N. Nithyadevi1 and M. Rajarathinam This email address is being protected from spambots. You need JavaScript enabled to view it.1

1Department of Mathematics, Bharathiar University, Coimbatore 641 046, Tamil Nadu, India


Received: January 18, 2016
Accepted: April 24, 2016
Publication Date: September 1, 2016

Download Citation: ||https://doi.org/10.6180/jase.2016.19.3.09  


In this study, the effect of internal heat generation for Cu-water nanofluid on natural convection heat transfer in a fluid saturated porous cavity with partially active walls has been numerically investigated. The governing non-dimensional Darcy-Brinkman-Forchheimer equations are solved using the finite volume approach together with SIMPLE algorithm. Benchmark results are compared with present study which furnish that the present results are to be reliable. The addition of nanoparticles produces an augmented heat transfer rate for low values of internal heat generation. On the other hand, the base fluid water induces the maximum heat transfer rate than the nanofluid for high values of internal heat generation parameter. This means that in the presence of high internal heat generation, there is no need to add nanoparticles inside the cavity to generate the augmented heat transfer rate.

Keywords: Heat Generation, Nanofluid, Partially Active Walls, Porous Medium


  1. [1] Nield, D. A. and Bejan, A., Convection in Porous Media, 4th ed., Springer-Verlag, New York (2013). doi: 10.1007/978-1-4614-5541-7
  2. [2] Vafai, K., Handbook of Porous Media, 2nd ed., Taylor and Francis, Boca Raton (2005). doi: 10.1201/9780 415876384.pt3
  3. [3] Nithiarasu, P., Seetharamu, K. N. and Sundararajan, T., “Natural Convection Heat Transfer in a Fluid Saturated Variable Porosity Medium,” Int. J. Heat Mass Transfer, Vol. 40, No. 16, pp. 39553967 (1997). doi: 10.1016/ S0017-9310(97)00008-2
  4. [4] D. Santhosh Kumar, D., Dass, A. K. and Dewan, A., “Analysis of Non-Darcy Models for Mixed Convection in a Porous Cavity Using Multigrid Approach,” Numer. Heat Transfer Part A, Vol. 56, No. 8, pp. 685708 (2009). doi: 10.1080/10407780903424674
  5. [5] Attia, H. A., “On the Effectiveness of Porosity on Unsteady Mixed Convection Flow along an Infinite Vertical Porous Plate with Heat and Mass Transfer,” Tamkang. J. Sci. Engg., Vol. 14, pp. 285291 (2011). doi: 10.6180/jase.2011.14.4.01
  6. [6] Sheikhzadeh, G. A., Arefmanesh, A., Kheirkhah, M. H. and Abdollahi, R., “Natural Convection of Cu-water Nanofluid in a Cavity with Partially Active Side Walls,” Eur. J. Mech. B Fluids, Vol. 30, No. 2, pp. 166176 (2011). doi: 10.1016/j.euromechflu.2010.10. 003
  7. [7] Teamah, M. A. and El-Maghlany, W. M., “Augmentation of Natural Convective Heat Transfer in Square Cavity by Utilizing Nanofluids in the Presence of Magnetic Field and Uniform Heat Generation/Absorption,” Int. J. Therm. Sci., Vol. 58, pp. 130142 (2012). doi: 10.1016/j.ijthermalsci.2012.02.029
  8. [8] Attia, H. A., “Heat Transfer in a Stagnation Point Flow of a Micropolar Fluid over a Stretching Surface with Heat Generation/Absorption,” Tamkang. J. Sci. Engg., Vol. 9, No. 4, pp. 229305 (2006). doi: 10.6180/jase. 2006. 9.4.01
  9. [9] Mahdi, R. A., Mohammed, H. A., Munisamy, K. M. and Saeid, N. H., “Review of Convection Heat Transfer and Fluid Flow in Porous Media with Nanofluid,” Renew. Sustainable Energy Rev., Vol. 41, pp. 715734 (2015). doi: 10.1016/j.rser.2014.08.040
  10. [10] Nguyen, M. T., Aly, A. M. and Lee, S. W., “Natural Convection in a Non-Darcy Porous Cavity Filled with Cu-water Nanofluid Using Characteristic-based Split Procedure in Finite Element Method,” Numer. Heat Transfer Part A, Vol. 67, No. 2, pp. 224247 (2015). doi: 10. 1080/10407782.2014.923225
  11. [11] Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, Washington (1980).