Magnetoconvective Transport in a Lid-Driven Square Enclosure with Two Rotating Circular Cylinders

REFERENCES

• Shankar, P.N., and Deshpande, M.D., Fluid Mechanics in the Driven Cavity, Annual Review of Fluid Mechanics, vol. 32, pp. 93–136, 2000.
   Web of Science ®Google Scholar
• Rahman, M., Parvin, S., Hasanuzzaman, M., Saidur, R., and Rahim, N.A., Effect of Heat-Generating Solid Body on Mixed Convection Flow in a Ventilated Cavity, Heat Transfer Engineering, vol. 34, pp. 1249–1261, 2013.
   Web of Science ®Google Scholar
• Oztop, H.F., Zhao, Z., and Yu, B., Fluid Flow Due to Combined Convection in Lid-Driven Enclosure Having a Circular Body, International Journal of Heat and Fluid Flow, vol. 30, pp. 886–901, 2009.
   Web of Science ®Google Scholar
• Oztop, H.F., and Dagtekin, I., Laminar Flow in a Block Inserted Lid-Driven Cavity, Journal of Thermal Science and Technology, vol. 21, pp. 55–63, 2001.
   Google Scholar
• Ha, M.Y., Kim, I.K., Yoon, H.S., and Lee, S.S., Unsteady Fluid Flow and Temperature Fields in a Horizontal Enclosure With an Adiabatic Body, Physics of Fluids, vol. 14, pp. 3189–3202, 2002.
   Web of Science ®Google Scholar
• Ha, M.Y., Kim, I.K., Yoon, H.S., Yoon, K.S., Lee, J.R., Balachandar, S., and Chun, H.H., Two-Dimensional and Unsteady Natural Convection in a Horizontal Enclosure With a Square Body, Numerical Heat Transfer A, vol. 41, pp. 183–210, 2002.
   Web of Science ®Google Scholar
• Lee, J.R., and Ha, M.Y., A Numerical Study of Natural Convection in a Horizontal Enclosure With a Conducting Body, International Journal of Heat and Mass Transfer, vol. 48, pp. 3308–3318, 2005.
   Web of Science ®Google Scholar
• Lee, J.R., and Ha, M.Y., Numerical Simulation of Natural Convection in Horizontal Enclosure With Heat-Generating Conducting Body, KSME International Journal, vol. 29, pp. 441–452, 2005.
   Google Scholar
• Lee, J.R., Ha, M.Y., Balachandar, S., Yoon, H.S., and Lee, S.S., Natural Convection in a Horizontal Layer of Fluid With a Periodic Array of Square Cylinders in the Interior, Physics of Fluids, vol. 16, pp. 1273–1286, 2004.
   Web of Science ®Google Scholar
• Chamkha, A.J., Hussain, S.H., and Abd-Amer, Q.R., Mixed Convection Heat Transfer of Air Inside a Square Vented Cavity With a Heated Horizontal Square Cylinder, Numerical Heat Transfer A, vol. 59, pp. 58–79, 2011.
   Web of Science ®Google Scholar
• Shih, Y.-C., Khodadadi, J.M., Weng, K.-H., and Ahmed, A., Periodic Fluid Flow and Heat Transfer in a Square Cavity Due to an Insulated or Isothermal Rotating Cylinder, Transactions of ASME Journal of Heat Transfer, vol. 131, pp. 111701–1–11701–11, 2009.
   Web of Science ®Google Scholar
• Lewis, E., Steady Flow Between a Rotating Circular Cylinder and Fixed Square Cylinder, Journal of Fluid Mechanics, vol. 95, pp. 497–513, 1979.
   Web of Science ®Google Scholar
• Hellou, M., and Coutanceau, M., Cellular Stokes Flow Induced by Rotation of a Cylinder in a Closed Channel, Journal of Fluid Mechanics, vol. 236, pp. 557–577, 1992.
