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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 415431, 22 pages
http://dx.doi.org/10.1155/2012/415431
Research Article

On the Exact Analytical and Numerical Solutions of Nano Boundary-Layer Fluid Flows

1Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
2Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo 11757, Egypt
3Department of Mathematics, Faculty of Science, Tabuk University, Tabuk 71491, Saudi Arabia

Received 31 May 2012; Revised 24 July 2012; Accepted 25 July 2012

Academic Editor: Svatoslav Staněk

Copyright © 2012 Emad H. Aly and Abdelhalim Ebaid. 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.

Citations to this Article [10 citations]

The following is the list of published articles that have cited the current article.

  • Emad H. Aly, and Abdelhalim Ebaid, “New Analytical and Numerical Solutions for Mixed Convection Boundary-Layer Nanofluid Flow along an Inclined Plate Embedded in a Porous Medium,” Journal of Applied Mathematics, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Emad H. Aly, and Abdelhalim Ebaid, “Exact Analytical Solution for Suction and Injection Flow with Thermal Enhancement of Five Nanofluids over an Isothermal Stretching Sheet with Effect of the Slip Model: A Comparative Study,” Abstract and Applied Analysis, vol. 2013, pp. 1–14, 2013. View at Publisher · View at Google Scholar
  • Emad H. Aly, and Hamed M. Sayed, “Thermal Radiation Effects on Magnetohydrodynamic Boundary-Layer Flow Due to a Moving Extensible Surface in Nanofluids,” Journal of Computational and Theoretical Nanoscience, vol. 11, no. 8, pp. 1756–1765, 2014. View at Publisher · View at Google Scholar
  • Emad H. Aly, Abdelhalim Ebaid, and Nader Y. Abd Elazem, “Analytical and numerical investigations for the flow and heat transfer of nanofluids over a stretching sheet with partial slip boundary condition,” Applied Mathematics and Information Sciences, vol. 8, no. 4, pp. 1639–1645, 2014. View at Publisher · View at Google Scholar
  • E.H. Aly, and K. Vajravelu, “Exact and numerical solutions of MHD nano boundary-layer flows over stretching surfaces in a porous medium,” Applied Mathematics and Computation, vol. 232, pp. 191–204, 2014. View at Publisher · View at Google Scholar
  • Emad H. Aly, and Mohamed A. Hassan, “Suction and Injection Analysis of MHD Nano Boundary-Layer Over a Stretching Surface Through a Porous Medium with Partial Slip Boundary Condition,” Journal of Computational and Theoretical Nanoscience, vol. 11, no. 3, pp. 827–839, 2014. View at Publisher · View at Google Scholar
  • Emad H. Aly, “Effect of the Velocity Slip Boundary Condition on the Flow and Heat Transfer of Nanofluids Over a Stretching Sheet,” Journal Of Computational And Theoretical Nanoscience, vol. 12, no. 9, pp. 2428–2436, 2015. View at Publisher · View at Google Scholar
  • Emad H. Aly, “Existence of the multiple exact solutions for nanofluid flow over a stretching/shrinking sheet embedded in a porous medium at the presence of magnetic field with electrical conductivity and thermal radiation effects,” Powder Technology, 2016. View at Publisher · View at Google Scholar
  • K. Karimi, H. Roohani Ghehsareh, and K. Sadeghi, “An approximate solution for the MHD nano boundary-layer flows over stretching surfaces in a porous medium by rational Legendre collocation method,” Alexandria Engineering Journal, 2017. View at Publisher · View at Google Scholar
  • Fahd Al Mutairi, and Khaled, “Effects of the geometrical shape of nanoparticles and second order slip velocity on the flow and heat transfer of nanofluids and its application on tumors,” JP Journal of Heat and Mass Transfer, vol. 14, no. 1, pp. 149–163, 2017. View at Publisher · View at Google Scholar