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Inertia Effects in Squeeze Flows of Viscoplastic Fluids

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Abstract

A squeeze flow of a viscoplastic fluid through a narrow clearance between two coaxial surfaces of revolution is considered. The problem is described by boundary-layer equations. With the use of the method of integral approaches, formulas for the pressure distribution are obtained. Generally, the flow of viscoplastic fluids given by the nonlinear Shulman model is considered. The flows of viscoplastic fluids given by the Herschel, Bulkley, Bingham, Ostwald-de Waele, and Newton models are discussed in detail. Numerical examples of pressure distributions in the clearance between parallel disks are presented.

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References

  1. J. G. Oldroyd, “Non-Newtonian effects in some idealized elastic viscous liquids,” Proc. Royal Soc., Ser. A, 4, 278-287 (1958).

    Google Scholar 

  2. W. Prager, Introduction to Mechanics of Continua, Ginn, Boston (1961).

    Google Scholar 

  3. Z. P. Shulman, Convective Heat Transfer of Rheologically Complex Fluids [in Russian], Energy, Moscow (1975).

    Google Scholar 

  4. G. Dai and R. B. Bird, “Radial flow of a Bingham fluid between two circular disks,” J. Non-Newton. Fluid Mech., 8, No. 3, 349-355 (1981).

    Google Scholar 

  5. G. H. Covey and B. R. Stanmore, “Use of the parallel-plate plastometer for the characterization of viscous fluids with a yield stress,” J. Non-Newton. Fluid Mech., 8, No. 2, 249-260 (1981).

    Google Scholar 

  6. W. W. Johnson Jr. and S. Mangkoesoebroto, “Analysis of lubrication theory for the power-law fluid,” ASME J. Tribol., 115, No. 1, 71-77 (1993).

    Google Scholar 

  7. G. G. Lipscomb and M. M. Denn, “Flow of Bingham fluid in complex geometries,” J. Non-Newton. Fluid Mech., 14, No. 2, 337-349 (1984).

    Google Scholar 

  8. A. Walicka and E. Walicki,” Integral approaches for the flow of a power-law fluid in a slot between fixed surfaces of revolution,” Acta Technica, Acad. Sci. Hung., 105, No. 4, 357-371 (1993).

    Google Scholar 

  9. B. Y. Bukhaman, V. I. Lipatov, A. I. Litwinov and Z. P. Shulman, “Rheodynamics of nonlinear viscoplastic media,” J. Non-Newton. Fluid Mech., 10, No. 2, 215-233 (1982).

    Google Scholar 

  10. A. Walicka, E. Walicki, and D. Rupinski, “Effect of viscoplastic lubricant inertia on squeeze film in curvilinear thrust bearing,” in: Atti di IV Conregno AIMETA di Tribologia, Italy, S. Margherita Ligure (1996), pp. 91-97.

    Google Scholar 

  11. M. J. Adams, B. Edmondson, D. G. Caughey, and R. Yahya, “An experimental and theoretical study of the squeeze-film deformation and flow of elastoplastic fluids,” J. Non-Newton. Fluid Mech., 51, No. 1, 61-78 (1994).

    Google Scholar 

  12. A. F. Elkouh, “Fluid inertia effect in non-Newtonian squeeze films,” ASME J. Lubricat. Technol., 98, No. 2, 409-411 (1976).

    Google Scholar 

  13. J. B. Shukla, K. R. Prasad, and P. Chandra, “Effects of consistency variation of power-law lubricant in squeeze films,” Wear, 76, 299-319 (1982).

    Google Scholar 

  14. A. Walicka, E. Walicki, and D. Rupinski, “Integral approaches for the pressure distribution of power-law fluid in a curvilinear bearing with squeeze film,” in: Proc. of 3rd Conf.: Problems of Nonconventional Bearing Systems, Lodz, Poland (1997), pp. 118-124.

  15. E. Walicki. and A. Walicka, “Squeeze flows of viscoplastic fluids,” in: XX Symposium on Rheology of RAS, Russia, Coll. Abstracts (2000), pp. 201-202.

    Google Scholar 

  16. A. Walicka, Accurate and Asymptotic Solutions of Simplified Sets of Equations Describing the Motion of Viscous Fluids in a Clearance Bounded by Two Co-Axial Surfaces of Revolution [in Polish], WNT, Warsaw (1989).

    Google Scholar 

  17. A. Walicka and E. Walicki, “Viscoplastic flow between fixed surfaces of revolution analysis based on the averaged inertia,” Sci. Rep. Tech. Univ. of Zielona Góra, Phys. Chem., No. 6, 219-242 (1994).

    Google Scholar 

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Walicki, E., Walicka, A. Inertia Effects in Squeeze Flows of Viscoplastic Fluids. Mechanics of Composite Materials 37, 347–356 (2001). https://doi.org/10.1023/A:1012396904427

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