Table of Contents Author Guidelines Submit a Manuscript
Journal of Mathematics
Volume 2016, Article ID 1350578, 8 pages
http://dx.doi.org/10.1155/2016/1350578
Research Article

Mathematical Analysis of a Reactive Viscous Flow through a Channel Filled with a Porous Medium

1Department of Mathematical Sciences, Redeemer’s University, Ede, Nigeria
2Department of Physical Sciences, Redeemer’s University, Ede, Nigeria

Received 19 July 2016; Accepted 14 November 2016

Academic Editor: Ghulam Shabbir

Copyright © 2016 Samuel O. Adesanya 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. Bejan, “Second law analysis in heat transfer,” Energy, vol. 5, no. 8-9, pp. 720–732, 1980. View at Publisher · View at Google Scholar
  2. I. T. Al-Zaharnah and B. S. Yilbas, “Thermal analysis in pipe flow: influence of variable viscosity on entropy generation,” Entropy, vol. 6, no. 3, pp. 344–363, 2004. View at Publisher · View at Google Scholar · View at Scopus
  3. O. M. Haddad, M. K. Alkam, and M. T. Khasawneh, “Entropy generation due to laminar forced convection in the entrance region of a concentric annulus,” Energy, vol. 29, no. 1, pp. 35–55, 2004. View at Publisher · View at Google Scholar · View at Scopus
  4. A. Kahraman and M. Yürüsoy, “Entropy generation due to non-newtonian fluid flow in annular pipe with relative rotation: constant viscosity case,” Journal of Theoretical and Applied Mechanics, vol. 46, no. 1, pp. 69–83, 2008. View at Google Scholar · View at Scopus
  5. Y. Aksoy, “Effects of couple stresses on the heat transfer and entropy generation rates for a flow between parallel plates with constant heat flux,” International Journal of Thermal Sciences, vol. 107, pp. 1–12, 2016. View at Publisher · View at Google Scholar
  6. T. W. Ting, Y. M. Hung, and N. Guo, “Entropy generation of viscous dissipative nanofluid flow in thermal non-equilibrium porous media embedded in microchannels,” International Journal of Heat and Mass Transfer, vol. 81, pp. 862–877, 2015. View at Publisher · View at Google Scholar · View at Scopus
  7. W. A. Khan and R. S. R. Gorla, “Second law analysis for free convection in non-Newtonian fluids over a horizontal plate embedded in a porous medium: (prescribed heat flux),” Brazilian Journal of Chemical Engineering, vol. 29, no. 3, pp. 511–518, 2012. View at Publisher · View at Google Scholar · View at Scopus
  8. R. Revellin, S. Lips, S. Khandekar, and J. Bonjour, “Local entropy generation for saturated two-phase flow,” Energy, vol. 34, no. 9, pp. 1113–1121, 2009. View at Publisher · View at Google Scholar · View at Scopus
  9. F. Hedayati, A. Malvandi, and D. D. Ganji, “Second-law analysis of fluid flow over an isothermal moving wedge,” Alexandria Engineering Journal, vol. 53, no. 1, pp. 1–9, 2014. View at Publisher · View at Google Scholar · View at Scopus
  10. A. S. Butt and A. Ali, “Effects of magnetic field on entropy generation in flow and heat transfer due to a radially stretching surface,” Chinese Physics Letters, vol. 30, no. 2, Article ID 024701, 2013. View at Publisher · View at Google Scholar · View at Scopus
  11. S. O. Adesanya and O. D. Makinde, “Thermodynamic analysis for a third grade fluid through a vertical channel with internal heat generation,” Journal of Hydrodynamics, vol. 27, no. 2, pp. 264–272, 2015. View at Publisher · View at Google Scholar · View at Scopus
  12. S. O. Adesanya and O. D. Makinde, “Entropy generation in couple stress fluid flow through porous channel with fluid slippage,” International Journal of Exergy, vol. 15, no. 3, pp. 344–362, 2014. View at Publisher · View at Google Scholar · View at Scopus
  13. S. O. Adesanya and O. D. Makinde, “Effects of couple stresses on entropy generation rate in a porous channel with convective heating,” Computational & Applied Mathematics, vol. 34, no. 1, pp. 293–307, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  14. S. Mahmud and R. A. Fraser, “Thermodynamic analysis of flow and heat transfer inside channel with two parallel plates,” Exergy, vol. 2, no. 3, pp. 140–146, 2002. View at Publisher · View at Google Scholar
  15. S. H. Tasnim, M. Shohel, and M. A. H. Mamun, “Entropy generation in a porous channel with hydromagnetic effect,” Exergy, vol. 2, no. 4, pp. 300–308, 2002. View at Publisher · View at Google Scholar