   Web of Science ®Google Scholar
• Hills, C.P., Flow Patterns in a Two-Roll Mill, Quarterly Journal of Mechanics and Applied Mathematics, vol. 55, pp. 273–296, 2002.
   Web of Science ®Google Scholar
• Kimura, T., Takeuchi, M., and Miyagawa, K., Effects of Inner Rotating Horizontal Cylinder on Heat Transfer in a Differentially Heated Enclosure, Heat Transfer—Japanese. Research, vol. 24, pp. 504–516, 1995.
   Google Scholar
• Rudraiah, N., Barron, R.M., Enkatachalappa, M.V., and Subbaraya, C.K., Effect of a Magnetic Field on Free Convection in a Rectangular Enclosure, International Journal of Engineering Science, vol. 33, pp. 1075–1084, 1995.
   Web of Science ®Google Scholar
• Garandet, J.P., Alboussiere, T., and Moreau, R., Buoyancy Driven Convection in a Rectangular Enclosure With a Transverse Magnetic Field, International Journal of Heat and Mass Transfer, vol. 35, pp. 741–748, 1992.
   Web of Science ®Google Scholar
• Al-Najem, N., Khanafer, K., and El-Refaee, M., Numerical Study of Laminar Natural Convection in Tilted Enclosure With Transverse Magnetic Field, International Journal of Numerical Methods for Heat & Fluid Flow, vol. 8, pp. 651–672, 1998.
   Web of Science ®Google Scholar
• Chamkha, A.J., Hydromagnetic Combined Convection Flow in a Vertical Lid-Driven Cavity With Internal Heat Generation or Absorption, Numerical Heat Transfer A, vol. 41, pp. 529–546, 2002.
   Web of Science ®Google Scholar
• Mahmud, S., Tasnim, S.H., and Mamun, M.A. H., Thermodynamic Analysis of Mixed Convection in a Channel With Transverse Hydromagnetic Effect, International Journal of Thermal Sciences, vol. 42, pp. 731–740, 2003.
   Web of Science ®Google Scholar
• Barletta, A., Lazzari, S., Magyari, E., and Pop, I., Mixed Convection With Heating Effects in a Vertical Porous Annulus With a Radially Varying Magnetic Field, International Journal of Heat and Mass Transfer, vol. 51, pp. 5777–5784, 2008.
   Web of Science ®Google Scholar
• Kahveci, K., and Oztuna, S., MHD Natural Convection Flow and Heat Transfer in a Laterally Heated Partitioned Enclosure, European Journal of Mechanics—B/Fluids, vol. 28, pp. 744–752, 2009.
   Web of Science ®Google Scholar
• Oztop, H.F., Oztop, M., and Varol, Y., Numerical Simulation of Magnetohydrodynamic Buoyancy-Induced Flow in a Non-Isothermally Heated Square Enclosure, Communications in Nonlinear Science and Numerical Simulation, vol. 14, pp. 770–778, 2009.
   Web of Science ®Google Scholar
• Ishak, A., Nazar, R., Bachok, N., and Pop, I., MHD Mixed Convection Flow Adjacent to a Vertical Plate With Prescribed Surface Temperature, International Journal of Heat and Mass Transfer, vol. 53, pp. 4506–4510, 2010.
   Web of Science ®Google Scholar
• Sivasankaran, S., Malleswaran, A., Lee, J., and Sundar, P., Hydro-Magnetic Combined Convection in a Lid-Driven Cavity With Sinusoidal Boundary Conditions on Both Sidewalls, International Journal of Heat and Mass Transfer, vol. 54, pp. 512–525, 2011.
   Web of Science ®Google Scholar
• Rahman, M.M., Oztop, H.F., Rahim, N.A., Saidur, R., and Al-Salem, K., MHD Mixed Convection With Joule Heating Effect in a Lid-Driven Cavity With a Heated Semi-Circular Source Using the Finite Element Technique, Numerical Heat Transfer A, vol. 60, pp. 543–560, 2011.
