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Steady and modulated flow of an Ostwald fluid around a rotating disk

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Abstract

The solutions of the continuity equation and the equations of motion of the flow in the vicinity of a rotating disk have been established for an Ostwald fluid under steady-state conditions and in modulated flow around a mean value. Under steady-state conditions, the kinematics of the flow is scarcely dependent on the rheological parameters close to the disk, however, for n < 1 long-range effects have been put forward. For modulated flow, in the high-frequency range, a behaviour very different from that observed for a Newtonian fluid was found. In the low-frequency range an asymptotic solution has been proposed which is of special interest in mass transfer problems.

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References

  1. Sparrow EM, Gregg JL (1960) Flow About an Unsteadily Rotating Disc. J Aerospace Sci 27:252

    Google Scholar 

  2. Cochran WG (1934) The flow due to a rotating disc. Proc Cambridge Phil Soc 30:365

    Google Scholar 

  3. Sharma VP (1979) Acta Mechanica 32:19

    Google Scholar 

  4. Tribollet B, Newman J (1983) J Electrochem Soc, 130:2016

    Google Scholar 

  5. Mitschka P, Ulbrecht J (1985) “Nicht-Newtonsche Flüssigkeiten IV” Collec Czechoslov Chem Comm, 30:2511

    Google Scholar 

  6. Newman J (1973) “Electrochemical Systems” Prentice Hall, Inc. Englewood Cliffs, NJ

    Google Scholar 

  7. Newman J (1968) Ind Eng Chem, 7:514

    Google Scholar 

  8. Rogers MH, Lance, GW (1960) J Fluid Mech, 7:617

    Google Scholar 

  9. Sparrow EM, Gregg JL (1959) J Heat Transfer, 81 C:249

    Google Scholar 

  10. White R, Mohr C, Fedkiw P, Newman J (1975) “The Fluid Motion Generated by a Rotating Disk: A Comparison of Solution Techniques”. LBL Report n° 3910

  11. Ambari A, Deslouis C, Tribollet B (1985) PCH Journal, Vol 6, 815

    Google Scholar 

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Deslouis, C., Tribollet, B. Steady and modulated flow of an Ostwald fluid around a rotating disk. Rheol Acta 26, 336–342 (1987). https://doi.org/10.1007/BF01332251

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