Table of Contents Author Guidelines Submit a Manuscript
International Journal of Engineering Mathematics
Volume 2017, Article ID 8410691, 13 pages
https://doi.org/10.1155/2017/8410691
Research Article

Unsteady Natural Convection Flow past an Infinite Cylinder with Thermal and Mass Stratification

1Department of Mathematics, Cotton College State University, Guwahati 781001, India
2Department of Mathematics, Gauhati University, Guwahati 781014, India

Correspondence should be addressed to Ashish Paul; moc.liamg@58luaphsa

Received 29 June 2016; Revised 8 November 2016; Accepted 6 December 2016; Published 11 January 2017

Academic Editor: Alberto Cardona

Copyright © 2017 Ashish Paul and Rudra Kanta Deka. 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. Gebhart and L. Pera, “The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion,” International Journal of Heat and Mass Transfer, vol. 14, no. 12, pp. 2025–2050, 1971. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  2. F. A. Bottemanne, “Experimental results of pure and simultaneous heat and mass transfer by free convection about a vertical cylinder for Pr=0.71 and Sc=0.63,” Applied Scientific Research, vol. 25, no. 5, pp. 372–382, 1972. View at Publisher · View at Google Scholar · View at Scopus
  3. T. S. Chen and C. F. Yuh, “Combined heat and mass transfer in natural convection along a vertical cylinder,” International Journal of Heat and Mass Transfer, vol. 23, no. 4, pp. 451–461, 1980. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  4. K. Velusamy and V. K. Garg, “Transient natural convection over a heat generating vertical cylinder,” International Journal of Heat and Mass Transfer, vol. 35, no. 5, pp. 1293–1306, 1992. View at Publisher · View at Google Scholar · View at Scopus
  5. P. Ganesan and H. P. Rani, “Transient natural convection along vertical cylinder with heat and mass transfer,” Heat and Mass Transfer, vol. 33, no. 5-6, pp. 449–455, 1998. View at Publisher · View at Google Scholar · View at Scopus
  6. P. Ganesan and P. Loganathan, “Effects of mass transfer and flow past a moving vertical cylinder with constant heat flux,” Acta Mechanica, vol. 150, no. 3-4, pp. 179–190, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  7. P. Ganesan and P. Loganathan, “Unsteady natural convective flow past a moving vertical cylinder with heat and mass transfer,” Heat and Mass Transfer, vol. 37, no. 1, pp. 59–65, 2001. View at Publisher · View at Google Scholar · View at Scopus
  8. P. Ganesan and P. Loganathan, “Heat and mass flux effects on a moving vertical cylinder with chemically reactive species diffusion,” Journal of Engineering Physics and Thermophysics, vol. 75, no. 4, pp. 899–909, 2002. View at Publisher · View at Google Scholar
  9. H. P. Rani, “Transient natural convection along a vertical cylinder with variable surface temperature and mass diffusion,” Heat and Mass Transfer, vol. 40, no. 1-2, pp. 67–73, 2003. View at Publisher · View at Google Scholar · View at Scopus
  10. M. Devakar, D. Sreenivasu, and B. Shankar, “Analytical solutions of couple stress fluid flows with slip boundary conditions,” Alexandria Engineering Journal, vol. 53, no. 3, pp. 723–730, 2014. View at Publisher · View at Google Scholar · View at Scopus
  11. R. K. Deka, A. Paul, and A. Chaliha, “Transient free convection flow past vertical cylinder with constant heat flux and mass transfer,” Ain Shams Engineering Journal, 2015. View at Publisher · View at Google Scholar · View at Scopus
  12. H. S. Takhar, A. J. Chamkha, and G. Nath, “Natural convection flow from a continuously moving vertical surface immersed in a thermally stratified medium,” Heat and Mass Transfer/Waerme- und Stoffuebertragung, vol. 38, no. 1, pp. 17–24, 2001. View at Publisher · View at Google Scholar · View at Scopus
