Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2013, Article ID 616947, 8 pages
http://dx.doi.org/10.1155/2013/616947
Research Article

Hydromagnetic Stagnation-Point Flow towards a Radially Stretching Convectively Heated Disk

1Department of Mathematics, University of Venda, Private Bag X5050, Thohoyandou 0950, South Africa
2Institute for Advanced Research in Mathematical Modelling and Computations, Cape Peninsula University of Technology, P.O. Box 1906, Bellville 7535, South Africa

Received 16 March 2013; Revised 23 May 2013; Accepted 26 May 2013

Academic Editor: Waqar Khan

Copyright © 2013 S. Shateyi and O. D. Makinde. 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. M. S. Abel and N. Mahesha, “Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat source and radiation,” Applied Mathematical Modelling, vol. 32, no. 10, pp. 1965–1983, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. R. C. Bataller, “Viscoelastic fluid flow and heat transfer over a stretching sheet under the effects of a non-uniform heat source, viscous dissipation and thermal radiation,” International Journal of Heat and Mass Transfer, vol. 50, no. 15-16, pp. 3152–3162, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  3. M. M. M. Abdou, “Effect of radiation with temperature dependent viscosity and thermal conductivity on unsteady a stretching sheet through porous media,” Nonlinear Analysis, vol. 15, no. 3, pp. 257–270, 2010. View at Google Scholar · View at Scopus
  4. S. Munawar, A. Mehmood, and A. Ali, “Effects of slip on flow between stretchable disks using optical homotopy analysis method,” Canadian Journal of Pure and Applied Sciences, vol. 1, no. 2, pp. 50–67, 2011. View at Google Scholar
  5. T. Hayat, S. A. Shehzad, M. Qasim, and S. Obaidat, “Flow of a second grade fluid with convective boundary conditions,” Thermal Science, vol. 15, no. 2, pp. S253–S261, 2011. View at Google Scholar
  6. S. Shateyi and S. S. Motsa, “Variable viscosity on magnetohydrodynamic fluid flow and heat transfer over an unsteady stretching surface with Hall effect,” Boundary Value Problems, vol. 2010, Article ID 257568, 20 pages, 2010. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. O. D. Makinde and P. Sibanda, “Effects of chemical reaction on boundary layer flow past a vertical stretching surface in the presence of internal heat generation,” International Journal of Numerical Methods for Heat and Fluid Flow, vol. 21, no. 6, pp. 779–792, 2011. View at Publisher · View at Google Scholar · View at Scopus
  8. M. Ashraf and K. Batool, “MHD flow and heat transfer of a micropolar fluid over a stretchable disk,” Journal of Theoretcal and Applied Mechanics, vol. 51, no. 1, pp. 25–38, 2013. View at Google Scholar
  9. K. Hiemenz, “Die Grenzschicht in Einem in Dem Gleichformingen Flussigkeitsstrom Eingetauchten Gerade Kreiszlinder,” Dingler Polytech Journal, vol. 326, pp. 321–410, 1911. View at Google Scholar
  10. S. S. Motsa, Y. Khan, and S. Shateyi, “A new numerical solution of Maxwell fluid over a shrinking sheet in the region of a stagnation point,” Mathematical Problems in Engineering, vol. 2012, Article ID 290615, 11 pages, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  11. K. Bhattacharyya, S. Mukhopadhyay, and G. C. Layek, “Slip effects on boundary layer stagnation-point flow and heat transfer towards a shrinking sheet,” International Journal of Heat and Mass Transfer, vol. 54, no. 1–3, pp. 308–313, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  12. O. D. Makinde and W. M. Charles, “Computational dynamics of hydromagnetic stagnation flow towards a stretching sheet,” Applied and Computational Mathematics, vol. 9, no. 2, pp. 243–251, 2010. View at Google Scholar · View at MathSciNet
