THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Irfan Mustafa

,

Tariq Javed

HEAT TRANSFER IN NATURAL CONVECTION FLOW OF NANOFLUID ALONG A VERTICAL WAVY PLATE WITH VARIABLE HEAT FLUX

ABSTRACT
The present analysis is concerned to examine the enhancement of heat transfer in natural convection flow of nanofluid through a vertical wavy plate assumed at variable heat flux. The rate of heat transfer in nanofluid flow as compared to pure water can be increased due to increase the density of nanofluid which depends on the density and concentration of nanoparticles. For this analysis, Tiwari and Das model is used by considering two nanoparticles i. e. Al2O3 and Cu are suspended in a base fluid (water). A very efficient implicit finite difference technique converges quadratically is applied on the concerning PDE for numerical solution. The effects of pertinent parameters namely, volume fraction parameter of nanoparticle, wavy surface amplitude, Prandtl number and exponent of variable heat flux on streamlines, isothermal lines, local skin friction coefficient and local Nusselt number are shown through graphs. In this analysis, a maximum heat transfer rate is noted in Cu-water nanofluid through a vertical wavy surface as compared to Al2O3-water and pure water.
KEYWORDS
natural convection flow, nanofluid, heat transfer, variable heat flux, numerical solution
PAPER SUBMITTED: 2016-10-12
PAPER REVISED: 2017-01-05
PAPER ACCEPTED: 2017-01-06
PUBLISHED ONLINE: 2017-02-12
DOI REFERENCE: https://doi.org/10.2298/TSCI161012014M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 1, PAGES [179 - 190]
REFERENCES
  1. Yao, L. S., Natural convection along a vertical wavy surface, Journal of Heat Transfer, 105 (1983), pp. 465-468.
  2. Moulic, S. G., Yao, L. S., Mixed convection along wavy surface, Journal of Heat Transfer, 111 (1989), pp. 974-979.
  3. Bhavnani, S. H., Bergles, A. E., Natural convection heat transfer from sinusoidal wavy surfaces, Heat and Mass Transfer, 26 (1991), pp. 341-349.
  4. Yao, L. S., Natural convection along a vertical complex wavy surface, International Journal of Heat and Mass Transfer, 49 (2006), pp. 281-286.
  5. Jang, J. H., et al., Natural convection heat and mass transfer along a vertical wavy surface, International Journal of Heat and Mass Transfer, 46 (2003), pp. 1075-1083.
  6. Jang, J. H., Yan, W. M., Transient analysis of heat and mass transfer by natural convection over a vertical wavy surface, International Journal of Heat and Mass Transfer, 47 (2004), pp. 3695-3705.
  7. Mahdy, A., et al., MHD free convection flow along a vertical wavy surface with heat generation or absorption effect, International Communications in Heat and Mass Transfer, 33 (2006), pp. 1253-1263.
  8. Narayana, P. A. L., Sibanda, P., Soret and Dufour effects on free convection along a vertical wavy surface in a fluid saturated Darcy porous medium, International Journal of Heat and Mass Transfer, 53 (2010), pp. 3030-3034.
  9. Alim, M. A., et al., Heat generation effects on MHD natural convection flow along a vertical wavy surface with variable thermal conductivity, American Journal of Computational Mathematics, 2 (2012), pp. 42-50.
  10. Siddiqa, S., et al., Natural convection flow with surface radiation along a vertical wavy surface, Numerical Heat Transfer Applications, 64 (2013), pp. 400-415.
  11. Parveen, N., et al., Viscous dissipation effect on natural convection flow along a vertical wavy surface, Procedia Engineering, International Conference on Mechanical Engineering, 90 (2014), pp. 294-300.
  12. Shu, J. J., Pop, I., On thermal boundary layers on a flat plate subjected to a variable heat flux, International Journal of Heat and Fluid Flow, 19 (1998), pp. 79-84.
  13. Moulic, S. G., Yao, L. S., Natural convection along a wavy surface with uniform heat flux, Journal of Heat Transfer, 111 (1989), pp. 1106-1108.
  14. Tashtoush, B., Irshaid, E. A., Heat and fluid flow from a wavy surface subjected to a variable heat flux, Acta Mechanica, 152 (2001), pp. 1-8.
  15. Tashtoush, B., Al-Odat, M., Magnetic field effect on heat and fluid flow over a wavy surface with a variable heat flux, Journal of Magnetism and Magnetic Materials, 268 (2004), pp. 357-363.
