Mhd Mixed Convection in Copper-Water Nanofluid Filled Lid-Driven Square Cavity Containing Multiple Adiabatic Obstacles with Discrete Heating

R.S.R. Gorla 1 , S. Siddiqa 2 , A.A. Hasan 3 , T. Salah 3  and A.M. Rashad 4
  • 1 Department of Mechanical Engineering, Cleveland State University, Cleveland
  • 2 COMSATS Institute of Information Technology, , Attock, Pakistan
  • 3 Basic and Applied Sciences Department, College of Engineering and Technology, Arab Academy for Science & Technology and Maritime Transport (AASTMT), Aswan, Egypt
  • 4 Department of Mathematics, Aswan University, Faculty of Science, Aswan, Egypt

Abstract

The objective of the present work is to investigate the influence of nanoparticles of copper within the base fluid (water) on magneto-hydrodynamic mixed-convection flow in a square cavity with internal generation. A control finite volume method and SIMPLER algorithm are used in the numerical calculations. The geometry is a lid-driven square cavity with four interior square adiabatic obstacles. A uniform heat source is located in a part of the left wall and a part of the right wall of the enclosure is maintained at cooler temperature while the remaining parts of the two walls are thermally insulated. Both the upper and bottom walls of the cavity are considered to be adiabatic. A comparison with previously published works shows a very good agreement. It is observed that the Richardson number, Ri, significantly alters the behavior of streamlines when increased from 0.1 to 100.0. Also, the heat source position parameter, D, significantly changes the pattern of isotherms and its strength shifted when D moves from 0.3 to 0.7.

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  • [1] Bagchi A. and Kulacki F.A. (2013): Natural convection in superposed fluid-porous layers.− Springer Briefs in Applied Sciences and Technology, Thermal Engineering and Applied Science, Springer, New York.

  • [2] Yu W. and Xie H. (2012): A Review on nanofluids: preparation, stability mechanisms, and applications.− J. Nanometer, Article ID 435873, 17 pages doi:10.1155/2012/435873.

  • [3] Khanafer K. and Vafai K. (2011):A critical synthesis of thermophysical characteristics of nanofluids.− Int. J. Heat Mass Transfer, vol.54, pp.4410-4428.

  • [4] Choi S.U.S. (1995): Enhancing thermal conductivity of fluids with nanoparticles. − Development and Applications of Non-Newtonian Flows, D.A. Siginer and H.P. Wang, eds., ASME, New York, MD-vol.231 and FED, vol.66, pp.99-105.

  • [5] Buongiorno J. (2006): Convective transport in nanofluids.− ASME J. Heat Transfer, vol.128, pp.240-250.

  • [6] Khanafer K., Vafai K. and Lightstone M. (2003): Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids.− Int. J. Heat Mass Transfer, vol.46, pp.3639-3653.

  • [7] Mansour M.A., Mohamed R.A., Abd-Elaziz M.M. and Ahmed S.E. (2010):Numerical simulation of mixed convection flows in a square lid-driven cavity partially heated from below using nanofluid. − Int. Commun. Heat Mass Transfer, vol.37, pp.1504-1512.

  • [8] Talebi F., Mahmoudi A.H. and Shahi M. (2010): Numerical study of mixed convection flows in a square lid-driven cavity utilizing nanofluid.− Int. Commun. Heat Mass Transfer, vol.37, pp.79-90.

  • [9] Ghasemi B. and Aminossadati S.M. (2010): Mixed convection in a lid-driven triangular enclosure filled with nanofluids.− Int. Commun. Heat Mass Transfer, vol.37, pp.1142-1148.

  • [10] Chamkhaa A.J. and Abu-Nada E. (2012): Mixed convection flow in single- and double-lid driven square cavities filled with water–Al2O3 nanofluid: effect of viscosity models. − Eur. J. Mech. B/Fluids, vol.36, pp.82-96.

