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Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 971456, 13 pages
http://dx.doi.org/10.1155/2011/971456
Research Article

Effect of Rotation and Magnetic Field through Porous Medium on Peristaltic Transport of a Jeffrey Fluid in Tube

1Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
2Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt

Received 8 June 2011; Accepted 25 July 2011

Academic Editor: Angelo Luongo

Copyright © 2011 S. R. Mahmoud. 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. S. R. Mahmoud, A. M. Abd-Alla, and N. A. AL-Shehri, “Effect of the rotation on the radial vibrations in a non-homogeneous orthotropic hollow cylinder,” International Journal of Modern Physics B. In press. View at Publisher · View at Google Scholar
  2. S. R. Mahmoud, A. M. Abd-Alla, and B. R. Matooka, “Effect of the rotation on wave motion through cylindrical bore in a micropolar porous cubic crystal,” International Journal of Modern Physics B, vol. 25, no. 20, pp. 2713–2728, 2011. View at Google Scholar
  3. S. R. Mahmoud, A. M. Abd-Alla, and N. A. AL-Shehri, “Effect of rotation on thermoelastic waves in a non-homogeneous infinite cylinder,” The Open Mechanics Journal, vol. 4, pp. 58–64, 2010. View at Google Scholar
  4. A. M. Abd-Alla, S. R. Mahmoud, and N. A. AL-Shehri, “Effect of the rotation on a non-homogeneous infinite cylinder of orthotropic material,” Applied Mathematics and Computation, vol. 217, no. 22, pp. 8914–8922, 2011. View at Google Scholar
  5. A. M. Abd-Alla, S. R. Mahmoud, and M. I. R. Helmy, “Influences of rotation, magnetic field, initial stress, and gravity on Rayleigh waves in a homogeneous orthotropic elastic half-space,” Applied Mathematical Sciences, vol. 4, no. 1–4, pp. 91–108, 2010. View at Google Scholar · View at Zentralblatt MATH
  6. A. M. Abd-Alla and S. R. Mahmoud, “Magneto-thermoelastic problem in rotating non-homogeneous orthotropic hollow cylinder under the hyperbolic heat conduction model,” Meccanica, vol. 45, no. 4, pp. 451–462, 2010. View at Publisher · View at Google Scholar
  7. A. M. Abd-Alla and S. R. Mahmoud, “Effect of the rotation on propagation of thermoelastic waves in a non-homogeneous infinite cylinder of isotropic material,” International Journal of Mathematical Analysis, vol. 4, no. 42, pp. 2051–2064, 2010. View at Google Scholar
  8. S. R. Mahmoud, “Effect of rotation on generalized magneto-thermoelastic rayleigh waves in a granular medium under influence of gravity field and initial stress,” Applied Mathematical Sciences, vol. 5, no. 41, pp. 2013–2032, 2011. View at Google Scholar
  9. N. A. Afifi, S. R. Mahmoud, and H. M. Al-Isede, “Effect of magnetic field and wall properties on peristaltic motion of micropolar fluid in circular cylindrical tubes,” International Mathematical Forum, vol. 6, no. 27, pp. 1345–1356, 2011. View at Google Scholar
  10. N. A. S. Afifi and N. S. Gad, “Interaction of peristaltic flow with pulsatile magneto-fluid through a porous medium,” Acta Mechanica, vol. 149, no. 1–4, pp. 229–237, 2001. View at Publisher · View at Google Scholar · View at Scopus
  11. N. A. S. Afifi, “Aspects of a magneto-fluid with suspended particles,” Applied Mathematics & Information Sciences, vol. 1, no. 1, pp. 103–112, 2007. View at Google Scholar · View at Zentralblatt MATH
  12. T. Hayat, M. Khan, and M. Ayub, “Couette and Poiseuille flows of an Oldroyd 6-constant fluid with magnetic field,” Journal of Mathematical Analysis and Applications, vol. 298, no. 1, pp. 225–244, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. C. Fetecau and C. Fetecau, “On some axial Couette flows of non-Newtonian fluids,” Zeitschrift für Angewandte Mathematik und Physik (ZAMP), vol. 56, no. 6, pp. 1098–1106, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  14. W. C. Tan and T. Masuoka, “Stokes first problem for second grade fluid in a porous half space,” International Journal of Non-Linear Mechanics, vol. 40, no. 4, pp. 515–522, 2005. View at Publisher · View at Google Scholar · View at Scopus
  15. A. M. Siddiqui and W. H. Schwarz, “Peristaltic motion of a third-order fluid in a planar channel,” Rheologica Acta, vol. 32, no. 1, pp. 47–56, 1993. View at Publisher · View at Google Scholar · View at Scopus
  16. A. M. Siddiqui and W. H. Schwarz, “Peristaltic flow of a second-order fluid in tubes,” Journal of Non-Newtonian Fluid Mechanics, vol. 53, pp. 257–284, 1994. View at Google Scholar · View at Scopus
  17. R. A. Ramachandra and S. Usha, “Peristaltic transport of two immiscible viscous fluids in a circular tube,” Journal of Fluid Mechanics, vol. 298, pp. 271–285, 1995. View at Google Scholar · View at Scopus
  18. T. Hayat, Y. Wang, K. Hutter, S. Asghar, and A. M. Siddiqui, “Peristaltic transport of an Oldroyd-B fluid in a planar channel,” Mathematical Problems in Engineering, no. 4, pp. 347–376, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  19. A. M. Siddiqui and W. H. Schwarz, “Peristaltic flow of a second-order fluid in tubes,” Journal of Non-Newtonian Fluid Mechanics, vol. 53, pp. 257–284, 1994. View at Google Scholar · View at Scopus
  20. Kh. S. Mekheimer, “Peristaltic flow of blood under effect of a magnetic field in a non-uniform channels,” Applied Mathematics and Computation, vol. 153, no. 3, pp. 763–777, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  21. Kh. S. Mekheimer, “Peristaltic transport of a couple stress fluid in a uniform and non-uniform channels,” Biorheology, vol. 39, no. 6, pp. 755–765, 2002. View at Google Scholar · View at Scopus
  22. T. Hayat and N. Ali, “Peristaltic motion of a Jeffrey fluid under the effect of a magnetic field in a tube,” Communications in Nonlinear Science and Numerical Simulation, vol. 13, no. 7, pp. 1343–1352, 2008. View at Publisher · View at Google Scholar
  23. T. Hayat, Y. Wang, A. M. Siddiqui, K. Hutter, and S. Asghar, “Peristaltic transport of a third-order fluid in a circular cylindrical tube,” Mathematical Models & Methods in Applied Sciences, vol. 12, no. 12, pp. 1691–1706, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  24. A. M. Siddiqui, T. Hayat, and M. Khan, “Magnetic fluid model induced by peristaltic waves,” Journal of the Physical Society of Japan, vol. 73, pp. 2142–2147, 2004. View at Google Scholar
  25. K. H. S. Mekheimer, “Non-linear peristaltic transport of magneto-hydrodynamic flow in aninclined planar channel,” Arabian Journal for Science and Engineering, vol. 28, no. 2A, pp. 183–201, 2003. View at Google Scholar