Table of Contents
Journal of Computational Engineering
Volume 2015, Article ID 293105, 6 pages
http://dx.doi.org/10.1155/2015/293105
Research Article

New Application for the Generalized Incomplete Gamma Function in the Heat Transfer of Nanofluids via Two Transformations

Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia

Received 20 September 2014; Accepted 20 February 2015

Academic Editor: Clement Kleinstreuer

Copyright © 2015 Abdelhalim Ebaid and Hibah S. Alhawiti. 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. E. H. Aly and A. 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, Article ID 219486, 7 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  2. G. Adomian, Solving frontier problems of physics: the decomposition method, vol. 60 of Fundamental Theories of Physics, Kluwer Academic, Boston, Mass, USA, 1994. View at Publisher · View at Google Scholar · View at MathSciNet
  3. S. S. Siddiqi and M. Iftikhar, “Comparison of the Adomian decomposition method with homotopy perturbation method for the solutions of seventh order boundary value problems,” Applied Mathematical Modelling, vol. 38, no. 24, pp. 6066–6074, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. A. Dib, A. Haiahem, and B. Bou-said, “An analytical solution of the MHD Jeffery-Hamel flow by the modified adomian decomposition method,” Computers & Fluids, vol. 102, pp. 111–115, 2014. View at Publisher · View at Google Scholar
  5. E. H. Aly, A. Ebaid, and R. Rach, “Advances in the Adomian decomposition method for solving two-point nonlinear boundary value problems with Neumann boundary conditions,” Computers & Mathematics with Applications, vol. 63, no. 6, pp. 1056–1065, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. A.-M. Wazwaz, R. Rach, and J.-S. Duan, “Adomian decomposition method for solving the Volterra integral form of the Lane-Emden equations with initial values and boundary conditions,” Applied Mathematics and Computation, vol. 219, no. 10, pp. 5004–5019, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. F. Shakeri Aski, S. J. Nasirkhani, E. Mohammadian, and A. Asgari, “Application of Adomian decomposition method for micropolar flow in a porous channel,” Original Research Article Propulsion and Power Research, vol. 3, no. 1, pp. 15–21, 2014. View at Publisher · View at Google Scholar
  8. G. Domairry and M. Hatami, “Squeezing Cu-water nanofluid flow analysis between parallel plates by DTM-Padé Method,” Journal of Molecular Liquids, vol. 193, pp. 37–44, 2014. View at Publisher · View at Google Scholar · View at Scopus
  9. M. M. Rashidi, N. Laraqi, and S. M. Sadri, “A novel analytical solution of mixed convection about an inclined flat plate embedded in a porous medium using the DTM-Padé,” International Journal of Thermal Sciences, vol. 49, no. 12, pp. 2405–2412, 2010. View at Publisher · View at Google Scholar · View at Scopus
  10. J.-H. He, “Homotopy perturbation technique,” Computer Methods in Applied Mechanics and Engineering, vol. 178, no. 3-4, pp. 257–262, 1999. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. R. A. van Gorder, “The variational iteration method is a special case of the homotopy analysis method,” Applied Mathematics Letters, vol. 45, pp. 81–85, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  12. M. A. A. Hamad, “Analytical solution of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnetic field,” International Communications in Heat and Mass Transfer, vol. 38, no. 4, pp. 487–492, 2011. View at Publisher · View at Google Scholar · View at Scopus
  13. A. Ebaid, F. Al Mutairi, and S. M. Khaled, “Effect of velocity slip boundary condition on the flow and heat transfer of Cu-water and TiO2-water nanofluids in the presence of a magnetic field,” Advances in Mathematical Physics, vol. 2014, Article ID 538950, 9 pages, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  14. K. Khanafer, K. Vafai, and M. Lightstone, “Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids,” International Journal of Heat and Mass Transfer, vol. 46, no. 19, pp. 3639–3653, 2003. View at Publisher · View at Google Scholar · View at Scopus
  15. K. Khanafer and K. Vafai, “A critical synthesis of thermophysical characteristics of nanofluids,” International Journal of Heat and Mass Transfer, vol. 54, no. 19-20, pp. 4410–4428, 2011. View at Publisher · View at Google Scholar · View at Scopus
  16. E. H. Aly and A. Ebaid, “Exact solutions for boundary-layer flow of a nanofluid past a stretching sheet,” Journal of Computational and Theoretical Nanoscience, vol. 10, pp. 2591–2594, 2013. View at Publisher · View at Google Scholar