Flow of a fluid with pressure dependent viscosity due to a boundary that is being stretched

Applied Mathematics and Computation

Volumn 173, Issue 1, 2006, Pages 50-68

  Prasad, Sharat C ^a   Rajagopal, K R ^a  

^a Texas AandM University   (United States)

Author keywords

Incompressible fluid; Pressure dependent viscosity; Stretching sheet

Indexed keywords

BOUNDARY LAYERS; CONCENTRATION (PROCESS); NAVIER STOKES EQUATIONS; PRESSURE EFFECTS; SURFACE PHENOMENA; VISCOSITY OF LIQUIDS; VORTEX FLOW;

INCOMPRESSIBLE FLUID; PRESSURE DEPENDENT VISCOSITY; STRETCHING SHEET;

FLOW OF FLUIDS;

EID: 32144434570     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.02.043     Document Type: Article

References (26)

1. G.G. Stokes On the theories of the internal friction of fluids in motion, and of the equilibrium and motion of elastic solids Trans. Camb. Phil. Soc. 8 1845 287 305
2. P.W. Bridgman The physics of high pressure 1931 MacMillan New York
3. C. Andrade Viscosity of liquids Nature 125 1930 309 310
4. A.Z. Szeri Fluid film lubrication: theory and design 1998 Cambridge University Press
5. W.G. Cutler, R.H. McMickle, W. Webb, and R.W. Schiessler Study of the compressions of several high molecular weight hydrocarbons J. Chem. Phys. 29 1958 727 740
6. E.M. Griest, W. Webb, and R.W. Schiessler Effect of pressure on viscosity of higher hydrocarbons and their mixtures J. Chem. Phys. 29 1958 711 720
7. K.L. Johnson, and R. Cameron Shear behavior of elastohydrodynamic oil films at high rolling contact pressure Proc. Inst. Mech. Eng. 182 1967 307 319
8. K.L. Johnson, and J.A. Greenwood Thermal analysis of an Eyring fluid in elastohydrodynamic traction Wear 61 1980 355 374
9. K.L. Johnson, and J.L. Tevaarwerk Shear behavior of elastohydrodynamic oil films Proc. R. Soc. Lond. A 356 1977 215 236
10. S. Bair, and W.O. Winer The high pressure high shear stress rheology of liquid lubricants J. Tribol. 114 1992 1 13
11. J. Malek, J. Necas, and K.R. Rajagopal Global analysis of the flows of fluids with pressure-dependent viscosity Arch. Rational Mech. Anal. 165 2002 243 269
12. M. Franta, J. Malek, and K.R. Rajagopal On steady flows of fluids with pressure and shear-dependent viscosities Proc. R. Soc. Lond. A 461 2005 651 670
13. J. Hron, J. Malek, and K.R. Rajagopal Simple flows of fluids with pressure-dependent viscosities Proc. R. Soc. Lond. A 457 2001 1603 1622
14. K.R. Rajagopal, and K. Kannan Flows of a fluid with pressure dependent viscosities between rotating parallel plates P. Fergola F. Capone M. Gentile G. Guerriero New Trends in Mathematical Physics 2005 World Scientific Singapore
15. J.E. Danberg, and K.S. Fansler A nonsimilar moving-wall boundary-layer problem Quart. Appl. Math. 34 1976 305 309
16. H.I. Andersson MHD flow of a viscoelastic fluid past a stretching surface Acta Mech. 95 1-4 1992 227 230
17. H.I. Andersson, K.H. Bech, and B.S. Dandapat Magnetohydrodynamic flow of a power-law fluid over a stretching sheet Int. J. Nonlinear Mech. 27 6 1992 929 936
18. B.S. Dandapat, and A.S. Gupta Flow and heat-transfer in a viscoelastic fluid over a stretching sheet Int. J. Nonlinear Mech. 24 3 1989 215 219
19. V.G. Fox, L.E. Erickson, and L.T. Fan Laminar boundary layer on a moving continuous flat sheet immersed in a non-Newtonian fluid AICHE J. 15 3 1969 327 333
20. P.S. Gupta, and A.S. Gupta Heat and mass-transfer on a stretching sheet with suction or blowing Can. J. Chem. Phys. 55 6 1977 744 746
21. I.A. Hassanien Similarity solutions for flow and hear transfer of a viscoelastic fluid over a stretching sheet extruded in a cross cooling stream ZAMM 82 6 2002 409 419
22. P.S. Lawrence, and B.N. Rao Heat-transfer in a viscoelastic boundary-layer flow over a stretching sheet J. Phys. D-Appl. Phys. 27 6 1994 1323 1327
23. S.J. Liao On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet J. Fluid Mech. 488 2003 189 212
24. M. Massoudi, and C.E. Maneschy Numerical solution to the flow of a second grade fluid over a stretching sheet using the method of quasi-linearization Appl. Math. Comp. 149 1 2004 165 173
25. K. Vajravelu, and D. Rollins Heat-transfer in a viscoelastic fluid over a stretching sheet J. Math. Anal. Appl. 158 1 1991 241 255
26. K. Vajravelu Convection heat-transfer at a stretching sheet with suction or blowing J. Math. Anal. Appl. 188 3 1994 1002 1011