Skip to main content
Log in

Ag-water nanofluid flow over an inclined porous plate embedded in a non-Darcy porous medium due to solar radiation

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

The heat absorber uses in solar power plants have generally low energy adaptation owing to large emissive losses at high temperature. Recently, nanofluid based solar energy absorber have acknowledged immense scientific curiosity to competent share and store the thermal energy. Here we examine theoretically the natural convective flow of an Ag nanoparticle based nanofluid flow along an inclined flat sheet embedded in a Darcy-Forchheimer permeable medium coexistence of solar radiation. By use of similarity transformations, the fundamental partial differential system and boundary conditions are tackled numerically using Runge-Kutta Gill based shooting procedure. The impacts of governing parameters upon the flow, temperature, Nusselt number and skin friction coefficient are represented tabular as well as in graphical form.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. J. Hunt, Small particle heat exchangers, Lawrence Berkeley Laboratory report no. LBL 7841, Journal of Renewable Sustainable Energy(1978).

    Book  Google Scholar 

  2. S. Choi, Enhancing thermal conductivity of fluids with nanoparticles. 66, D. A. Siginer, H. P. Wang (Eds.), Developments and Applications of Non-Newtonian Flows, ASME MD, FED, 231(1995) 99–105.

    Google Scholar 

  3. A. V. Kuznetsov and D. A. Nield, Natural convective boundary-layer flow of a nanofluid past a vertical plate, International Journal of Thermal Science, 49 (2010) 243–347.

    Article  Google Scholar 

  4. J. Buongiorno and W. Hu, Nanofluid coolants for advanced nuclear power plants, Paper no. 5705, Proceedings of ICAPP, Seoul, 5 (2005) 15–19.

    Google Scholar 

  5. M. A. Hossain and H. S. Takhar, Radiation effect on mixed convection along a vertical plate with uniform surface temperature, International Journal of Heat Mass Transfer, 31 (1996) 243–248.

    Article  Google Scholar 

  6. R. Kandasamy, I. Muhaimin, A. B. Khamis and R. Roslan, Unsteady Heimenz flow of Cu-nanofluid over a porous wedge in the presence of thermal stratification due to solar energy radiation: Lie group transformation, International Journal of Thermal Science, 65 (2013)196–205.

    Article  Google Scholar 

  7. K. Das, P. R. Duari and P. K. Kundu, Solar radiation effects on Cu-water nanofluid flow over a stretching sheet with surface slip and temperature jump, Arabian Journal for Science and Engineering, 39 (2014) 9015–9023.

    Article  Google Scholar 

  8. R. K. Tiwari and M. K. Das, Heat transfer augmentation in a two sided lid-driven differentially heated square cavity utilizing nanofluids, International Journal of Heat and Mass Transfer, 50 (2007) 2002–2018.

    Article  MATH  Google Scholar 

  9. X. Q. Wang and A. S. Mujumder, Heat transfer characteristics of nanofluids: A review, International Journal of Thermal Science, 46 (2007) 1–19.

    Article  Google Scholar 

  10. E. Abu-Nada, Application of nanofluids for heat transfer enhancement of separated flows encountered in a backward facing step, International Journal of Heat Fluid Flow, 29 (2008) 242–249.

    Article  Google Scholar 

  11. H. F. Oztop and E. Abu-Nada, Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids, International Journal of Heat Fluid Flow, 29 (2008) 1326–1336.

    Article  Google Scholar 

  12. S. Karak and A. Pramuanjaroenkij, Review of convective heat transfer enhancement with nanofluids, International Journal of Heat and Mass Transfer, 52 (2009) 3187–3196.

    Article  MATH  Google Scholar 

  13. K. Das, Slip flow and convective heat transfer of nanofluids over a permeable stretching surface, Computers and Fluids, 64 (2012) 34–42.

    Article  MathSciNet  Google Scholar 

  14. M. Moslehi and M. Saghafian, MHD mixed convection slip flow in a vertical parallel plate microchannel heated at asymmetric and uniform heat flux, Journal of Mechanical Science and Technology, 29 (2015) 5317–5324.

    Article  Google Scholar 

  15. M. Azimi and R. Riazi, MHD copper-water nanofluid flow and heat transfer through convergent-divergent channel, Journal of Mechanical Science and Technology, 30 (2016) 4679–4686.

    Article  Google Scholar 

  16. P. Cheng and W. Minkowycz, Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike, Journal of Geophysical Research, 82 (1977) 2040–2044.

    Article  Google Scholar 

  17. F. C. Lai and F. A. Kulacki, Non-Darcy mixed convection along a vertical wall in a saturated porous medium, International Journal of Heat and Mass Transfer, 113 (1991) 252–255.

    Google Scholar 

  18. K. Vafai and C. L. Tien, Boundary and inertia effect on convection mass transfer in porous media, International Journal of Heat and Mass Transfer, 25 (1982) 1183–1190.

    Article  Google Scholar 

  19. J. T. Hong, Y. Yamada and C. L. Tien, Effects of non-Darcian and non-uniform porosity on vertical plate natural convection in porous media, ASME Journal of Heat Transfer, 109 (1987) 356–362.

    Article  Google Scholar 

  20. M. Kaviany, Boundary layer treatment of forced convection heat transfer from a semi infinite flat plate embedded in porous media, ASME Journal of Heat Transfer, 109 (1987) 345–349.

    Article  Google Scholar 

  21. K. S. Chen and J. R. Ho, Effects of flow inertia on vertical natural convection in saturated porous media, International Journal of Heat and Mass Transfer, 29 (1988) 753–759.

    Article  MATH  Google Scholar 

  22. Y. J. Rami, A. Fawzi and F. A. Rub, Darcy-Forchhimer mixed convection heat and mass transfer in fluid saturated porous media, International Journal of Numerical Methods for Heat & Fluid Flow, 11 (2001) 600–618.

    Article  MATH  Google Scholar 

  23. A. Ishak, Similarity solutions for flow and heat transfer over a permeable surface with convective boundary conditions, Applied Mathematics and Computation, 217 (2010) 837–842.

    Article  MathSciNet  MATH  Google Scholar 

  24. S. Mukhopadhyay, P. R. De, K. Bhattacharyya and G. C. Layek, Forced convective flow and heat transfer over a porous plate in a Darcy-Forchhimer medium in presence of radiation, Meccanica, 47 (2012)153–161.

    Article  MathSciNet  MATH  Google Scholar 

  25. K. A. Fathalah and M. M. Elsayed, Natural convection due to solar radiation over a non absorbing plate with and without heat losses, International Journal of Heat and Fluid Flow, 2 (1980) 41–45.

    Article  Google Scholar 

  26. J. C. A. Maxwell, A Treatise on electricity and magnetism, 2 unabridged, Third Ed., Clarendon Press, Oxford, UK(1891).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tanmoy Chakraborty.

Additional information

Recommended by Associate Editor Jaeseon Lee

Tanmoy Chakraborty has completed his M.Sc. degree in Applied Mathematics from the University of Calcutta in 2012. Now he is going to complete Ph.D. degree from Jadavpur University. So far he had 3 research papers published in International journals in the fields of fluid mechanics (MHD and Nanofluids). He is now working as an Assistant Professor in Techno India College of Technology, West Bengal, India.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chakraborty, T., Das, K. & Kundu, P.K. Ag-water nanofluid flow over an inclined porous plate embedded in a non-Darcy porous medium due to solar radiation. J Mech Sci Technol 31, 2443–2449 (2017). https://doi.org/10.1007/s12206-017-0442-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-017-0442-4

Keywords

Navigation