Table of Contents
Journal of Fluids
Volume 2013 (2013), Article ID 749271, 8 pages
http://dx.doi.org/10.1155/2013/749271
Research Article

Thermal Jump Effects on Boundary Layer Flow of a Jeffrey Fluid Near the Stagnation Point on a Stretching/Shrinking Sheet with Variable Thermal Conductivity

1Mathematics Department, Faculty of Science, Assiut University, Assiut 71516, Egypt
2Department of Engineering Sciences, PN Engineering College, National University of Science, Pakistan

Received 27 June 2013; Accepted 29 October 2013

Academic Editor: Boming Yu

Copyright © 2013 M. A. A. Hamad 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. T. C. Chiam, “Heat transfer with variable conductivity in a stagnation-point flow towards a stretching sheet,” International Communications in Heat and Mass Transfer, vol. 23, no. 2, pp. 239–248, 1996. View at Publisher · View at Google Scholar · View at Scopus
  2. T. C. Chiam, “Heat transfer in a fluid with variable thermal conductivity over a linearly stretching sheet,” Acta Mechanica, vol. 129, no. 1-2, pp. 63–72, 1998. View at Google Scholar · View at Scopus
  3. P. S. Datti, K. V. Prasad, M. S. Abel, and A. Joshi, “MHD visco-elastic fluid flow over a non-isothermal stretching sheet,” International Journal of Engineering Science, vol. 42, no. 8-9, pp. 935–946, 2004. View at Publisher · View at Google Scholar · View at Scopus
  4. K. V. Prasad, M. S. Abel, and S. K. Khan, “Momentum and heat transfer in visco-elastic fluid flow in a porous medium over a non-isothermal stretching sheet,” International Journal of Numerical Methods for Heat and Fluid Flow, vol. 10, no. 8, pp. 786–801, 2000. View at Publisher · View at Google Scholar · View at Scopus
  5. M. S. Abel, K. V. Prasad, and A. Mahaboob, “Buoyancy force and thermal radiation effects in MHD boundary layer visco-elastic fluid flow over continuously moving stretching surface,” International Journal of Thermal Sciences, vol. 44, no. 5, pp. 465–476, 2005. View at Publisher · View at Google Scholar · View at Scopus
  6. K. V. Prasad and K. Vajravelu, “Heat transfer in the MHD flow of a power law fluid over a non-isothermal stretching sheet,” International Journal of Heat and Mass Transfer, vol. 52, no. 21-22, pp. 4956–4965, 2009. View at Publisher · View at Google Scholar · View at Scopus
  7. M. S. Abel, P. G. Siddheshwar, and N. Mahesha, “Effects of thermal buoyancy and variable thermal conductivity on the MHD flow and heat transfer in a power-law fluid past a vertical stretching sheet in the presence of a non-uniform heat source,” International Journal of Non-Linear Mechanics, vol. 44, no. 1, pp. 1–12, 2009. View at Publisher · View at Google Scholar · View at Scopus
  8. M. A. Seddeek, S. N. Odda, and M. S. Abdelmeguid, “Numerical study for the effects of thermophoresis and variable thermal conductivity on heat and mass transfer over an accelerating surface with heat source,” Computational Materials Science, vol. 47, no. 1, pp. 93–98, 2009. View at Publisher · View at Google Scholar · View at Scopus
  9. K. V. Prasad, D. Pal, V. Umesh, and N. S. P. Rao, “The effect of variable viscosity on MHD viscoelastic fluid flow and heat transfer over a stretching sheet,” Communications in Nonlinear Science and Numerical Simulation, vol. 15, no. 2, pp. 331–344, 2010. View at Publisher · View at Google Scholar · View at Scopus
  10. M. S. Abel, P. G. Siddheshwar, and N. Mahesha, “Numerical solution of the momentum and heat transfer equations for a hydromagnetic flow due to a stretching sheet of a non-uniform property micropolar liquid,” Applied Mathematics and Computation, vol. 217, no. 12, pp. 5895–5909, 2011. View at Publisher · View at Google Scholar · View at Scopus
  11. N. C. Mahanti and P. Gaur, “Effects of varying viscosity and thermal conductivity on steady free convective flow and heat transfer along an isothermal vertical plate in the presence of heat sink,” Journal of Applied Fluid Mechanics, vol. 2, no. 1, pp. 23–28, 2009. View at Google Scholar · View at Scopus
  12. R. G. Deissler, “An analysis of second-order slip flow and temperature-jump boundary conditions for rarefied gases,” International Journal of Heat and Mass Transfer, vol. 7, no. 6, pp. 681–694, 1964. View at Google Scholar · View at Scopus
  13. M. M. Rahman and I. A. Eltayeb, “Convective slip flow of rarefied fluids over a wedge with thermal jump and variable transport properties,” International Journal of Thermal Sciences, vol. 50, no. 4, pp. 468–479, 2011. View at Publisher · View at Google Scholar · View at Scopus