   Web of Science ®Google Scholar
• Chatterjee, D., MHD Mixed Convection in a Lid-Driven Cavity Including a Heated Source, Numerical Heat Transfer A, vol. 64, pp. 235–254, 2013.
   Web of Science ®Google Scholar
• Rahman, M.M., Alim, M.A., and Mamun, M.A. H., Finite Element Analysis of Mixed Convection in a Rectangular Cavity With a Heat-Conducting Horizontal Circular Cylinder, Nonlinear Analysis: Modelling and Control, vol. 14, pp. 217–247, 2009.
   Web of Science ®Google Scholar
• Rahman, M.M., Alim, M.A., and Sarker, M.M. A., Numerical Study on the Conjugate Effect of Joule Heating and Magneto-Hydrodynamics Mixed Convection in an Obstructed Lid-Driven Square Cavity, International Communications in Heat and Mass Transfer, vol. 37, pp. 524–534, 2010.
   Web of Science ®Google Scholar
• Rahman, M.M., and Alim, M.A., MHD Mixed Convection Flow in a Vertical Lid-Driven Square Enclosure Including a Heat Conducting Horizontal Circular Cylinder With Joule Heating, Nonlinear Analysis: Modelling Control, vol. 15, pp. 199–211, 2010.
   Web of Science ®Google Scholar
• Chatterjee, D., Halder, P., Mondal, S., and Bhattacharjee, S., Magnetoconvective Transport in a Vertical Lid-Driven Cavity Including a Heat Conducting Square Cylinder With Joule Heating, Numerical Heat Transfer A, vol. 64, pp. 1050–1071, 2013.
   Web of Science ®Google Scholar
• Chatterjee, D., Mondal, B., and Halder, P., Hydromagnetic Mixed Convective Transport in a Vertical Lid-Driven Cavity Including a Heat Conducting Rotating Circular Cylinder, Numerical Heat Transfer A, vol. 65, pp. 48–65, 2014.
   Web of Science ®Google Scholar
• Yoon, H.S., Jung, J.H., and Park, Y.G., Natural Convection in a Square Enclosure With Two Horizontal Cylinders, Numerical Heat Transfer A, vol. 62, pp. 701–721, 2012.
   Web of Science ®Google Scholar
• Lacroix, M., Natural Convection Heat Transfer Around Two Heated Horizontal Cylinders Inside a Rectangular Cavity Cooled From Above, Numerical Heat Transfer A, vol. 21, pp. 37–54, 1992.
   Web of Science ®Google Scholar
• Lacroix, M., and Joyeux, A., Coupling of Wall Conduction With Natural Convection From Heated Cylinder in a Rectangular Enclosure, International Communications in Heat and Mass Transfer, vol. 23, pp. 143–151, 1996.
   Web of Science ®Google Scholar
• Reymond, O., Murray, D.B., and O'Donovan, T.S., Natural Convection Heat Transfer From Two Horizontal Cylinders, Experimental Thermal and Fluid Science, vol. 32, pp. 1702–1709, 2008.
   Web of Science ®Google Scholar
• Chatterjee, D., and Halder, P., MHD Mixed Convective Transport in a Square Enclosure With Two Rotating Circular Cylinders, Numerical Heat Transfer A, vol. 65, pp. 802–824, 2014.
   Web of Science ®Google Scholar
• White, F.M., Viscous Fluid Flow,2nd ed., McGraw-Hill, New York, NY, 1991.
   Google Scholar
• FLUENT 6.0 User's Guide, Vol. 37, Fluent Inc., Lebanon, NH, 2001.
   Google Scholar
• Kim, B.S., Lee, D.S., Ha, M.Y., and Yoon, H.S., A Numerical Study of Natural Convection in a Square Enclosure With a Circular Cylinder at Different Vertical Locations, International Journal of Heat and Mass Transfer, vol. 51, pp. 1888–1906, 2008.
   Web of Science ®Google Scholar