Summary
The flow of an inelastic power law fluid over a stretching sheet has been investigated. In the absence of an exact analytical solution several solutions embodying techniques based on different methodologies have been presented. The usefulness of these solutions has been discussed based on the comparison with the exact numerical solution.
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References
Crane, L. J.: Flow past a stretching sheet ZAMP21, 645–647 (1970).
Gupta, P. S., Gupta, A. S.: Heat and mass transfer on a stretching sheet with suction or blowing. Canad. J. Chem. Engg.55, 744–746 (1977).
Chen, C. K., Char, M.: Heat transfer of a continuous stretching surface with suction or blowing. J. Math. Anal. Appl.135, 568–580 (1988).
Rollins, D., Vajravelu, K.: Heat transfer in a second-order fluid over a continuous stretching surface. Acta Mech.89, 167–178 (1991).
Rivlin, R. S., Ericksen, J. L.: Stress deformation relation for isotropic materials. J. Rational Mech. Anal.4, 323–425 (1955).
Rajagopal, K. R., Gupta, A. S., Na, T. Y.: A note on Falkner-Skan flows of a non-Newtonian fluid. Int. J. Non-Linear Mech.18, 313–319 (1983).
Ariel, P. D.: A hybrid method for computing the flow of viscoelastic fluids. Int. J. Num. Meth. Fluids14, 757–774 (1992).
Troy, W. C.: Overmann, II E. A. Eremont-Rout, G. B., Keener, J. P.: Uniqueness of flow of secondorder fluid past a stretching sheet Quart. Appl. Math.44, 753–755 (1987).
Vajravelu, K., Roper, T.: Flow and heat transfer in a second-grade fluid over a stretching sheet. Int. J. Non-Linear Mech.34, 1031–1036 (1999).
Bhatnagar, R. K., Gupta, G., Rajagopal, K. R.: Flow of an Oldroyd-B fluid due to a stretching sheet in the presence of a free stream velocity. Int. J. Non-Linear Mech.30, 391–405 (1995).
Desseaux, A., Kelson, N. A.: Flow of a micropolar fluid bounded by a stretching sheet. ANZIAM J.42(E), C536-C560 (2000).
Metzner, A. B.: Non-Newtonian technology: fluid mechanics, mixing and heat transfer. In: Advances in chemical engineering, vol. 1, (Drew, T. B., Hoopes, J. W., Jr., eds.) pp. 77–173. New York: Academic Press: 1956.
Brinkmann, A.: Die Berechnung stationärer ebener Grenzschichtströmungen nicht-Newtonscher Flüssigkeiten für die das Ostwald-de Waelsche Reibungsgesetz gilt. Ing. Arch.36, 24–47 (1967).
Djukić, Dj. S.: Hiemenz magnetic flow of power law fluids. J. Appl. Mech., Trans. ASME40, 822–823 (1974).
Koneru, S. R., Manohar, R.: Stagnation point flows of non-Newtonian power law fluids. ZAMP19, 84–88 (1968).
Cobble, M. H.: Magnetohydrodynamic flow for a non-Newtonian power law fluid having a pressure gradient and fluid injection. J. Engg. Math.14, 47–55 (1980).
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Ariel, P.D. On the flow of power law fluid over a stretching sheet-techniques and solutions. Acta Mechanica 156, 13–27 (2002). https://doi.org/10.1007/BF01188739
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DOI: https://doi.org/10.1007/BF01188739