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Numerical calculation of the laminar flow in the inlet of the axial sealing gap of radial-flow compressors

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Summary

The effects of compression and friction in the flow through the axial gap of radial-flow compressors cause considerable changes of density, viscosity and heat conductivity which result in a decrease of the leakage losses between the shaft of the impeller and the casing and which influence the volumetrical efficiency of the machine. The numerical calculation scheme which bases on implicit difference equations enables the solution of the coupled nonlinear differential equations for the flow and temperature field as well as the determination of the material properties and of the pressure distribution in the inlet region of the ring gap. The results illustrate that the leakage losses decrease considerably if more frictional heat is produced by the motion of the walls and show the importance of the conditions of the heat transfer at the walls for the aerodynamic resistance.

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References

  1. Yamada, Y.: Resistance of a flow through an annulus with an inner rotating cylinder. Bull. Jap. Soc. Mech. Engrs. (JSME)5, 302–310 (1962).

    Google Scholar 

  2. Stampa, B.: Experimentelle Untersuchungen an axial durchströmten Ringspalten. Diss., Techn. Universität Braunschweig, 1971.

  3. Taylor, G. I.: Stability of a viscous liquid contained between two rotating cylinders. Philos. Trans.A223, 289–343 (1923).

    Google Scholar 

  4. Wilson, W. E., Mitchell, W. I.: Self-induced temperature effects in laminar flow of liquids. Proc. 1st U.S. Nation. Congr. Appl. Mech., pp. 789–795, New York: Amer. Soc. Mech. Engrs. 1951.

    Google Scholar 

  5. Newberry, L. A.: Effects of temperature rise on the flow of a viscous liquid through a concentric annulus with an inner cylinder rotating. J. Mech. Engng. Sci.6, 258–263 (1964).

    Google Scholar 

  6. McKeown, J., Millner, D. A., Shute, N. A., Turnbull, D. E.: Hydrodynamic factors affecting the design of valve plates and thrust bearings. Proc. Instn. Mech. Engrs.181/1, 653–665 (1966/67).

    Google Scholar 

  7. Noskiević, J., Stava, P.: Viscous liquid flows through intercircular leaks with regard to viscous dissipation. Proc. 4th Conf. Fluid Mech., pp. 859–871. Budapest: Akadémiai Kiadó 1972.

    Google Scholar 

  8. Noskiević, J.: Flows of viscous fluid in narrow gaps with energy dissipation and heat recirculation through the walls. Proc. 5th Conf. Fluid Mech., pp. 705–714. Budapest: Akadémiai Kiadó 1975.

    Google Scholar 

  9. Stoffel, B.: Die Strömung hochviskoser Flüssigkeiten in Dichtspalten. Strömungsmechanik und Strömungsmaschinen20 (1976).

  10. Schlichting, H.: Grenzschichttheorie, 5. ed. Karlsruhe: G. Braun 1964.

    Google Scholar 

  11. Rost, U.: Spalt- und Kapillarströmungen bei Berücksichtigung der Temperatur-und Druckabhängigkeit der Viskosität. Mitt. Max-Planck-Inst. f. Strömungsforschung Göttingen54, (1971).

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Piesche, M. Numerical calculation of the laminar flow in the inlet of the axial sealing gap of radial-flow compressors. Acta Mechanica 46, 37–47 (1983). https://doi.org/10.1007/BF01176763

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