  14. J. W. Cipolla Jr., “Heat transfer and temperature jump in a polyatomic gas,” International Journal of Heat and Mass Transfer, vol. 14, no. 10, pp. 1599–1610, 1971. View at Google Scholar · View at Scopus
  15. T.-T. Kao, “Laminar free convective heat transfer response along a vertical flat plate with step jump in surface temperature,” Letters in Heat and Mass Transfer, vol. 2, no. 5, pp. 419–428, 1975. View at Google Scholar · View at Scopus
  16. A. V. Latyshev and A. A. Yushkanov, “An analytic solution of the problem of the temperature jumps and vapour density over a surface when there is a temperature gradient,” Journal of Applied Mathematics and Mechanics, vol. 58, no. 2, pp. 259–265, 1994. View at Google Scholar · View at Scopus
  17. M. Turkyilmazoglu and I. Pop, “Exact analytical solution for the flow and heat transfer near the stagnation point on a stretching/shrinking sheet in a Jeffrey fluid,” International Journal of Heat and Mass Transfer, vol. 57, no. 1, pp. 82–88, 2013. View at Publisher · View at Google Scholar
  18. S. Akram and S. Nadeem, “Influence of induced magnetic field and heat transfer on the peristaltic motion of Jeffrey fluid in an asymmetric channel: closed form solutions,” Journal of Magnetism and Magnetic Materials, vol. 328, pp. 11–20, 2013. View at Publisher · View at Google Scholar
  19. C. E. Siewert and D. Valougeorgis, “The temperature-jump problem for a mixture of two gases,” Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 70, no. 3, pp. 307–319, 2001. View at Publisher · View at Google Scholar · View at Scopus
  20. S. Nadeem, A. Hussain, and M. Khan, “Stagnation flow of a Jeffrey fluid over a shrinking sheet,” Zeitschrift fur Naturforschung A, vol. 65, no. 6-7, pp. 540–548, 2010. View at Google Scholar · View at Scopus
  21. S. K. Pandey and D. Tripathi, “Unsteady model of transportation of Jeffrey-fluid by peristalsis,” International Journal of Biomathematics, vol. 3, no. 4, pp. 473–491, 2010. View at Publisher · View at Google Scholar · View at Scopus
  22. T. Hayat, M. Awais, S. Asghar, and A. A. Hendi, “Analytic solution for the magnetohydrodynamic rotating flow of Jeffrey fluid in a channel,” Journal of Fluids Engineering, vol. 133, no. 6, Article ID 061201, 2011. View at Publisher · View at Google Scholar · View at Scopus
  23. S. K. Pandey and D. Tripathi, “Influence of magnetic field on the peristaltic flow of a viscous fluid through a finite-length cylindrical tube,” Applied Bionics and Biomechanics, vol. 7, no. 3, pp. 169–176, 2010. View at Publisher · View at Google Scholar · View at Scopus
  24. S. K. Pandey and D. Tripathi, “Effects of non-integral number of peristaltic waves transporting couple stress fluids in finite length channels,” Zeitschrift fur Naturforschung A, vol. 66, no. 3-4, pp. 172–180, 2011. View at Google Scholar · View at Scopus
  25. S. K. Pandey and D. Tripathi, “Unsteady peristaltic flow of micro-polar fluid in a finite channel,” Zeitschrift fur Naturforschung A, vol. 66, no. 3-4, pp. 181–192, 2011. View at Google Scholar · View at Scopus
  26. D. Tripathi, “A mathematical model for the peristaltic flow of chyme movement in small intestine,” Mathematical Biosciences, vol. 233, no. 2, pp. 90–97, 2011. View at Publisher · View at Google Scholar · View at Scopus
  27. 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
  28. 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 Scopus
  29. T. Hayat, N. Ali, and S. Asghar, “An analysis of peristaltic transport for flow of a Jeffrey fluid,” Acta Mechanica, vol. 193, no. 1-2, pp. 101–112, 2007. View at Publisher · View at Google Scholar · View at Scopus
  30. S. Nadeem, S. Zaheer, and T. Fang, “Effects of thermal radiation on the boundary layer flow of a Jeffrey fluid over an exponentially stretching surface,” Numerical Algorithms, vol. 57, no. 2, pp. 187–205, 2011. View at Publisher · View at Google Scholar · View at Scopus
  31. 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
  32. M. A. A. Hamad and I. Pop, “Scaling Transformations for Boundary Layer Flow near the Stagnation-Point on a Heated Permeable Stretching Surface in a Porous Medium Saturated with a Nanofluid and Heat Generation/Absorption Effects,” Transport in Porous Media, vol. 87, no. 1, pp. 25–39, 2011. View at Publisher · View at Google Scholar · View at Scopus
  33. R. Nazar, N. Amin, D. Filip, and I. Pop, “Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet,” International Journal of Engineering Science, vol. 42, no. 11-12, pp. 1241–1253, 2004. View at Publisher · View at Google Scholar · View at Scopus