  13. H. S. Takhar, A. J. Chamkha, and G. Nath, “Natural convection on a vertical cylinder embedded in a thermally stratified high-porosity medium,” International Journal of Thermal Sciences, vol. 41, no. 1, pp. 83–93, 2002. View at Publisher · View at Google Scholar · View at Scopus
  14. P. Loganathan and P. Ganesan, “Numerical study of double-diffusive, free convective flow past a moving vertical cylinder,” Journal of Engineering Physics and Thermophysics, vol. 79, no. 1, pp. 73–78, 2006. View at Publisher · View at Google Scholar · View at Scopus
  15. A. Shapiro and E. Fedorovich, “Unsteady convectively driven flow along a vertical plate immersed in a stably stratified fluid,” Journal of Fluid Mechanics, vol. 498, pp. 333–352, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  16. A. Shapiro and E. Fedorovich, “Prandtl number dependence of unsteady natural convection along a vertical plate in a stably stratified fluid,” International Journal of Heat and Mass Transfer, vol. 47, no. 22, pp. 4911–4927, 2004. View at Publisher · View at Google Scholar · View at Scopus
  17. C.-Y. Cheng, “Combined heat and mass transfer in natural convection flow from a vertical wavy surface in a power-law fluid saturated porous medium with thermal and mass stratification,” International Communications in Heat and Mass Transfer, vol. 36, no. 4, pp. 351–356, 2009. View at Publisher · View at Google Scholar · View at Scopus
  18. D. Srinivasacharya and G. S. Reddy, “Effect of double stratification on free convection in a power-law fluid saturated porous medium,” Fluid Dynamics and Materials Processing, vol. 9, no. 3, pp. 291–305, 2013. View at Google Scholar · View at MathSciNet
  19. D. Srinivasacharya and C. RamReddy, “Natural convection heat and mass transfer in a micropolar fluid with thermal and mass stratification,” International Journal for Computational Methods in Engineering Science and Mechanics, vol. 14, no. 5, pp. 401–413, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  20. B. V. Rathish Kumar and S. V. S. S. N. V. G. Krishna Murthy, “Double diffusive free convection induced by verticalwavy surface in a doubly stratified Darcy porous medium under the influence of Soret and Dufour effect,” Journal of Porous Media, vol. 15, no. 9, pp. 877–890, 2012. View at Publisher · View at Google Scholar · View at Scopus
  21. M. Neagu, “Free convective heat and mass transfer induced by a constant heat and mass fluxes vertical wavy wall in a non-Darcy double stratified porous medium,” International Journal of Heat and Mass Transfer, vol. 54, no. 11-12, pp. 2310–2318, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  22. R. K. Deka and A. Paul, “Transient free convection flow past an infinite moving vertical cylinder in a stably stratified fluid,” Journal of Heat Transfer, vol. 134, no. 4, Article ID 042503, 8 pages, 2012. View at Publisher · View at Google Scholar · View at Scopus
  23. R. K. Deka and A. Paul, “Transient free convection flow past an infinite vertical cylinder with thermal stratification,” Journal of Mechanical Science and Technology, vol. 26, no. 8, pp. 2229–2237, 2012. View at Publisher · View at Google Scholar · View at Scopus
  24. R. K. Deka and A. Paul, “Convectively driven flow past an infinite moving vertical cylinder with thermal and mass stratification,” Pramana—Journal of Physics, vol. 81, no. 4, pp. 641–665, 2013. View at Publisher · View at Google Scholar · View at Scopus
  25. H. S. Carslaw and J. C. Jaeger, Operational Methods in Applied Mathematics, Oxford University Press, London, UK, 2nd edition, 1948.
  26. A. K. Kulkarni, H. R. Jacobs, and J. J. Hwang, “Similarity solution for natural convection flow over an isothermal vertical wall immersed in thermally stratified medium,” International Journal of Heat and Mass Transfer, vol. 30, no. 4, pp. 691–698, 1987. View at Publisher · View at Google Scholar · View at Scopus