Table of Contents
International Journal of Engineering Mathematics
Volume 2014, Article ID 485431, 12 pages
http://dx.doi.org/10.1155/2014/485431
Research Article

Process Parameter Identification in Thin Film Flows Driven by a Stretching Surface

1Department of Mathematics, National Institute of Technology Calicut, Kerala 673601, India
2Department of Mechanical Engineering, University of Canterbury, Private Bag 4800, Christchurch 8140, New Zealand
3Department of Mathematics, University of Ruhuna, 81000 Matara, Sri Lanka

Received 25 January 2014; Revised 10 June 2014; Accepted 12 June 2014; Published 21 July 2014

Academic Editor: Francisco Chinesta

Copyright © 2014 Satyananda Panda 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. B. Wang, “Liquid film on an unsteady stretching surface,” Quarterly of Applied Mathematics, vol. 48, no. 4, pp. 601–610, 1990. View at Google Scholar · View at MathSciNet
  2. H. I. Andersson, J. B. Aarseth, and B. S. Dandapat, “Heat transfer in a liquid film on an unsteady stretching surface,” International Journal of Heat and Mass Transfer, vol. 43, no. 1, pp. 69–74, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  3. I.-C. Liu and H. I. Andersson, “Heat transfer in a liquid film on an unsteady stretching sheet,” International Journal of Thermal Sciences, vol. 47, no. 6, pp. 766–772, 2008. View at Publisher · View at Google Scholar · View at Scopus
  4. B. S. Dandapat, B. Santra, and H. I. Andersson, “Thermocapillarity in a liquid film on an unsteady stretching surface,” International Journal of Heat and Mass Transfer, vol. 46, no. 16, pp. 3009–3015, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  5. B. S. Dandapat, B. Santra, and K. Vajravelu, “The effects of variable fluid properties and thermocapillarity on the flow of a thin film on an unsteady stretching sheet,” International Journal of Heat and Mass Transfer, vol. 50, no. 5-6, pp. 991–996, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  6. N. F. M. Noor and I. Hashim, “Thermocapillarity and magnetic field effects in a thin liquid film on an unsteady stretching surface,” International Journal of Heat and Mass Transfer, vol. 53, no. 9-10, pp. 2044–2051, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  7. R. C. Aziz and I. Hashim, “Liquid film on unsteady stretching sheet with general surface temperature and viscous dissipation,” Chinese Physics Letters, vol. 27, no. 11, Article ID 110202, 2010. View at Publisher · View at Google Scholar · View at Scopus
  8. Y. Khan, Q. Wu, N. Faraz, and A. Yildirim, “The effects of variable viscosity and thermal conductivity on a thin film flow over a shrinking/stretching sheet,” Computers & Mathematics with Applications, vol. 61, no. 11, pp. 3391–3399, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. H. I. Andersson, J. B. Aarseth, N. Braud, and B. S. Dandapat, “Flow of a power-law fluid film on an unsteady stretching surface,” Journal of Non-Newtonian Fluid Mechanics, vol. 62, no. 1, pp. 1–8, 1996. View at Publisher · View at Google Scholar · View at Scopus
  10. B. S. Dandapat, A. Kitamura, and B. Santra, “Transient film profile of thin liquid film flow on a stretching surface,” Zeitschrift für angewandte Mathematik und Physik ZAMP, vol. 57, no. 4, pp. 623–635, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. B. S. Dandapat and S. Maity, “Flow of a thin liquid film on an unsteady stretching sheet,” Physics of Fluids, vol. 18, no. 10, Article ID 102101, 7 pages, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. B. Santra and B. S. Dandapat, “Unsteady thin-film flow over a heated stretching sheet,” International Journal of Heat and Mass Transfer, vol. 52, pp. 1965–1970, 2009. View at Publisher · View at Google Scholar
  13. M. Sellier, “Substrate design or reconstruction from free surface data for thin film flows,” Physics of Fluids, vol. 20, no. 6, Article ID 062106, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  14. M. Sellier and S. Panda, “Surface temperature reconstruction based on the thermocapillary effect,” The ANZIAM Journal, vol. 52, no. 2, pp. 146–159, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  15. M. Sellier and S. Panda, “Inverse temperature reconstruction in thermocapillary-driven thin liquid films,” International Journal of Numerical Analysis and Modeling B, vol. 3, no. 3, pp. 285–296, 2012. View at Google Scholar · View at MathSciNet
  16. O. Pironneau, Optimal Shape Design for Elliptic Systems, Springer, New York, NY, USA, 1984. View at Publisher · View at Google Scholar · View at MathSciNet
  17. Y. Ha, Y.-J. Kim, and T. G. Myers, “On the numerical solution of a driven thin film equation,” Journal of Computational Physics, vol. 227, no. 15, pp. 7246–7263, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. The MathWorks Inc., MATLAB R2011b Documentation, The MathWorks Inc., 2011.