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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Truesdell, C., Noll, W.: The non-linear field theories of mechanics (Handbuch der Physik, III/3). Berlin Heidelberg New York: Springer 1965.
Srivatsava, A. C.: The flow of a non-Newtonian liquid near a stagnation point. ZAMP9, 80–84 (1958).
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).
Beard, D. W., Walters, K.: Elastico-viscous boundary layer flows. Proc. Camb. Phil. Soc.60, 667–674 (1964).
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).
Siddiqui, A. M., Kaloni, P. N.: Certain inverse solutions of a non-Newtonian fluid., Int. J. Non-Lin. Mech.21, 459–473 (1986).
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).
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).
Erdogan, M. E.: Plane surface suddenly set in motion in a non-Newtonian fluid. Acta Mech.108, 179–187 (1995).
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).
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).
Rajagopal, K. R.: A note on unsteady unidirectional flows of a non-Newtonian fluid. Int. J. Non-Lin. Mech.17, 369–373 (1982).
Coleman, B. D., Noll, W.: An approximation theorem for functional with application in continuum mechanics. Arch. Rat. Mech. Anal.6, 335–370 (1960).
Rivlin, R. S., Ericksen, J. L.: Stress deformation relations for isotropic materials. J. Rat. Mech. Anal.4, 323–425 (1955).
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).
Fosdick, R. L., Rajagopal, K. R.: Anomalous features in the model of second-order fluids. Arch. Rat. Mech. Mech. Anal.70, 145–152 (1979).
Dunn, J. E., Rajagopal, K. R.: Fluids of differential type: critical review and thermodynamics analysis. Int. J. Eng. Sci.33, 689–729 (1995).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01177223