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Advances in Mathematical Physics
Volume 2016, Article ID 9671513, 12 pages
http://dx.doi.org/10.1155/2016/9671513
Research Article

Radiation Effects in Flow through Porous Medium over a Rotating Disk with Variable Fluid Properties

Department of Mathematics & Statistics, Manipal University Jaipur, Jaipur 303007, India

Received 30 June 2016; Revised 3 September 2016; Accepted 15 September 2016

Academic Editor: Ali Cemal Benim

Copyright © 2016 Shalini Jain and Shweta Bohra. 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. Th. V. Kármán, “Uber laminare und turbulente reibun,” Zeitschrift für Angewandte Mathematik und Mechanik, vol. 1, no. 4, pp. 233–252, 1921. View at Publisher · View at Google Scholar
  2. W. G. Cochran, “The flow due to a rotating disk,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 30, no. 3, pp. 365–375, 1934. View at Google Scholar
  3. E. R. Benton, “On the flow due to a rotating disk,” Journal of Fluid Mechanics, vol. 24, no. 4, pp. 781–800, 1966. View at Publisher · View at Google Scholar
  4. M. Turkyilmazoglu, “Purely analytic solutions of the compressible boundary layer flow due to a porous rotating disk with heat transfer,” Physics of Fluids, vol. 21, no. 10, Article ID 106104, 2009. View at Publisher · View at Google Scholar · View at Scopus
  5. D. S. Chauhan and S. Gupta, “Steady flow and heat transfer between two stationary naturally permeable disks,” Journal of Ultra Scientist of Physical Sciences, vol. 12, no. 1, pp. 45–52, 2000. View at Google Scholar
  6. C. Wagner, “Heat transfer from a rotating disk to ambient air,” Journal of Applied Physics, vol. 19, no. 9, pp. 837–839, 1948. View at Publisher · View at Google Scholar · View at Scopus
  7. K. Millsaps and K. Pohlhausen, “Heat transfer by laminar flow from a rotating plate,” Journal of the Aeronautical Sciences, vol. 19, pp. 120–126, 1952. View at Google Scholar · View at MathSciNet
  8. F. Kreith and J. H. Taylor, “Heat transfer from a rotating disk in turbulent flow, no. , 1956.,” ASME Paper 56-A-146, 1956. View at Google Scholar
  9. H.-T. Lin and L.-K. Lin, “Heat transfer from a rotating cone or disk to fluids of any Prandtl number,” International Communications in Heat and Mass Transfer, vol. 14, no. 3, pp. 323–332, 1987. View at Publisher · View at Google Scholar · View at Scopus
  10. P. D. Verma and D. S. Chauhan, “Flow between a torsionally oscillating impermeable disc and a stationary naturally permeable disc,” Indian Journal of Pure and Applied Mathematics, vol. 10, pp. 1351–1361, 1979. View at Google Scholar
  11. D. S. Chauhan and S. Jain, “Steady flow between highly permeable rotating disks,” Indian Journal of Theoretical Physics, vol. 52, no. 1, pp. 39–50, 2004. View at Google Scholar
  12. M. Turkyilmazoglu, “Nanofluid flow and heat transfer due to a rotating disk,” Computers & Fluids, vol. 94, pp. 139–146, 2014. View at Publisher · View at Google Scholar · View at Scopus
  13. M. Turkyilmazoglu, “MHD fluid flow and heat transfer due to a shrinking rotating disk,” Computers & Fluids, vol. 90, pp. 51–56, 2014. View at Publisher · View at Google Scholar · View at Scopus
  14. M. Azimi and R. Riazi, “Heat transfer analysis of GO-water nanofluid flow between two parallel disks,” Propulsion and Power Research, vol. 4, no. 1, pp. 23–30, 2015. View at Google Scholar
  15. B. R. Sharma and H. Konwar, “Effect of chemical reaction on mass transfer due to a permeable rotating heated disk,” International Journal of Computer Applications, vol. 119, no. 21, pp. 5–9, 2015. View at Publisher · View at Google Scholar
  16. H. Shahmohamadi and M. Mohammadpour, “A series solution for three-dimensional navier-stokes equations of flow near an infinite rotating disk,” World Journal of Mechanics, vol. 4, pp. 117–127, 2014. View at Publisher · View at Google Scholar
