Steady mixed convection stagnation-point flow of upper convected Maxwell fluids with magnetic field

International Journal of Non-Linear Mechanics

Volumn 44, Issue 10, 2009, Pages 1048-1055

  Kumari, M ^a   Nath, G ^b  

^a INDIAN INSTITUTE OF SCIENCE   (India)

^b KNIT   (India)

Author keywords

Boundary layer; Magnetic field; Maxwell fluid; Mixed convection; Stagnation point flow

Indexed keywords

BOUNDARY LAYER THEORY; BUOYANCY PARAMETERS; DISPLACEMENT THICKNESS; ELASTICITY NUMBER; INDUCED MAGNETIC FIELDS; MAXWELL FLUID; MIXED CONVECTION FLOW; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; SECOND-GRADE FLUID; STAGNATION POINTS; STAGNATION-POINT FLOW; SURFACE HEAT TRANSFER; SURFACE VELOCITY; UPPER-CONVECTED MAXWELL FLUIDS; VISCO-ELASTIC FLUID;

BOUNDARY LAYERS; EQUATIONS OF MOTION; FLUIDS; HEAT EXCHANGERS; HEAT TRANSFER; MAGNETIC FIELDS; MAGNETIC MATERIALS; MAXWELL EQUATIONS; MIXED CONVECTION; TWO DIMENSIONAL;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 70349981411     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2009.08.002     Document Type: Article

References (28)

1. Schlichting H., and Gersten C. Boundary Layer Theory. eighth ed. (2000), Springer, Berlin
2. Rajagopal K.R., Gupta A.S., and Wineman A.S. On a boundary layer theory for non-Newtonian fluids. Appl. Sci. Eng. Lett. 18 (1980) 875
3. Rajagopal K.R. Boundary layers in non-linear fluids. In: Monteivo Marques M.D.P., and Rodriques J.F. (Eds). Trends in Applications of Mathematics to Mechanics, Pittman Monographs and Surveys in Pure and Applied Mathematics vol. 77 (1995), Longman, New York 209
4. Davies M.H. A note on elastic-viscous boundary layer flows. Z. Angew. Math. Phys. 17 (1996) 189
5. Rajagopal K.R., and Gupta A.S. An exact solution for the flow of a non-Newtonian fluid past an infinite porous plate. Meccanica 19 (1980) 158
6. Pakdemirli M. Convential and multiple deck boundary layer approach to second and third grade fluids. Int. J. Eng. Sci. 32 (1994) 141
7. Beard D.W., and Walters K. Elastico-viscous boundary layer flows. Proc. Cambridge Philos. Soc. 60 (1964) 664
8. Teipel I. Stagnation point flow of a non-Newtonian second-order fluid. Trans. CSME 12 (1988) 57
9. Garg V.K., and Rajagopal K.R. Stagnation-point flow of non-Newtonian fluid. Mech. Res. Commun. 17 (1990) 415
10. Pakdemirli M., and Suhubi E.S. Similarity solutions of boundary layer equations for second-order fluids. Int. J. Eng. Sci. 30 (1992) 611
11. Ariel P.D. A hybrid method for computing the flow of viscoelastic fluids. Int. J. Numer. Methods Fluids 14 (1992) 757
12. Fosdick R.L., and Rajagopal K.R. Anomalous features in the model of second-order fluids. Arch. Ration. Mech. Anal. 70 (1979) 145
13. Dunn J.E., and Rajagopal K.R. Fluids of differential type: critical review and thermodynamic analysis. Int. J. Eng. Sci. 40 (2002) 145
14. R.B. Bird, R.C. Armstrong, O. Hassager, Dynamics of Polymeric Liquids, vols. 1 and 2, second ed., Wiley, New York, 1987.
15. Larson R.G. Constitutive Equations for Polymer Melts and Solutions (1988), Butterworths, Boston
16. Bhatnagar R.K., Gupta G., and 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 (1995) 391
17. Sadeghy K., and Sharifi M. Blasius flow of viscoelastic fluid: a numerical approach. Int. J. Appl. Mech. 9 (2004) 399
18. Sadeghy K., Najafi A.H., and Saffaripur M. Sakiadis flow of an upper-convected Maxwell fluid. Int. J. Non-Linear Mech. 40 (2005) 1220
19. Renardy M. High Weissenberg number boundary layers for the upper-convected Maxwell fluid. J. Non-Newtonian Fluid Mech. 68 (1997) 125
20. Hagen T., and Renardy M. Boundary layer analysis of the Phan-Thien Tanner and Giesekus model in high Weissenberg number flow. J. Non-Newtonian Fluid Mech. 73 (1997) 181
21. Phan-Thien N. Plane and axi-symmetric stagnation flow of a Maxwellian fluid. Rheol. Acta 22 (1983) 127
22. Sadeghy K., Hajibeygi H., and Taghavi S.M. Stagnation-point flow of upper-convected Maxwell fluids. Int. J. Non-Linear Mech. 41 (2006) 1242
23. Hayat T., and Sajid M. Homotopy analysis of MHD boundary layer flow of an upper-convected Maxwell fluid. Int. J. Eng. Sci. 45 (2007) 393
24. Rao I.J., and Rajagopal K.R. On a new interpretation of the classical Maxwell model. Mech. Res. Commun. 34 (2007) 509
25. Gribben R.J. The magnetohydrodynamic boundary layer in the presence of a pressure gradient. Proc. R. Soc. London 287A (1965) 123
26. Davidson P.A. An Introduction to Magnetohydrodynamics (2001), Cambridge University Press, Cambridge
27. Cebeci T., and Bradshaw P. Physical and Computational Aspects of Convective Heat Transfer (1984), Springer, New York
28. Liu I.C. Flow and heat transfer of an electrically conducting fluid of second grade over a stretching sheet subject to a transverse magnetic field. Int. J. Heat Mass Transfer 47 (2004) 4427