Mixed Convection in Lid-Driven Trapezoidal Cavities with an Aiding or Opposing Side Wall

REFERENCES

• Energy Laboratory Report No. MIT-EL 79-039, Mathematical Predictive Models for Cooling Ponds and Lakes, 1979.
   Google Scholar
• U. Ghia, K. N. Ghia, and C. T. Shin High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method, J. Comput. Phys., vol. 48, pp. 387–411, 1982.
   Web of Science ®Google Scholar
• R. Schreiber, and H. B. Keller Driven Cavity Flows by Efficient Numerical Techniques, J. Comput. Phys., vol. 49, pp. 310–333, 1983.
   Web of Science ®Google Scholar
• E. Barragy, and G. F. Carey Stream Function-Vorticity Driven Cavity Solution Using p- Finite Elements, Comput. Fluids, vol. 26, pp. 453–468, 1997.
   Web of Science ®Google Scholar
• D. C. Wan, B. S. V. Patnaik, and G. W. Wei A New Benchmark Quality Solution for the Buoyancy-Driven Cavity by Discrete Singular Convolution, Numer. Heat Transfer B, vol. 40, pp. 199–228, 2001.
   Web of Science ®Google Scholar
• R. Glowinski, G. Guidoboni, and T.-W. Pan Wall-Driven Incompressible Viscous Flow in a Two-Dimensional Semi-Circular Cavity, J. Comput. Phys., vol. 216, pp. 76–91, 2006.
   Web of Science ®Google Scholar
• C.-H. Bruneau, and M. Saad The 2D Lid-Driven Cavity Problem Revisited, Comput. Fluids, vol. 35, pp. 326–348, 2006.
   Web of Science ®Google Scholar
• E. Erturk, and B. Dursun Numerical Solutions of 2-D Steady Incompressible Flow in a Driven Skewed Cavity, Math. Mech., vol. 87, pp. 377–392, 2007.
   Google Scholar
• K. Torrance, R. Davis, K. Eike, P. Gill, D. Gutman, A. Hsui, S. Lyons, and H. Zien Cavity Flows Driven by Buoyancy and Shear, J. Fluid Mech., vol. 51, pp. 221–231, 1972.
   Web of Science ®Google Scholar
• R. Iwatsu, J. M. Hyun, and K. Kuwahara Analyses of Three-Dimensional Low Calculations in a Driven Cavity, Fluid Dyn. Res., vol. 6, pp. 91–102, 1990.
   Web of Science ®Google Scholar
• R. Iwatsu, J. M. Hyun, and K. Kuwahara Mixed Convection in a Driven Cavity with a Stable Vertical Temperature Gradient, Int. J. Heat Mass Transfer, vol. 36, pp. 1601–1608, 1993.
   Web of Science ®Google Scholar
• K. M. Khanafer, and A. J. Chamkha Mixed Convection Flow in Lid-driven Enclosure Filled with Fluid–Saturated Porous Media, Int. J. Heat Mass Transfer, vol. 42, pp. 2465–2481, 1999.
   Web of Science ®Google Scholar
• O. Aydin Aiding and Opposing Mechanisms of Mixed Convection in a Shear-and Buoyancy-Driven Cavity, Int. Commun. Heat Mass Transfer, vol. 26, pp. 1019–1028, 1999.
   Web of Science ®Google Scholar
• A. J. Chamkha Hydromagnetic Combined Convection Flow in a Vertical Lid Driven Cavity with Internal Heat Generation or Absorption, Numer. Heat Transfer A, vol. 41, pp. 529–546, 2002.
   Web of Science ®Google Scholar
• A. M. Al-Amiri, K. M. Khanafer, and I. Pop Numerical Simulation of Combined Thermal and Mass Transport in a Square Lid-Driven Cavity, Int. J. Therm. Sci., vol. 46, pp. 662–671, 2007.
   Web of Science ®Google Scholar
• M. A. R. Sharif Laminar Mixed Convection in Shallow Inclined Driven Cavities with Hot Moving Lid on Top and Cooled from Bottom, Appl. Therm. Eng., vol. 27, pp. 1036–1042, 2007.