  17. S. Srinivas, A. S. Reddy, T. R. Ramamohan, and A. K. Shukla, “Thermal-diffusion and diffusion-thermo effects on MHD flow of viscous fluid between expanding or contracting rotating porous disks with viscous dissipation,” Journal of the Egyptian Mathematical Society, vol. 24, no. 1, pp. 100–107, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  18. M. A. Mansour, “Radiative and free-convection effects on the oscillatory flow past a vertical plate,” Astrophysics and Space Science, vol. 166, no. 2, pp. 269–275, 1990. View at Publisher · View at Google Scholar · View at Scopus
  19. M. A. Hossain, M. A. Alim, and D. A. S. Rees, “The effect of radiation on free convection from a porous vertical plate,” International Journal of Heat and Mass Transfer, vol. 42, no. 1, pp. 181–191, 1999. View at Publisher · View at Google Scholar · View at Scopus
  20. A. Raptis and C. Perdikis, “MHD free convection flow by the presence of radiation,” International Journal of Magnetohydrodynamics Plasma and Space Research, vol. 9, pp. 237–252, 2000. View at Google Scholar
  21. M. A. Hossain and H. S. Takhar, “Radiation effect on mixed convection along a vertical plate with uniform surface temperature,” Heat and Mass Transfer, vol. 31, no. 4, pp. 243–248, 1996. View at Publisher · View at Google Scholar · View at Scopus
  22. A. Devi and R. U. Devi, “Effects of thermal radiation on hydromagnetic flow due to a porous rotating disk with hall effect,” Journal of Applied Fluid Mechanics, vol. 5, no. 2, pp. 1–7, 2012. View at Google Scholar · View at Scopus
  23. C. Y. Wang, “Flow due to a stretching boundary with partial slip—an exact solution of the Navier-Stokes equations,” Chemical Engineering Science, vol. 57, no. 17, pp. 3745–3747, 2002. View at Publisher · View at Google Scholar · View at Scopus
  24. E. Osalusi, “Effects of thermal radiation on MHD and slip flow over a porous rotating disk with variable properties,” Romanian Journal of Physics, vol. 52, no. 3-4, pp. 217–229, 2007. View at Google Scholar
  25. A. A. Khidir, “Viscous dissipation, Ohmic heating and radiation effects on MHD flow past a rotating disk embedded in a porous medium with variable properties,” Arabian Journal of Mathematics, vol. 2, no. 3, pp. 263–277, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  26. E. M. Sparrow, G. S. Beavers, and L. Y. Hung, “Flow about a porous-surfaced rotating disk,” International Journal of Heat and Mass Transfer, vol. 14, no. 7, pp. 993–996, 1971. View at Publisher · View at Google Scholar · View at Scopus
  27. M. M. Rashidi and N. Freidooni Mehr, “Effects of velocity slip and temperature jump on the entropy generation in magnetohydrodynamic flow over a porous rotating disk,” Journal of Mechanical Engineering, vol. 1, no. 3, 2012. View at Google Scholar
  28. A. Arikoglu, G. Komurgoz, I. Ozkol, and A. Y. Gunes, “Combined effects of temperature and velocity jump on the heat transfer, fluid flow, and entropy generation over a single rotating disk,” Journal of Heat Transfer, vol. 132, no. 11, Article ID 111703, 2010. View at Publisher · View at Google Scholar · View at Scopus
  29. T. Hayat, M. Rashid, M. Imtiaz, and A. Alsaedi, “Magnetohydrodynamic (MHD) flow of Cu-water nanofluid due to a rotating disk with partial slip,” AIP Advances, vol. 5, no. 6, Article ID 067169, 2015. View at Publisher · View at Google Scholar · View at Scopus
  30. M. Zakerullah and J. A. D. Ackroyd, “Laminar natural convection boundary-layers on Horizontal Circular disks,” Journal of Applied Mathematics and Physics, vol. 30, pp. 427–435, 1979. View at Google Scholar
  31. H. Herwig, “The effect of variable properties on momentum and heat transfer in a tube with constant heat flux across the wall,” International Journal of Heat and Mass Transfer, vol. 28, no. 2, pp. 423–431, 1985. View at Publisher · View at Google Scholar · View at Scopus
  32. H. Herwig and K. Klemp, “Variable property effects of fully developed laminar flow in concentric annuli,” Journal of Heat Transfer, vol. 110, no. 2, pp. 314–320, 1988. View at Publisher · View at Google Scholar · View at Scopus