  13. S. Nadeem, M. Hussain, and M. Naz, “MHD stagnation flow of a micropolar fluid through a porous medium,” Meccanica, vol. 45, no. 6, pp. 869–880, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  14. O. D. Makinde, “Heat and mass transfer by MHD mixed convection stagnation point flow toward a vertical plate embedded in a highly porous medium with radiation and internal heat generation,” Meccanica, vol. 47, no. 5, pp. 1173–1184, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  15. S. P. Devi, D. Anjali, and R. Uma, “Effects of thermal radiation on hydromagnetic flow dueto a porous rotating disk with hall effect,” Journal of Applied Fluid Mechanics, vol. 5, no. 2, pp. 1–8, 2012. View at Google Scholar
  16. T. R. Mahapatra and S. K. Nandy, “Momentum and heat transfer in MHD axisymmetric stagnation-point flow over a shrinking sheet,” Journal of Applied Fluid Mechanics, vol. 6, no. 1, pp. 121–129, 2013. View at Google Scholar
  17. A. J. Chamkha and S. E. Ahmed, “Similarity solution for unsteady MHD flow near a stagnation point of a three-dimensional porous body with heat and mass transfer, heat generation/absorption and chemical reaction,” Journal of Applied Fluid Mechanics, vol. 4, no. 3, pp. 87–94, 2011. View at Google Scholar · View at Scopus
  18. S. S. Motsa and S. Shateyi, “A new approach for the solution of three-dimensional magnetohydrodynamic rotating flow over a shrinking sheet,” Mathematical Problems in Engineering, vol. 2010, Article ID 586340, 15 pages, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  19. O. D. Makinde and A. Aziz, “Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition,” International Journal of Thermal Sciences, vol. 50, no. 7, pp. 1326–1332, 2011. View at Publisher · View at Google Scholar · View at Scopus
  20. A. S. Butt and A. Ali, “Effects of magnetic field on entropy generation in flow and heat transfer to a radially stretching surface,” Chinese Physics Letters, vol. 30, no. 2, pp. 1–5, 2013. View at Google Scholar
  21. O. D. Makinde, W. A. Khan, and Z. H. Khan, “Buoyancy effects on MHD stagnation point flowand heat transfer of ananofluidpast aconvectively heated stretching/shrinking sheet,” International Journal of Heat and Mass Transfer, vol. 62, pp. 526–533, 2013. View at Publisher · View at Google Scholar
  22. W. Ibrahim, B. Shankar, and M. M. Nandeppanavar, “MHD stagnation point flow and heat transfer due to nanofluid towards a stretching sheet,” International Journal of Heat and Mass Transfer, vol. 56, pp. 1–9, 2013. View at Publisher · View at Google Scholar
  23. S. S. Motsa, P. G. Dlamini, and M. Khumalo, “Solving hyperchaotic systems using the spectral relaxation method,” Abstract and Applied Analysis, vol. 2012, Article ID 203461, 18 pages, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  24. S. S. Motsa, P. Dlamini, and M. Khumalo, “A new multistage spectral relaxation method for solving chaotic initial value systems,” Nonlinear Dynamics, vol. 72, no. 1-2, pp. 265–283, 2013. View at Publisher · View at Google Scholar
  25. S. S. Motsa and Z. G. Makukula, “On spectral relaxation method approach for steady von Krmn flow of a Reiner-Rivlin fluid with Joule heating, viscous dissipation and suction/injection,” Central European Journal of Physics, vol. 11, no. 3, pp. 363–374, 2013. View at Publisher · View at Google Scholar
  26. N. A. Abu Bakar, W. M. K. A. W. Zaimi, R. Abdul Hamid, B. Bidin, and A. Ishak, “Boundary lyer flow over a stretching sheet with a convective boundary condition and slip effect,” World Applied Sciences Journal, vol. 17, pp. 49–53, 2012. View at Google Scholar
  27. A. Aziz, “A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition,” Communications in Nonlinear Science and Numerical Simulation, vol. 14, no. 4, pp. 1064–1068, 2009. View at Publisher · View at Google Scholar · View at Scopus
  28. A. Ishak, “Similarity solutions for flow and heat transfer over a permeable surface with convective boundary condition,” Applied Mathematics and Computation, vol. 217, no. 2, pp. 837–842, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  29. C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics, Springer, Berlin, Germany, 1988. View at MathSciNet
  30. L. N. Trefethen, Spectral Methods in MATLAB, SIAM, Philadelphia, Pa, USA, 2000. View at Publisher · View at Google Scholar · View at MathSciNet