  • [11] Abouei Mehrizi A., Farhadi M., Hassanzade Afroozi H., Sedighi K., Rabienataj Darz A.A. (2012): Mixed convection heat transfer in a ventilated cavity with hot obstacle: Effect of nanofluid and outlet port location.− Int. Commun. Heat Mass Transfer, vol.39, pp.1000-1008.

  • [12] Fatih Selimefendigil and Hakan F. Öztop (2018): Modeling and optimization of MHD mixed convection in a lid-driven trapezoidal cavity filled with alumina–water nanofluid: Effects of electrical conductivity models.− International Journal of Mechanical Sciences, vol.136, pp.264-278.

  • [13] Rashad A.M., Muneer A. Ismael, Ali J. Chamkha and Mansour M.A. (2016): MHD mixed convection of localized heat source/sink in a nanofluid-filled lid-driven square cavity with partial slip. − Journal of the Taiwan Institute of Chemical Engineers, vol.68, pp.173-186.

  • [14] Rashad A.M., Ahmed M., Sameh Khan E., Waqar A. and Mansour M.A. (2017): Inclined MHD mixed convection and partial slip of nanofluid in a porous lid-driven cavity with heat source-sink: effect of uniform and non-uniform bottom heating.− J. Nanofluids, vol.6, pp.368-378.

  • [15] Muneer A. Ismael, Mansour M.A., Ali J. Chamkha and Rashad A.M. (2016): Mixed convection in a nanofluid filled-cavity with partial slip subjected to constant heat flux and inclined magnetic field.− Journal of Magnetism and Magnetic Materials, vol.15, pp.25-36.

  • [16] Kandaswamy P., Sundari S.M. and Nithyadevi N. (2008): Magnetoconvection in an enclosure with partially active vertical walls. − Int. J. Heat Mass Transfer, vol.51, pp.1946-1954.

  • [17] Nithyadevi N., Kandaswamy P. and Sundari S.M. (2009): Magnetoconvection in a square cavity with partially active vertical walls: time periodic boundary condition. − Int. J. Heat Mass Transfer, vol.52, pp.1945-1953.

  • [18] Iwatsu R., Hyun J.M. and Kuwahara K. (1993): Mixed convection in a driven cavity with a stable vertical temperature gradient. − Int. J. Heat Mass Transfer, vol.36, pp.1601-8.

  • [19] Aminossadati S.M. and Ghasemi B. (2009): Natural convection cooling of a localized heat source at the bottom of a nanofluid-filled enclosure. − Eur. J. Mech. B/Fluids, vol.28, pp.630-40.

  • [20] Khanafer K., Vafai K. and Lightstone M. (2003): Buoyancy-driven heat transfer enhancement in a two dimensional enclosure utilizing nanofluids. − Int. J. Heat Mass Transfer, vol.46, pp.3639-53.

  • [21] Abu-Nada E. and Chamkha A.J. (2010): Effect of nanofluid variable properties on natural convection in enclosures filled with anCuO-EG-water nanofluid. − Int. J. Therm. Sci.vol.49, pp.2339-52.

  • [22] Maxwell J.A. (1904): Treatise on electricity and magnetism. − 2nd ed. Cambridge, UK: Oxford University Press.

  • [23] Brinkman H.C. (1952): The viscosity of concentrated suspensions and solution. − J. Chem. Phys., vol.20, pp.571-81.

  • [24] Patankar S.V. (1980): Numerical Heat Transfer and Fluid Flow. − New York: Hemisphere.

  • [25] Khanafer K.M. and Chamkha A.J. (1999): Mixed convection flow in a lid-driven enclosure filled with a fluid-saturated porous medium.− Int. J. Heat Mass Transf., vol.31, pp.1354-1370.

  • [26] Iwatsu R., Hyun J.M. and Kuwahara K. (1993): Mixed convection in a driven cavity with a stable vertical temperature gradient.− Int. J. Heat Mass Transf., vol.36, pp.1601-1608.

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