Analytical and numerical solutions of nonlinear differential equations arising in non-newtonian fluid flows

Journal of Mathematical Analysis and Applications

Volumn 250, Issue 1, 2000, Pages 204-221

  Vajravelu, K ^a   Cannon, J R ^a   Rollins, D ^a  

^a UNIVERSITY OF CENTRAL FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034288641     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7078     Document Type: Article

References (13)

1. Beard D. W., Walters K. Elastico-viscous boundary layer flows. Proc. Cambridge Philos. Soc. 60:1964;667-674.
2. Garg V. K., Rajagopal K. R. Flow of a non-Newtonian fluid past a wedge. Acta Mech. 88:1991;113-123.
3. Rajeswari G. K., Rathna S. L. Flow of a particular class of non-Newtonian visco-elastic and visco-elastic fluids near a stagnation point. Z. Angew. Math. Phys. 13:1962;43-57.
4. Markovitz H., Coleman B. D. Advances in Applied Mechanics. 1964;Academic Press, New York.
5. Acrivos A. A theoretical analysis of laminar natural convection heat transfer to non-Newtonian fluids. Amer. Inst. Chem. Engrg. J. 6:1960;584-590.
6. Dunn J. E., Rajagopal K. R. Fluids of differential type: Critical review and thermodynamic analysis. Internat. J. Engrg. Sci. 33:1995;689-729.
7. Vajravelu K., Rollins D. Heat transfer in a viscoelastic fluid over a stretching sheet. J. Math. Anal. Appl. 158:1991;241-255.
8. Sarma M. S., Rao B. N. Heat transfer in a viscoelastic fluid over a stretching sheet. J. Math. Anal. Appl. 222:1998;268-275.
9. Troy W. C., Overman E. A., Ermentrout G. B., Keener J. P. Uniqueness of flow of a second order fluid past a stretching sheet. Quart. Appl. Math. 44:1987;753-755.
10. Chang W. D. The nonuniqueness of the flow of a viscoelastic fluid over a stretching sheet. Quart. Appl. Math. 47:1989;365-366.
11. Lawrence P. S., Rao B. N. Reinvestigation of the nonuniqueness of the flow of a viscoelastic fluid over a stretching sheet. Quart. Appl. Math. 51:1993;401-404.
12. Chang W. D., Kazarinoff N. D., Lu C. A new family of explicit solutions for the similarity equations modelling flow of a non-Newtonian fluid over a stretching sheet. Arch. Rational Mech. Anal. 113:1991;191-195.
13. Vajravelu K., Roper T. Flow and heat transfer in a second grade fluid over a stretching sheet. Internat. J. Nonlinear Mech. 34:1999;1031-1036.