Summary
The flow and heat transfer characteristics of a second-order fluid over a vertical wedge with buoyancy forces have been analysed. The coupled nonlinear partial differential equations governing the nonsimilar mixed convection flow have been solved numerically using Keller box method. The effects of the buoyancy parameter, viscoelastic parameter, mass transfer parameter, pressure gradient parameter, Prandtl number and viscous dissipation parameter on the skin friction and heat transfer have been examined in detail. Particular cases of the present results match exactly with those available in the literature.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Pipkin, A. C., Tanner, R. I.: A survey of theory and experiment in viscometric flows of viscoelastic liquids. In: Mechanics today (Nemat-Nasser, S., ed.), vol. 1, pp. 262–321. Oxford: Pergamon Press 1972.
Bird, R. B., Armstrong, A. C., Hassager, O.: Dynamics of polymeric liquids: vol. 1. Fluid mechanics, 2nd ed. New York: J. Wiley 1987.
Tanner, R. I.: Engineering rheology. New York: Oxford University Press 1988.
Oldroyd, J. G.: On the formulation of rheological equations of state. Proc. R. Soc. London Ser. A200, 523–541 (1950).
Beard, D. W., Walters, K.: Elastico-viscous boundary layer flows. Proc. Camb. Phil. Soc.60, 667–674 (1964).
Rajagopal, K. R., Gupta, A. S., Wineman, A. S.: On a boundary layer theory for non-Newtonian fluids. Lett. Appl. Sci. Eng.18, 875–883 (1980).
Coleman, B. D., Noll, W.: An approximation theorem for functionals with applications in continuum mechanics. Arch. Rat. Mech. Anal.6, 355–370 (1960).
Markovitz, H., Coleman, B. D.: Advances in applied mechanics, vol. 8. New York: Academic Press 1964.
Acrivos, A.: A theoretical analysis of laminar natural convection heat transfer to non-Newtonian fluids. Am. Inst. Chem. Eng. J.6, 584–590 (1960).
Bourgin, P., Tichy, J.: The effect of an additional boundary condition on the plane creeping flow of a second order fluid. Int. J. Non-Linear Mech.24, 561–569 (1989).
Garg, V. K., Rajagopal, K. R.: Stagnation point flow of a non-Newtonian fluid. Mech. Res. Comm.17, 415–421 (1990).
Garg, V. K., Rajagopal, K. R.: Flow of a non-Newtonian fluid past a wedge. Acta Mech.88, 113–123 (1991).
Beard, D. W.: Ph. D. Thesis. University of Wales, Aboryst-Wyth, U.K. (1978).
Rajagopal, K. R., Gupta, A. S., Na, T. Y.: A note on the Falkner Skan flows of non-Newtonian fluid. Int. J. Non-Linear Mech.18, 313–319 (1983).
Cebeci, T., Bradshaw, P.: Physical and computational aspects of convective heat transfer, pp. 406–428. New York: Springer 1984.
Watanabe, T.: Thermal boundary layers over a wedge with uniform suction or injection in forced flow. Acta Mech.83, 119–126 (1990).
Rosenhead, L. (ed.): Laminar boundary layers, pp. 243–247. Oxford: Clarendon Press 1963.
Cebeci, T.: Calculation of three-dimensional boundary layers. II. Three-dimensional flows in Cartesian coordinates. AIAA J.13, 1056–1064 (1975).
Ramachandran, N., Chen, T. C., Armaly, B. F.: Mixed convection in stagnation flows adjacent to vertical surfaces. J. Heat Transfer110, 373–377 (1988).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kumari, M., Takhar, H.S. & Nath, G. Nonsimilar mixed convection flow of a non-Newtonian fluid past a vertical wedge. Acta Mechanica 113, 205–213 (1995). https://doi.org/10.1007/BF01212643
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01212643