International Scientific Journal


The similar solution on the equations of the revised Cheng-Minkowycz problem for natural convective boundary layer flow of nanofluid through a porous medium gives (using an analytical method), a system of non-linear partial differential equations which are solved by optimal homotopy analysis method. Effects of various drastic parameters on the fluid and heat transfer characteristics have been analyzed. A very good agreement is observed between the obtained results and the numerical ones. The entropy generation has been derived and a comprehensive parametric analysis on that has been done. Each component of the entropy generation has been analyzed separately and the contribution of each one on the total value of entropy generation has been determined. It is found that the entropy generation as an important aspect of the industrial applications has been affected by various parameters which should be controlled to minimize the entropy generation.
PAPER REVISED: 2015-01-21
PAPER ACCEPTED: 2015-02-02
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Supplement 1, PAGES [S169 - S178]
  1. Choi, S. U. S., Eastman, J. A., Enhancing Thermal Conductivity of Fluids with Nanoparticles, Materials Science, 231 (1995), 8, pp. 99-105
  2. Rashidi, M. M., Erfani, E., The Modified Differential Transform Method for Investigating Nano Boundary-Layers over Stretching Surfaces, International Journal of Numerical Methods for Heat & Fluid Flow, 21 (2011), 7, pp. 864-883
  3. Rashidi, M. M., et al., DTM-Pade Modeling of Natural Convective Boundary Layer Flow of a Nanofluid past a Vertical Surface, Int. Journal of Thermal and Environmental Engineering, 4 (2011), 1, pp. 13-24
  4. Khan, Z. H., et al., Triple Diffusive Free Convection along a Horizontal Plate in Porous Media Saturated by a Nanofluid with Convective Boundary Condition, International Journal of Heat and Mass Transfer, 66 (2013), 1, pp. 603-612
  5. Buongiorno, J., Convective Transport in Nanofluids, ASME J. Heat Transfer, 128 (2006), 1, pp. 240-250
  6. Kim, S., Vafai, K., Analysis of Natural-Convection about a Vertical Plate Embedded in a Porous- Medium, Int. J. Heat Mass Transfer, 32 (1989), 4, pp. 665-677
  7. Kuznetsov, A. V., Nield, D. A., The Cheng-Minkowycz Problem for Natural Convective Boundary Layer Flow in a Porous Medium Saturated by a Nanofluid: A Revised Model, International Journal of Heat and Mass Transfer, 65 (2013), 1, pp. 682-685
  8. Erfani, E., et al., The Modified Differential Transform Method for Solving off-Centered Stagnation Flow towards a Rotating Disc, International Journal of Computational Methods, 7 (2010), 4, pp. 655-670
  9. Rashidi, M. M., et al., Analytical Modeling of Heat Convection in Magnetized Micropolar Fluid by Using Modified Differential Transform Method, Heat Transfer-Asian Research, 40 (2011), 3, pp. 187-204
  10. Liao, S. J., The Proposed Homotopy Analysis Technique for the Solution of Nonlinear Problems, Ph. D. thesis, Shanghai Jiao Tong University, Shanghai, China, 1992
  11. Rashidia, M. M.,et al., Analytic Approximate Solutions for Steady Flow over a Rotating Disk in Porous Medium with Heat Transfer by Homotopy Analysis Method, Computers & Fluids, 54 (2012), 1, pp. 1-9
  12. Basiri Parsaa, A., et al., Semi-Computational Simulation of Magneto-Hemodynamic Flow in a Semi- Porous Channel Using Optimal Homotopy and Differential Transform Methods, Computers in Biology and Medicine, 43 (2013), 9, pp. 1142-1153
  13. Bejan, A., Advances in Heat Transfer (Eds. James, P. H., Thomas, F.I.), Elsevier, 1982
  14. Butt, A. S., et al., Entropy Generation in the Blasius Flow under Thermal Radiation, Physica Scripta, 85 (2012), 3, pp. 35-48
  15. Rashidi, M. M., et al., Entropy Generation in Steady MHD Flow due to a Rotating Porous Disk in a Nanofluid, International Journal of Heat and Mass Transfer, 62 (2013), 1, pp. 515-525
  16. Rashidi, M. M., et al., Parametric Analysis of Entropy Generation in Off-Centered Stagnation Flow Towards a Rotating Disc, Nonlinear Engineering, 3 (2014), 1, pp. 27-41
  17. Rashidi, M. M., et al., Parametric Analysis of Entropy Generation in Magneto-Hemodynamic Flow in a Semi-Porous Channel with OHAM and DTM, Applied Bionics and Biomechanics, 11 (2014), 1-2, pp. 47-60
  18. Baytas, A. C., Baytas, A. F., Entropy Generation in Porous Media, in: Transport Phenomena in Porous Media III (Eds. D. B. Ingham, I. Pop), Elsevier, Oxford. UK, 2005, pp. 201-224

© 2018 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence