Table of Contents
SRX Physics
Volume 2010, Article ID 736039, 9 pages
http://dx.doi.org/10.3814/2010/736039
Research Article

Mixed Convection Boundary Layer Flow from a Solid Sphere with Newtonian Heating in a Micropolar Fluid

1Faculty of Industrial Science and Technology, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 UMP Kuantan, Pahang, Malaysia
2School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
3Faculty of Mathematics, University of Cluj, CP 253 3400 Cluj, Romania

Received 27 September 2009; Revised 2 December 2009; Accepted 28 December 2009

Copyright © 2010 M. Z. Salleh et al. 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. A. C. Eringen, “Theory of micropolar fluids,” Journal of Mathematics & Mechanics, vol. 16, pp. 1–18, 1966. View at Google Scholar
  2. T. Ariman, M. A. Turk, and N. D. Sylvester, “Applications of microcontinuum fluid mechanics,” International Journal of Engineering Science, vol. 12, no. 4, pp. 273–293, 1974. View at Google Scholar
  3. D. A. S. Rees and A. P. Bassom, “The Blasius boundary-layer flow of a micropolar fluid,” International Journal of Engineering Science, vol. 34, no. 1, pp. 113–124, 1996. View at Publisher · View at Google Scholar
  4. I. Pop, H. S. Takhar, and M. Kumari, “Free convection about a vertical wavy surface with prescribed surface heat flux in a micropolar fluid,” Technische Mechanik, vol. 18, pp. 229–237, 1998. View at Google Scholar
  5. R. Nazar, N. Amin, and I. Pop, “Free convection boundary layer on an isothermal horizontal circular cylinder in a micropolar fluid,” in Proceedings of the 12th International Heat Transfer Conference, vol. 2, pp. 525–530, Elsevier, Paris, France, August 2002.
  6. R. Nazar, N. Amin, and I. Pop, “Mixed convection boundary layer flow from a sphere with constant surface heat flux in a micropolar fluid,” Journal of Energy, Heat and Mass Transfer, vol. 29, no. 8, pp. 1129–1138, 2002. View at Google Scholar
  7. R. Nazar, N. Amin, and I. Pop, “On the mixed convection boundary-layer flow about a solid sphere with constant surface temperature,” The Arabian Journal for Science and Engineering, vol. 27, no. 2C, pp. 117–135, 2002. View at Google Scholar
  8. R. Nazar, N. Amin, and I. Pop, “Mixed convection boundary layer flow about an isothermal sphere in a micropolar fluid,” International Journal of Thermal Sciences, vol. 42, no. 3, pp. 283–293, 2003. View at Publisher · View at Google Scholar
  9. J. H. Merkin and I. Pop, “Conjugate free convection on a vertical surface,” International Journal of Heat and Mass Transfer, vol. 39, no. 7, pp. 1527–1534, 1996. View at Publisher · View at Google Scholar
  10. J. H. Merkin, “Natural-convection boundary-layer flow on a vertical surface with Newtonian heating,” International Journal of Heat and Fluid Flow, vol. 15, no. 5, pp. 392–398, 1994. View at Google Scholar
  11. D. Lesnic, D. B. Ingham, and I. Pop, “Free convection boundary-layer flow along a vertical surface in a porous medium with Newtonian heating,” International Journal of Heat and Mass Transfer, vol. 42, no. 14, pp. 2621–2627, 1999. View at Publisher · View at Google Scholar
  12. D. Lesnic, D. B. Ingham, and I. Pop, “Free convection from a horizontal surface in a porous medium with Newtonian heating,” Journal of Porous Media, vol. 3, no. 3, pp. 227–235, 2000. View at Google Scholar
  13. D. Lesnic, D. B. Ingham, I. Pop, and C. Storr, “Free convection boundary-layer flow above a nearly horizontal surface in a porous medium with Newtonian heating,” Heat and Mass Transfer, vol. 40, no. 9, pp. 665–672, 2004. View at Google Scholar
  14. I. Pop, D. Lesnic, and D. B. Ingham, “Asymptotic solutions for the free convection boundary-layer flow along a vertical surface in a porous medium with Newtonian heating,” Hybrid Methods in Engineering, vol. 2, pp. 31–40, 2000. View at Google Scholar
  15. R. C. Chaudhary and P. Jain, “Unsteady free convection boundary-layer flow past an impulsively started vertical surface with Newtonian heating,” Romanian Journal of Physics, vol. 9, pp. 911–925, 2006. View at Google Scholar
  16. R. C. Chaudhary and P. Jain, “An exact solution to the unsteady free-convection boundary-layer flow past an impulsively started vertical surface with Newtonian heating,” Journal of Engineering Physics and Thermophysics, vol. 80, no. 5, pp. 954–960, 2007. View at Publisher · View at Google Scholar
  17. M. Z. Salleh, R. Nazar, and K. Ibrahim, “Mixed convection boundary layer flow near the lower stagnation point of a solid sphere with Newtonian heating,” in Proceedings of the 7th WSEAS International Conference on System Science and Simulation in Engineering (ICOSSE '08), pp. 291–298, Venice, Italy, November 2008.
  18. M. Z. Salleh, R. Nazar, and I. Pop, “Forced convection boundary layer flow at a forward stagnation point with Newtonian heating,” Chemical Engineering Communications, vol. 196, no. 9, pp. 987–996, 2009. View at Publisher · View at Google Scholar
  19. T. Y. Na, Computational Methods in Engineering Boundary Value Problem, Academic Press, New York, NY, USA, 1979.
  20. T. Cebeci and P. Bradshaw, Physical and Computational Aspects of Convective Heat Transfer, Springer, New York, NY, USA, 1988.
  21. S. K. Jena and M. N. Mathur, “Similarity solutions for laminar free convection flow of a thermomicropolar fluid past a non-isothermal vertical flat plate,” International Journal of Engineering Science, vol. 19, no. 11, pp. 1431–1439, 1981. View at Google Scholar
  22. G. S. Guram and A. C. Smith, “Stagnation flows of micropolar fluids with strong and weak interactions,” Computers and Mathematics with Applications, vol. 6, no. 2, pp. 213–233, 1980. View at Google Scholar
  23. G. Ahmadi, “Self-similar solution of imcompressible micropolar boundary layer flow over a semi-infinite plate,” International Journal of Engineering Science, vol. 14, no. 7, pp. 639–646, 1976. View at Google Scholar
  24. J. Peddieson Jr., “An application of the micropolar fluid model to the calculation of a turbulent shear flow,” International Journal of Engineering Science, vol. 10, no. 1, pp. 23–32, 1972. View at Google Scholar
  25. M. Z. Salleh, S. Ahmad, and R. Nazar, “Numerical solutions of the forced convection boundary layer flow at a forward stagnation point,” European Journal of Scientific Research, vol. 19, no. 4, pp. 644–653, 2008. View at Google Scholar