  16. Rees, D. A., Pop, I., Free convection induced by a vertical wavy surface with uniform heat flux in a porous medium, Journal of Heat Transfer, 117 (1995), pp. 547-550.
  17. Molla, M., et al., Natural convection flow along a vertical complex wavy surface with uniform surface heat flux, Journal of Heat Transfer, 129 (2007), pp. 1403-1407.
  18. Rahman A., et al., Natural convection flow along the vertical wavy cone in case of uniform surface heat flux where viscosity is an exponential function of temperature, International Communications in Heat and Mass Transfer, 38 (2011), pp. 774-780.
  19. Neagu, M., 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, 54 (2011), pp. 2310-2318.
  20. Choi, S. U. S., Enhancing thermal conductivity of fluids with nanoparticles, Proceedings International Mechanical Engineering Congress. San Francisco, USA, ASME, FED 231/MD 66 (1995), pp. 99-105.
  21. Abu-Nada, E., Application of nanofluids for heat transfer enhancement of separated flows encountered in a backward facing step, International Journal of Heat and Fluid Flow, 29 (2008), pp. 242-249.
  22. Tiwari, R. J., Das, M. K., Heat transfer augmentation in a two sided lid driven differentially heated square cavity utilizing nanofluids, International Journal of Heat and Mass Transfer, 50 (2007), pp. 2002-2018.
  23. Maiga, S. E. B., et al., Heat transfer enhancement by using nanofluids in forced convection flows, International Journal of Heat and Fluid Flow, 26 (2005), pp. 530-546.
  24. Oztop, H. F., Abu-Nada, E., Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids, International Journal of Heat and Fluid Flow, 29 (2008), pp. 1326-1336.
  25. Nield, D. A., Kuznetsov, A. V., The chengeminkowycz problem for natural convective boundary layer flow in a porous medium saturated by a nanofluid, International Journal of Heat and Mass Transfer, 52 (2009), pp. 5792-5795.
  26. Kuznetsov, A. V., Nield, D. A., Natural convective boundary layer flow of a nanofluid past a vertical plate, International Journal of Thermal Science, 49 (2010), pp. 243-247.
  27. Jaluria, Y., et al., Heat transfer in nanofluid, Advances in Mechanical Engineering, Article ID 972973 (2012), pp. 1-2.
  28. Gorla, A. S., Kumari, M., Free convection along a vertical wavy surface in a nanofluid, Journal of Nanoengineering and Nanosystems, 225 (2011), pp. 133-142.
  29. Mahdy, A., Ahmed, S. E., Laminar free convection over a vertical wavy surface embedded in a porous medium saturated with a nanofluid, Transport in Porous Media, 91 (2012), pp. 423-435,.
  30. Srinivasacharya, D., Kumar, P. V., Mixed convection over an inclined wavy surface in a nanofluid saturated non-Darcy porous medium with Radiation Effect, International Journal of Chemical Engineering, Article ID 927508 (2015), pp. 15.
  31. Habiba, F., et al., Natural convection flow of Cu-H2O nanofluid along a vertical wavy surface with uniform heat flux, International Conference on Mechanical Engineering, (2015), pp. 18-20.
  32. Srinivasacharya, D., Kumar, P. V., Free convection of a nanofluid over an inclined wavy surface embedded in a porous medium with wall hea flux, Procedia Engineering, International Conference on computational Heat and Mass Transfer, 127 (2015), pp. 40-47.
  33. Merkin, J. H., Mahmood, T., On the free convection boundary layer on a vertical plate with prescribed surface heat flux, Journal of Engineering Mathematics, 24 (1990), pp. 95-107.
  34. Brinkman, H. C., The viscosity of concentrated suspensions and solution, Journal of Chemical Physics, 20 (1952), pp. 571-581.
  35. Pop, I., et al., Free convection about a vertical wavy surface with prescribed surface heat flux in a micropolar fluid, Technische Mechanik, 18 (1998), pp. 229-237.
  36. Cebeci, T., Bradshaw, P., Physical and computational aspects of convective heat transfer,Springer New York 1984.
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Heat transfer in natural convection flow of nanofluid along a vertical wavy plate with variable heat flux

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