Table of Contents Author Guidelines Submit a Manuscript
Abstract and Applied Analysis
Volume 2015, Article ID 327975, 7 pages
http://dx.doi.org/10.1155/2015/327975
Research Article

Influence of Slip Condition on Unsteady Free Convection Flow of Viscous Fluid with Ramped Wall Temperature

1Department of Mathematics, City University of Science and Information Technology, Peshawar 25000, Pakistan
2Department of Basic Sciences, College of Engineering Majmaah University, P.O. Box 66, Majmaah 11952, Saudi Arabia
3Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia (UTM), 81310 Skudai, Malaysia
4Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef 62514, Egypt

Received 27 June 2014; Revised 16 November 2014; Accepted 24 November 2014

Academic Editor: Saeed Islam

Copyright © 2015 Sami Ul Haq 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. R. Siegel, “Transient free convection from a vertical flat plate,” Transactions of the American Society of Mechanical Engineers, vol. 80, pp. 347–359, 1958. View at Google Scholar
  2. J. A. Schetz, “On the approximate solution of viscous flow problems,” ASME Journal of Applied Mechanics, vol. 30, pp. 263–268, 1963. View at Publisher · View at Google Scholar
  3. A. A. Hayday, D. A. Bowlus, and R. A. McGraw, “Free convection from a vertical flat plate with step discontinuities in surface temperature,” Journal of Heat Transfer, vol. 89, no. 3, pp. 244–249, 1967. View at Google Scholar
  4. C. P. Malhotra, R. L. Mahajan, W. S. Sampath, K. L. Barth, and R. A. Enzenroth, “Control of temperature uniformity during the manufacture of stable thin-film photovoltaic devices,” International Journal of Heat and Mass Transfer, vol. 49, no. 17-18, pp. 2840–2850, 2006. View at Publisher · View at Google Scholar · View at Scopus
  5. K. A. Antonopoulos and F. Democritou, “Experimental and numerical study of unsteady non-periodic wall heat transfer under step, ramp and cosine temperature perturbations,” International Journal of Energy Research, vol. 18, no. 6, pp. 563–579, 1994. View at Publisher · View at Google Scholar · View at Scopus
  6. P. Chandran, N. C. Sacheti, and A. K. Singh, “Natural convection near a vertical plate with ramped wall temperature,” Heat and Mass Transfer, vol. 41, no. 5, pp. 459–464, 2005. View at Publisher · View at Google Scholar · View at Scopus
  7. G. S. Seth, M. S. Ansari, and R. Nandkeolyar, “MHD natural convection flow with radiative heat transfer past an impulsively moving plate with ramped wall temperature,” Heat and Mass Transfer, vol. 47, no. 5, pp. 551–561, 2011. View at Publisher · View at Google Scholar · View at Scopus
  8. M. Narahari, O. A. Bég, and S. K. Ghosh, “Mathematical modelling of mass transfer and free convection current effects on unsteady viscous flow with ramped wall temperature,” World Journal of Mechanics, vol. 1, no. 4, pp. 176–184, 2011. View at Google Scholar
  9. D. C. Tretheway and C. D. Meinhart, “Apparent fluid slip at hydrophobic microchannel walls,” Physics of Fluids, vol. 14, no. 3, pp. L9–L12, 2002. View at Publisher · View at Google Scholar · View at Scopus
  10. O. D. Makinde and E. Osausi, “MHD steady flow in a channel with slip at the permeable boundaries,” Romanian Journal of Physics, vol. 51, pp. 319–328, 2006. View at Google Scholar
  11. O. D. Makinde and P. Y. Mhone, “Heat transfer to MHD oscillatory flow in a channel Ölled with porous medium,” Romanian Journal of Physics, vol. 50, pp. 931–938, 2005. View at Google Scholar
  12. A. Mehmood and A. Ali, “The effect of slip condition on unsteady MHD oscillatory flow of a viscous fluid in a planer channel,” Romanian Journal of Physics, vol. 52, pp. 85–92, 2007. View at Google Scholar
  13. A. M. Rohni, S. Ahmad, I. Pop, and J. H. Merkin, “Unsteady mixed convection boundary-layer flow with suction and temperature slip effects near the stagnation point on a vertical permeable surface embedded in a porous medium,” Transport in Porous Media, vol. 92, no. 1, pp. 1–14, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. T. Hayat, S. A. Shehzad, and M. Qasim, “Slip effects on the unsteady stagnation point flow with variable free stream,” Walailak Journal of Science and Technology, vol. 10, no. 4, pp. 385–394, 2013. View at Google Scholar · View at Scopus
  15. M. Qasim, Z. H. Khan, W. A. Khan, and I. Ali Shah, “MHD boundary layer slip flow and heat transfer of ferrofluid along a stretching cylinder with prescribed heat flux,” PLoS ONE, vol. 9, no. 1, Article ID e83930, 2014. View at Publisher · View at Google Scholar · View at Scopus
  16. E. A. Ashmawy, “Fully developed natural convective micropolar fluid flow in a vertical channel with slip,” Journal of the Egyptian Mathematical Society, 2014. View at Publisher · View at Google Scholar