Table of Contents
Journal of Fluids
Volume 2015 (2015), Article ID 253504, 5 pages
http://dx.doi.org/10.1155/2015/253504
Research Article

Suction/Injection Effects on the Swirling Flow of a Reiner-Rivlin Fluid near a Rough Surface

1Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769008, India
2Faculté de Génie, Université de Sherbrooke, Sherbrooke, QC, Canada J1K 2R1
3Aix-Marseille Université, CNRS, École Centrale, Laboratoire M2P2 UMR 7340, 13451 Marseille, France
4Department of Mathematics, Luther College, University of Regina, Regina, SK, Canada S4S 0A2

Received 25 August 2014; Accepted 16 December 2014

Academic Editor: Robert M. Kerr

Copyright © 2015 Bikash Sahoo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. B. Sahoo, “Effects of slip on steady Bödewadt flow and heat transfer of an electrically conducting non-Newtonian fluid,” Communications in Nonlinear Science and Numerical Simulation, vol. 16, no. 11, pp. 4284–4295, 2011. View at Publisher · View at Google Scholar · View at Scopus
  2. B. Sahoo and S. Poncet, “Effects of slip on steady Bödewadt flow of a non-Newtonian fluid,” Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 11, pp. 4181–4191, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. U. T. Bödewadt, “Die Drehströmung über festem Grunde,” ZAMM-Zeitschrift für Angewandte Mathematik und Mechanik, vol. 20, no. 5, pp. 241–253, 1940. View at Publisher · View at Google Scholar
  4. R. T. Bonnecaze, N. Mano, B. Nam, and A. Heller, “On the behavior of the porous rotating disk electrode,” Journal of the Electrochemical Society, vol. 154, no. 2, pp. F44–F47, 2007. View at Publisher · View at Google Scholar · View at Scopus
  5. R. J. Lingwood, “On the effects of suction and injection on the absolute instability of the rotating-disk boundary layer,” Physics of Fluids, vol. 9, no. 5, pp. 1317–1328, 1997. View at Publisher · View at Google Scholar · View at Scopus
  6. N. Kelson and A. Desseaux, “Note on porous rotating disk flow,” ANZIAM Journal, vol. 42, pp. C837–C855, 2000. View at Google Scholar
  7. H. A. Attia, “On the effectiveness of uniform suction and injection on unsteady rotating disk flow in porous medium with heat transfer,” Computational Materials Science, vol. 38, no. 2, pp. 240–244, 2006. View at Publisher · View at Google Scholar · View at Scopus
  8. M. Ashraf, M. A. Kamal, and K. S. Syed, “Numerical simulation of flow of a micropolar fluid between a porous disk and a non-porous disk,” Applied Mathematical Modelling, vol. 33, no. 4, pp. 1933–1943, 2009. View at Publisher · View at Google Scholar · View at Scopus
  9. G. Domairry and A. Aziz, “Approximate analysis of MHD dqueeze flow between two parallel disks with suction or injection by homotopy perturbation method,” Mathematical Problems in Engineering, vol. 2009, Article ID 603916, 19 pages, 2009. View at Publisher · View at Google Scholar · View at Scopus
  10. W. R. Schowalter, Mechanics of Non-Newtonian Fluids, Pergamon Press, Oxford, UK, 1978.
  11. D. R. Smith, An Introduction to Continuum Mechanics—after Truesdell and Noll, vol. 22 of Solid Mechanics and its Applications, Kluwer Academic, Dordrecht, The Netherlands, 1993. View at Publisher · View at Google Scholar · View at MathSciNet
  12. T. von Kármán, “Über laminare und turbulente Reibung,” Zeitschrift für Angewandte Mathematik und Mechanik, vol. 1, no. 4, pp. 233–252, 1921. View at Publisher · View at Google Scholar
  13. B. Sahoo, S. Abbasbandy, and S. Poncet, “A brief note on the computation of the Bödewadt flow with Navier slip boundary conditions,” Computers and Fluids, vol. 90, pp. 133–137, 2014. View at Publisher · View at Google Scholar · View at Scopus
  14. A. I. van de Vooren, E. F. F. Botta, and J. Stout, “The boundary layer on a disk at rest in a rotating fluid,” Quarterly Journal of Mechanics and Applied Mathematics, vol. 40, no. 1, pp. 15–32, 1987. View at Publisher · View at Google Scholar · View at Scopus
  15. D. K. Salkuyeh, “Generalized Jacobi and Gauss-Seidel methods for solving linear system of equations,” Numerical Mathematics A: Journal of Chinese Universities, vol. 16, no. 2, pp. 164–170, 2007. View at Google Scholar · View at MathSciNet