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Periodic unsteady flows of a non-Newtonian fluid

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Summary

Exact analytic solutions for the flow of non-Newtonian fluid generated by periodic oscillations of a rigid plate are discussed. Some interesting flows caused by certain special oscillations are also obtained.

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References

  1. Truesdell, C., Noll, W.: The non-linear field theories of mechanics (Handbuch der Physik, III/3). Berlin Heidelberg New York: Springer 1965.

    Google Scholar 

  2. Srivatsava, A. C.: The flow of a non-Newtonian liquid near a stagnation point. ZAMP9, 80–84 (1958).

    Google Scholar 

  3. Rajeswari, G., Rathna, S. L.: Flow of a particular class of non-Newtonian visco-elastic and visco-inelastic fluids near a stagnation point. ZAMP13, 43–57 (1962).

    Google Scholar 

  4. Beard, D. W., Walters, K.: Elastico-viscous boundary layer flows. Proc. Camb. Phil. Soc.60, 667–674 (1964).

    Google Scholar 

  5. Mansutti, D., Pontrelli, G., Rajagopal, K. R.: Non-similar flow of a non-Newtonian fluid past a wedge. Int. J. Eng. Sci.31, 637–647 (1993).

    Google Scholar 

  6. Siddiqui, A. M., Kaloni, P. N.: Certain inverse solutions of a non-Newtonian fluid., Int. J. Non-Lin. Mech.21, 459–473 (1986).

    Google Scholar 

  7. Massoudi, M., Ramezan, M.: Effect of injection or suction on the Falkner-Skin flows of second grade fluids. Int. J. Non-Lin. Mech.24, 221–227 (1989).

    Google Scholar 

  8. Benharbit, A. M., Siddiqui, A. M.: Certain solutions of equations of the planar motion of a second grade fluid for steady and unsteady cases. Acta Mech.94, 85–96 (1992).

    Google Scholar 

  9. Erdogan, M. E.: Plane surface suddenly set in motion in a non-Newtonian fluid. Acta Mech.108, 179–187 (1995).

    Google Scholar 

  10. Rajagopal, K. R., Gupta, A. S., Wineman, A. S.: On a boundary layer theory for non-Newtonian fluids. Lett. Appl. Eng. Sci.18, 875–883 (1980).

    Google Scholar 

  11. Rajagopal, K. R., Gupta, A. S., Na, T. Y.: A note on the Falkner-Skan flows of a non-Newtonian fluid. Int. J. Non-Lin. Mech.18, 313–320 (1983).

    Google Scholar 

  12. Rajagopal, K. R.: A note on unsteady unidirectional flows of a non-Newtonian fluid. Int. J. Non-Lin. Mech.17, 369–373 (1982).

    Google Scholar 

  13. Coleman, B. D., Noll, W.: An approximation theorem for functional with application in continuum mechanics. Arch. Rat. Mech. Anal.6, 335–370 (1960).

    Google Scholar 

  14. Rivlin, R. S., Ericksen, J. L.: Stress deformation relations for isotropic materials. J. Rat. Mech. Anal.4, 323–425 (1955).

    Google Scholar 

  15. Dunn, J. E., Fosdick, R. L.: Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade. Arch. Rat. Mech. Mech. Anal.56, 191–252 (1974).

    Google Scholar 

  16. Fosdick, R. L., Rajagopal, K. R.: Anomalous features in the model of second-order fluids. Arch. Rat. Mech. Mech. Anal.70, 145–152 (1979).

    Google Scholar 

  17. Dunn, J. E., Rajagopal, K. R.: Fluids of differential type: critical review and thermodynamics analysis. Int. J. Eng. Sci.33, 689–729 (1995).

    Google Scholar 

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Author notes

  1. T. Hayat & S. Asghar

    Present address: Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan

  2. A. M. Siddiqui

    Present address: Department of Mathematics, Pennsylvania State University, York Campus, 17403, York, Pennsylvania, USA

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    1. T. Hayat
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    2. S. Asghar
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    3. A. M. Siddiqui
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    Hayat, T., Asghar, S. & Siddiqui, A.M. Periodic unsteady flows of a non-Newtonian fluid. Acta Mechanica 131, 169–175 (1998). https://doi.org/10.1007/BF01177223

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    • DOI: https://doi.org/10.1007/BF01177223

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