  33. K. A. Maleque and M. A. Sattar, “Steady laminar convective flow with variable properties due to a porous rotating disk,” Journal of Heat Transfer, vol. 127, no. 12, pp. 1406–1409, 2005. View at Publisher · View at Google Scholar · View at Scopus
  34. K. A. Maleque and M. A. Sattar, “The effects of variable properties and hall current on steady MHD laminar convective fluid flow due to a porous rotating disk,” International Journal of Heat and Mass Transfer, vol. 48, no. 23-24, pp. 4963–4972, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  35. E. Osalusi and P. Sibanda, “On variable laminar convective flow properties due to a porous rotating disk in a magnetic field,” Romanian Journal of Physics, vol. 9, no. 10, pp. 933–944, 2006. View at Google Scholar
  36. M. M. Rahman, “Convective Hydromagnetic slip flow with variable properties due to a porous rotating disk,” The Sultan Qaboos University Journal for Science, vol. 15, pp. 55–79, 2010. View at Google Scholar
  37. M. M. Rashidi, S. A. Mohimanian Pour, T. Hayat, and S. Obaidat, “Analytic approximate solutions for steady flow over a rotating disk in porous medium with heat transfer by homotopy analysis method,” Computers & Fluids, vol. 54, no. 1, pp. 1–9, 2012. View at Publisher · View at Google Scholar · View at Scopus
  38. S. Hussain, F. Ahmad, M. Shafique, and S. Hussain, “Numerical solution for accelerated rotating disk in a viscous fluid,” Applied Mathematics, vol. 4, no. 6, pp. 899–902, 2013. View at Publisher · View at Google Scholar
  39. M. M. Rashidi, N. Kavyani, and S. Abelman, “Investigation of entropy generation in MHD and slip flow over a rotating porous disk with variable properties,” International Journal of Heat and Mass Transfer, vol. 70, pp. 892–917, 2014. View at Publisher · View at Google Scholar · View at Scopus
  40. N. Freidoonimehr, M. M. Rashidi, S. Abelman, and G. Lorenzini, “Analytical modeling of MHD flow over a permeable rotating disk in the presence of Soret and Dufour effects: entropy analysis,” Entropy, vol. 18, no. 5, article 131, 2016. View at Publisher · View at Google Scholar
  41. M. S. Alam, S. M. Chapal Hossain, and M. M. Rahman, “Transient thermophoretic particle deposition on forced convective heat and mass transfer flow due to a rotating disk,” Ain Shams Engineering Journal, vol. 7, no. 1, pp. 441–452, 2016. View at Publisher · View at Google Scholar · View at Scopus
  42. S. Jayaraj, “Thermophoresis in laminar flow over cold inclined plates with variable properties,” Heat and Mass Transfer, vol. 30, no. 3, pp. 167–173, 1995. View at Publisher · View at Google Scholar · View at Scopus
  43. M. M. Rahman, “Thermophoretic deposition of nanoparticles due to a permeable rotating disk: effects of partial slip, magnetic field, thermal radiation, thermal-diffusion, and diffusion-thermo,” International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, vol. 7, no. 5, 2013. View at Google Scholar
  44. I. V. Shevchuk, Convective Heat and Mass Transfer in Rotating Disk Systems, Springer, Berlin, Germany, 2009.
  45. C. L. Tien and D. T. Campbell, “Heat and mass transfer from rotating cones,” Journal of Fluid Mechanics, vol. 17, no. 1, pp. 105–112, 1963. View at Publisher · View at Google Scholar
  46. C. J. Elkins and J. K. Eaton, “Heat transfer in the rotating disk boundary layer,” Tech. Rep. TSD-103, Stanford University, Department of Mechanical Engineering, Thermosciences Division, Stanford, Calif, USA, 1997. View at Google Scholar
  47. G. Karniadakis, A. Beskok, and N. Aluru, Microflows: Fundamentals and Simulation, Springer, New York, NY, USA, 2001. View at MathSciNet
  48. N. Kelson and A. Desseaux, “Note on porous rotating disk flow,” Australian & New Zealand Industrial and Applied Mathematics Journal, vol. 42, pp. 837–855, 2000. View at Google Scholar
  49. M. Alam, N. Poddar, M. Rahman, and K. Vajravelu, “Transient hydromagnetic forced convective heat transfer slip flow due to a porous rotating disk with variable fluid properties,” American Journal of Heat and Mass Transfer, vol. 2, no. 3, pp. 165–189, 2015. View at Publisher · View at Google Scholar