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Unsteady Couette flows of second grade fluids in heated cylindrical domains

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By means of finite Hankel transforms, the exact solutions corresponding to some unsteady flows of second grade fluids in heated cylindrical domains are obtained. For steady flows, both the velocity field and the temperature are identically to those resulting from the Navier-Stokes theory.

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References

  1. Truesdell, C., Noll, W.: The nonlinear field theories of mechanics. Encyclopedia of Physics, vol. III/3. Berlin: Springer 1965.

    Google Scholar 

  2. Coleman, B. D., Noll, W.: An approximation theorem for functionals, with applications in continuum mechanics. Arch. Rat. Mech. Anal.6, 355–370 (1960).

    Google Scholar 

  3. Bandelli, R.: Unsteady unidirectional flows of second grade fluids in domains with heated boundaries. Int. J. Non-Linear Mechanics30, 263–269 (1995).

    Google Scholar 

  4. Wimmer, M.: Viscous flows and instabilities near rotating bodies. Prog. Aerospace Sci.25, 43–103 (1988).

    Google Scholar 

  5. Sneddon, I. N.: Functional analysis. Encyclopedia of Physics, vol. II. Berlin: Springer 1955.

    Google Scholar 

  6. Coleman, B. D., Markovitz, H., Noll, W.: Viscometric of non-Newtonian fluids. Berlin: Springer 1966.

    Google Scholar 

  7. Bandelli, R., Rajagopal, K. R.: Start-up flows of second grade fluids in domains with one finite dimension. Int. J. Non-Linear Mechanics30, 817–839 (1995).

    Google Scholar 

  8. Srivastava, P. N.: Non-steady helical flow of a viscoelastic fluid. Arch. Mech. Stos.18, 145–150 (1966).

    Google Scholar 

  9. Tolstov, G. P.: Serii Fourier. Bucureşti: Editura Tehnică 1955 (translation from Russian).

    Google Scholar 

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Fetecău, C., Fetecău, C. Unsteady Couette flows of second grade fluids in heated cylindrical domains. Acta Mechanica 150, 127–134 (2001). https://doi.org/10.1007/BF01178550

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  • DOI: https://doi.org/10.1007/BF01178550

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