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Mathematical Problems in Engineering
Volume 2016, Article ID 4729063, 4 pages
http://dx.doi.org/10.1155/2016/4729063
Research Article

Estimation of the Shear Stress Parameter of a Power-Law Fluid

Department of Mathematics and Statistics, Al Imam Mohammad Ibn Saud Islamic University, P.O. Box 90950, Riyadh 11623, Saudi Arabia

Received 28 May 2016; Accepted 27 June 2016

Academic Editor: Mohamed Abd El Aziz

Copyright © 2016 Samer S. Al-Ashhab and Rubayyi T. Alqahtani. 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. H. Blasius, “Grenzschichten in Flüssigkeiten mit kleiner Reibung,” Zeitschrift für Angewandte Mathematik und Physik, vol. 56, pp. 1–37, 1908. View at Google Scholar
  2. M. Guedda and Z. Hammouch, “Similarity flow solutions of a non-Newtonian power-law fluid,” International Journal of Nonlinear Science, vol. 6, no. 3, pp. 255–264, 2008. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. M. Guedda, “Boundary-layer equations for a power-law shear-driven flow over a plane surface of non-Newtonian fluids,” Acta Mechanica, vol. 202, no. 1–4, pp. 205–211, 2009. View at Publisher · View at Google Scholar · View at Scopus
  4. A. Nachman and S. Taliaferro, “Mass transfer into boundary layers for power law fluids,” Proceedings of the Royal Society of London Series A: Mathematical and Physical Sciences, vol. 365, no. 1722, pp. 313–326, 1979. View at Publisher · View at Google Scholar · View at MathSciNet
  5. L. Zheng, X. Zhang, and J. He, “Existence and estimate of positive solutions to a nonlinear singular boundary value problem in the theory of dilatant non-Newtonian fluids,” Mathematical and Computer Modelling, vol. 45, no. 3-4, pp. 387–393, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  6. T. G. Howell, D. R. Jeng, and K. J. De Witt, “Momentum and heat transfer on a continuous moving surface in a power law fluid,” International Journal of Heat and Mass Transfer, vol. 40, no. 8, pp. 1853–1861, 1997. View at Publisher · View at Google Scholar · View at Scopus
  7. X.-H. Chen, L.-C. Zheng, and X.-X. Zhang, “MHD boundary layer flow of a non-newtonian fluid on a moving surface with a power-law velocity,” Chinese Physics Letters, vol. 24, no. 7, pp. 1989–1991, 2007. View at Publisher · View at Google Scholar · View at Scopus
  8. X. Su, L. Zheng, and J. Feng, “Approximate analytical solutions and approximate value of skin friction coefficient for boundary layer of power law fluids,” Applied Mathematics and Mechanics, vol. 29, no. 9, pp. 1215–1220, 2008. View at Google Scholar
  9. G. Bognár, “Similarity solution of a boundary layer flows for non-Newtonian fluids,” International Journal of Nonlinear Sciences and Numerical Simulation, vol. 10, no. 11-12, pp. 1555–1566, 2009. View at Google Scholar · View at Scopus
  10. M. C. Ece and E. Büyük, “Similarity solutions for free convection to power-law fluids from a heated vertical plate,” Applied Mathematics Letters, vol. 15, no. 1, pp. 1–5, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  11. S.-J. Liao, “A challenging nonlinear problem for numerical techniques,” Journal of Computational and Applied Mathematics, vol. 181, no. 2, pp. 467–472, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  12. D. M. Wei and S. Al-Ashhab, “Similarity solutions for non-Newtonian power-law fluid flow,” Applied Mathematics and Mechanics, vol. 35, no. 9, pp. 1155–1166, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. H. Schlichting, Boundary Layer Theory, McGraw-Hill Press, New York, NY, USA, 1979.
  14. G. Bohme, Non-Newtonian Fluid Mechanics, North-Holland Series in Applied Mathematics and Mechanics, Elsevier Science, Amsterdam, The Netherlands, 1987.
  15. S. Al-Ashhab, “A curvature-unified equation for a non-Newtonian power-law fluid flow,” International Journal of Advances in Applied Mathematics and Mechanics, vol. 2, no. 3, pp. 72–77, 2015. View at Google Scholar · View at MathSciNet