  16. I. Ozkol, G. Komurgoz, and A. Arikoglu, “Entropy generation in laminar natural convection from a constant temperature vertical plate in an infinite fluid,” Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, vol. 221, no. 5, pp. 609–616, 2007. View at Publisher · View at Google Scholar · View at Scopus
  17. S. O. Adesanya and O. D. Makinde, “Irreversibility analysis in a couple stress film flow along an inclined heated plate with adiabatic free surface,” Physica A, vol. 432, pp. 222–229, 2015. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. J. Srinivas, J. R. Murthy, and A. J. Chamkha, “Analysis of entropy generation in an inclined channel flow containing two immiscible micropolar fluids using HAM,” International Journal of Numerical Methods for Heat & Fluid Flow, vol. 26, no. 3-4, pp. 1027–1049, 2016. View at Publisher · View at Google Scholar
  19. J. Srinivas and J. V. Ramana Murthy, “Second law analysis of the flow of two immiscible micropolar fluids between two porous beds,” Journal of Engineering Thermophysics, vol. 25, no. 1, pp. 126–142, 2016. View at Publisher · View at Google Scholar · View at Scopus
  20. O. D. Makinde, T. Chinyoka, and L. Rundora, “Unsteady flow of a reactive variable viscosity non-Newtonian fluid through a porous saturated medium with asymmetric convective boundary conditions,” Computers & Mathematics with Applications, vol. 62, no. 9, pp. 3343–3352, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  21. L. Rundora and O. D. Makinde, “Effects of suction/injection on unsteady reactive variable viscosity non-Newtonian fluid flow in a channel filled with porous medium and convective boundary conditions,” Journal of Petroleum Science and Engineering, vol. 108, pp. 328–335, 2013. View at Publisher · View at Google Scholar · View at Scopus
  22. L. Rundora and O. D. Makinde, “Effects of Navier slip on unsteady flow of a reactive variable viscosity non-Newtonian fluid through a porous saturated medium with asymmetric convective boundary conditions,” Journal of Hydrodynamics, vol. 27, no. 6, pp. 934–944, 2015. View at Publisher · View at Google Scholar · View at Scopus
  23. O. A. Bég, H. S. Takhar, R. Bhargava, S. Rawat, and V. R. Prasad, “Numerical study of heat transfer of a third grade viscoelastic fluid in non-Darcy porous media with thermophysical effects,” Physica Scripta, vol. 77, no. 6, Article ID 065402, 2008. View at Publisher · View at Google Scholar · View at Scopus
  24. O. D. Makinde, “Thermal ignition in a reactive viscous flow through a channel filled with a porous medium,” Journal of Heat Transfer, vol. 128, no. 6, pp. 601–604, 2006. View at Publisher · View at Google Scholar · View at Scopus
  25. R. Rach, “A bibliography of the theory and applications of the Adomian decomposition method, 1961–2011,” Kybernetes, vol. 41, no. 7-8, pp. 1087–1153, 2012. View at Google Scholar · View at MathSciNet
  26. G. Adomian and R. Rach, “Modified decomposition solution of nonlinear partial differential equations,” Applied Mathematics Letters, vol. 5, no. 6, pp. 29–30, 1992. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  27. G. Adomian and R. Rach, “Analytic solution of nonlinear boundary value problems in several dimensions by decomposition,” Journal of Mathematical Analysis and Applications, vol. 174, no. 1, pp. 118–137, 1993. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  28. M. Sheikholeslami, D. D. Ganji, H. R. Ashorynejad, and H. B. Rokni, “Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method,” Applied Mathematics and Mechanics, vol. 33, no. 1, pp. 25–36, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  29. M. R. Mohyuddin, “Resonance and viscoelastic poiseuille flow in a porous medium,” Journal of Porous Media, vol. 9, no. 8, pp. 799–806, 2006. View at Publisher · View at Google Scholar · View at Scopus
  30. M. R. Mohyuddin, “MHD flow and heat transfer for second grade fluid in a porous medium with modified darcy's,” International Journal of Fluid Mechanics Research, vol. 34, no. 5, pp. 462–474, 2007. View at Publisher · View at Google Scholar · View at Scopus
  31. S. Asghar, M. R. Mohyuddin, and T. Hayat, “Effects of Hall current and heat transfer on flow due to a pull of eccentric rotating disks,” International Journal of Heat and Mass Transfer, vol. 48, no. 3-4, pp. 599–607, 2005. View at Publisher · View at Google Scholar · View at Scopus