Flow field of a third-grade non-Newtonian fluid in the annulus of rotating concentric cylinders in the presence of magnetic field

Journal of Mathematical Analysis and Applications

Volumn 337, Issue 1, 2008, Pages 632-645

  Feiz Dizaji, A ^a   Salimpour, M R ^a   Jam, F ^a  

^a UNIVERSITY OF TEHRAN   (Iran)

Author keywords

Ascoli Arzela theorem; Banach space; Magnetic field; Schauder's fixed point theorem; Third grade fluid

Indexed keywords

EID: 34548201315     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2007.03.110     Document Type: Article

References (17)

1. Oldroyd J.G. On the formulation of rheological equations of state. Proc. Roy. Soc. Lond. Ser. A 200 (1950) 523-541
2. Truesdell C., and Noll W. The non-linear field theories of mechanics. In: Flugge W. (Ed). Handbuch der Physik vol. III/3 (1965), Springer, Berlin
3. Rajagopal K.R. Mechanics of non-Newtonian fluids. In: Galdi G.P., and Necas J. (Eds). Recent Developments in Theoretical Fluid Mechanics. Pitman Res. Notes in Math. Ser. vol. 291 (1993), Longman Scientific and Technical, New York
4. Rivlin R.S., and Ericksen J.L. Stress-deformation relations for isotropic materials. J. Rational Mech. Anal. 4 (1955) 323-425
5. Rajagopal K.R. On the creeping flow of the second-order fluid. J. Non-Newtonian Fluid Mech. 15 2 (1984) 239-246
6. Rajagopal K.R., and Kaloni P.N. Some remarks on boundary conditions for flow of fluids of the differential type. In: Burnaby B.C. (Ed). Continuum Mechanics and Its Applications (1989), Hemisphere, New York
7. Vajravelu K., Cannon J.R., Rollins D., and Leto J. On solutions of some non-linear differential equations arising in third-grade fluid flows. Int. J. Eng. Sci. 40 16 (2002) 1791-1805
8. Hayat T., and Kara A.H. Couette flow of a third-grade fluid with variable magnetic field. Math. Comput. Modelling 43 (2006) 132-137
9. Hayat T., and Ali N. Peristaltically induced motion of a MHD third-grade fluid in a deformable tube. Phys. A 370 (2006) 225-239
10. Hayat T., and Kara A.H. A variational analysis of a non-Newtonian flow in a rotating system. Int. J. Comput. Fluid Dyn. 20 3-4 (2006) 157-162
11. Hayat T., Ellahi R., Ariel P.D., and Asghar S. Homotopy solution for the channel flow of a third-grade fluid. Nonlinear Dynam. 45 1-2 (2006) 55-64
12. Asghar S., Mohyuddin M.R., Ariel P.D., and Hayat T. On Stokes' problem for the flow of a third-grade fluid induced by a variable shear stress. Can. J. Phys. 84 11 (2006) 945-958
13. Dunn J.E., and Fosdick R.L. Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade. Arch. Ration. Mech. Anal. 56 3 (1974) 191-252
14. Fosdick R.L., and Rajagopal K.R. Thermodynamics and stability of fluids of third-grade. Proc. Roy. Soc. Lond. Ser. A 339 (1980) 351-377
15. Hayat T., Wang Y., and Hutter K. Flow of a fourth grade fluid. Math. Models Methods Appl. Sci. 12 6 (2002) 797-811
16. V.J. Rossow, On flow of electrically conducting fluids over a flat plate in the presence of a transverse magnetic field, NASA report No. 1358, 1958, p. 489
17. Yeadon W.H., and Yeadon A.W. Handbook of Small Electric Motors (2001), McGraw-Hill Company