23, pp.283-289.
  • [11] Murti P.R.K. (1974): Squeeze-film behavior in porous circular disks. - ASME J. of Lubr. Techn., vol.96, pp.206-209.
  • [12] Neale G. and Nader W. (1974): Practical significance of Brinkman’s extension of Darcy’s law: coupled parallel flows within a channel and a bounding porous medium. - Canadian J. of Chemical Engineering, vol.52, pp.475-478.
  • [13] Prakash J. and Vij S.K. (1973): Load capacity and time-height relations for squeeze films between porous plates. - Wear, vol.24, pp.309-322.
  • [14] Prakash J. and Vij S.K. (1974): Effect of velocity slip on porous-walled squeeze films. - Wear, vol.29, pp.363-372.
  • [15] Sparrow E.M., Beavers G.S. and Hwang I.T. (1972): Effect of velocity slip on porous-walled squeeze films. - ASME J. of Lubr. Techn., vol.94, pp.260-265.
  • [16] Wu H. (1970): Squeeze-film behavior for porous annular disks. - ASME J. of Lubr. Techn., vol.92, pp.593-596.
  • [17] Wu H. (1978): A review of porous squeeze films. - Wear, vol.47, pp.371-385.
  • [18] Zill D.G. and Cullen M.R. (1992): Advanced Engineering Mathematics. - Boston: PWS Publishing Company.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0003-0018
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