Effect of Viscous dissipation on an unsteady MHD free convection flow of nanofluid through porous medium with suction and heat source

D. Vidyanadha Babu; M. Suryanarayana Reddy

doi:https://doi.org/10.14445/22315373/IJMTT-V47P506

International Journal of Mathematics Trends and Technology

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Volume 47 | Number 1 | Year 2017 | Article Id. IJMTT-V47P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V47P506

Effect of Viscous dissipation on an unsteady MHD free convection flow of nanofluid through porous medium with suction and heat source

D. Vidyanadha Babu, M. Suryanarayana Reddy

Abstract

The unsteady MHD flow of a nanofluid past a moving vertical permeable semi infinite flat plate with constant heat source through porous medium in the presence of viscous dissipation is theoretically. We used two types of nanofluids namely Cu-water and Tio2-water are used. The suitable transformations are applied to convert the governing partial differential equations into a set of nonlinear coupled ordinary differential equations.. The transformed equations are then solved analytically by multiple perturbation techninique. The obtained results for the velocity, temperature and concentration are analyzed graphically for several physical parameters. The flow features and heat transfer characteristics for different values of the governing parameters viz. skin friction coefficient, local Nusselt number, and Sherwood parameter are analyzed and discussed in detail.

Keywords

MHD, Free convection, Nanofluid, Heat Transfer, viscous dissipation, Heat source Porous medium, and Suction.

References

1. Choi S.U.S., 1995, Enhancing thermal conductivity of fluids with nanoparticle, In: D.A. Siginer, H.P. Wang (Eds.), Developmentsand Applications of Non-Newtonian Flows, The ASME New York. FED Vol.231/MD Vol.66, pp. 99-105.
2. Dae-Hwang Yoo, Hong K.S. and Ho-Soon Yang, 2007a, Study of thermal conductivity of nanofluids for the application of heat transfer fluids, Thermochimica Acta, Vol.455, No.1–2, pp.66–69.
3. Tran, P. X., and Soong, Y. "Preparation of nanofluids using laser ablation in liquidtechnique." ASME Applied Mechanics and Materials Conference, Austin, TX, 2007.
4. Cheng P. and Minkowycz W.J., 1977, Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike, J. Geophysics Research, Vol.82, No.14, pp.2040-2044.
5. Murshed, S. M. S., Leong, K. C., and Yang, C. (2005). "Enhanced thermal conductivityof TiO2-water based nanofluids." International Journal of Thermal Sciences, 44(4), 367-373
6. Hunt A.J., (1978), Small particle heat exchangers, J Renew Sustain Energy Lawrence Berkeley Lab Report Number LBL-7841.
7. Masuda H., Ebata A., Teramae K., and Hishinuma N., (1993), Alteration of thermal conductivity and viscosity of liquid by dispersing ultra-fine particles (dispersion of c-Al2O3, SiO2 and TiO2 ultra-fine particles), Netsu Bussei (in Japanese), Vol.4, pp.227– 233.
8. Choi S.U.S., and Eastman J.A., (1995), Enhancing thermal conductivity of fluids with nanoparticles. in: The Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisco, USA, ASME, FED 231/ MD 66: 99–105.
9. Buongiorno J., (2006), Convective transport in nanofluids, ASME J Heat Transf., Vol.128, pp.240–250.
10. Batchelor G.K., (1976), Brownian diffusion of particles with hydrodynamic interaction, J Fluid Mech., Vol.74, pp.1–29.
11. Walker K.L., Homsy G.M., and Geyling F.T., (1979), Thermophoretic deposition of small particles in laminar tube flow, J Coll Interf Sci., Vol. 69, pp.138–147.
12. Pratsinis S.T., and Kim K.S., (1989), Particle coagulation, diffusion and thermophoresis in laminar tube flows, J Aeros Sci., Vol.20, pp.101–111.
13. Otanicar T.P., and Golden J.S., (2009), Comparative environmental and economic analysis of conventional and nanofluid solar hot water technologies, Environ Sci & Tech., Vol. 43, pp.6082–6087.
14. Tyagi H., Phelan P., and Prasher R., (2009), Predicted efficiency of a low-temperature nanofluid-based direct absorption solar collector, J Solar Ener Eng., Vol.131, Article ID:041004.
15. Buongiorno J., and Hu L.W., (2009), Nanofluid heat transfer enhancement for nuclear reactor application. Proceedings of the ASME 2009 2nd Micro/Nanoscale Heat & Mass Transfer International Conference, MNHMT 2009. DOI: 10.1115/ MNHMT2009-18062.
16. Huminic G., and Huminic A., (2012), Application of nanofluids in heat exchangers: A review, Renew Sust Ener Reviews, Vol. 16, pp.5625–5638.
17. Tiwari, R.K., Das, M.K.: Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. Int. J. Heat Mass Transf. 50, 2002–2018 (2007)
18. Kameswaran, P.K., Narayana, M., Sibanda, P., Murthy, P.V.S.N. (2012). Hydromagnetic Nanofluid flow due to a stretching or shrinking sheet with viscous dissipation and chemical reaction effects. Int.J.Heat and Mass Transfer, 55(25), 7587-7595.
19. Mohan Krishna, P., Sugunamma, V. and Sandeep, N. (2013). Magneticfield and chemical reaction effects on convective flow of dusty viscous fluid. Communications in App. Sciences,1 ,161-187
20. Sandeep, N., Reddy, A.V.B., Sugunamma, V. (2012). Effect of radiation and chemical reaction on transient MHD free convective flow over a vertical plate through porous media. Chemical and process engineering research. 2 ,1-9..
21. Hady, F.M., Ibrahim, F.S., Sahar M Abel-Gaied, (2012). Radiation effect on viscous flow of a Nanofluid and heat transfer over a nonlinearly stretching sheet. Nanoscale Research Letters, 7, 229
22. T. Hayat, M. Imtiaz, A. Alsaedi, Unsteady flow of nanofluid with double stratification and magnetohydrodynamics, International Journal of Heat and Mass Transfer, 92 (2016) 100-109
23. A.Y. Ghaly, Radiation effect on a certain MHD free convection flow. Chasos, Solitons Fractal 13, 1843–1850, 2002.
24. R. Saidur, K.Y. Leong, H.A. Mohammad, Review on applications and challenges of nanofluids, Renewable and Sustainable Energy Reviews, 15 (2011) 1646–1668.
25. Eastman, J. A. "Novel thermal properties of nanostructured materials." International Symposium on Metastable Mechanically Alloyed, and Nanocrystalline Materials,Wollongong, Australia, 1998.
26. J. Buongiorno, Convective transport in nanofluids, ASME Journal of Heat Transfer, 128 (2006) 240–250.
27. R. E. Mohamed, Chemical reaction effect on MHD boundary-layer flow of two-phase nanofluid model over an exponentially stretching sheet with a heat generation, Journal of Molecular Liquids, 220 (2016) 718-725
28. E.Abu-Nada , Application of nanofluids for heat transfer enhancement of separated flows encountered in a backward facing step. Int J Heat Fluid Flow 29:242–249,2008
29. M.A El-Aziz , Radiation effect on the flow and heat transfer over an unsteady stretching surface. Int. Commu. Heat and MassTransf. 36, 521–524, 2009.

Citation :

D. Vidyanadha Babu, M. Suryanarayana Reddy, "Effect of Viscous dissipation on an unsteady MHD free convection flow of nanofluid through porous medium with suction and heat source," International Journal of Mathematics Trends and Technology (IJMTT), vol. 47, no. 1, pp. 40-48, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V47P506