   Web of Science ®Google Scholar
• M. A. Waheed Mixed Convective Heat Transfer in Rectangular Enclosures Driven by a Continuously Moving Horizontal Plate, Int. J. Heat Mass Transfer, vol. 52, pp. 5055–5063, 2009.
   Web of Science ®Google Scholar
• J. R. Koseff, and R. L. Street The Lid-Driven Cavity Flow: A Synthesis of Qualitative and Quantitative Observations, J. Fluid Eng., vol. 106, pp. 390–398, 1984.
   Web of Science ®Google Scholar
• A. A. Mohamad, and R. Viskanta Flow and Thermal Structures in a Lid-Driven Cavity Heated From Below, Fluid Dyn. Res., vol. 12, pp. 173–184, 1993.
   Web of Science ®Google Scholar
• R. K. Tiwari, and M. K. Das Heat Transfer Augmentation in a Two-Sided Lid-Driven Differentially Heated Square Cavity Utilizing Nanofluids, Int. J. Heat Mass Transfer, vol. 50, pp. 2002–2018, 2007.
   Web of Science ®Google Scholar
• E. Abu-Nada, and A. J. Chamkha Mixed Convection Flow in a Lid-Driven Inclined Square Enclosure Filled with a Nanofluid, Eur. J. Mech. B Fluids, vol. 29, pp. 472–482, 2010.
   Web of Science ®Google Scholar
• A. J. Chamkha, and E. Abu-Nada 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, 2012.
   Web of Science ®Google Scholar
• A. A. Abbasian Arani, S. Mazrouei Sebdani, M. Mahmoodi, A. Ardeshiri, and M. Aliakbari Numerical Study of Mixed Convection Flow in a Lid-Driven Cavity with Sinusoidal Heating on Sidewalls Using Nanofluid, Superlattices Microstruct., vol. 51, pp. 893–911, 2012.
   Web of Science ®Google Scholar
• R. Nasrin, M. A. Alim, and A. J. Chamkha Combined Convection Flow in Triangular Wavy Chamber Filled with Water–CuO Nanofluid: Effect of Viscosity Models, Int. Commun. Heat Mass Transfer, vol. 39, pp. 1226–1236, 2012.
   Web of Science ®Google Scholar
• C. Sun, B. Yua, H. F. Oztop, Y. Wang, and J. Wei Control of Mixed Convection in Lid-Driven Enclosures Using Conductive Triangular Fins, Int. J. Heat Mass Transfer, vol. 54, pp. 894–909, 2011.
   Web of Science ®Google Scholar
• M. M. Rahman, M. A. Alim, and M. M. A. Sarker Numerical Study on the Conjugate Effect of Joule Heating and Magneto-Hydrodynamics Mixed Convection in an Obstructed Lid-Driven Square Cavity, Int. Commun. Heat Mass Transfer, vol. 37, pp. 524–534, 2010.
   Web of Science ®Google Scholar
• X. Wang, D. Shi, and D. Li Natural Convective Flow in an Inclined Lid-Driven Enclosure with a Heated Thin Plate in the Middle, Int. J. Heat Mass Transfer, vol. 55, pp. 8073–8087, 2012.
   Web of Science ®Google Scholar
• A. W. Islam, M. A. R. Sharif, and E. S. Carlson Mixed Convection in a Lid Driven Square Cavity with an Isothermally Heated Square Blockage Inside, Int. J. Heat Mass Transfer, vol. 55, pp. 5244–5255, 2012.
   Web of Science ®Google Scholar
• C. Migeon, A. Texier, and G. Pineau Effects of Lid-driven Cavity Shape on the Flow Establishment Phase, J. Fluid Struct., vol. 14, pp. 469–488, 2000.
   Web of Science ®Google Scholar
• H. Mercan, and K. Atalik Vortex Formation in Lid-Driven Arc-Shape Cavity Flows at High Reynolds Numbers, Eur. J. Mech. B Fluids, vol. 28, pp. 61–71, 2009.
   Web of Science ®Google Scholar
• S. Saha, G. Saha, Md. Q. Islam, and M. C. Raju Mixed Convection Inside a Lid-Driven Parallelogram Enclosure with Isoflux Heating from Below, J. Future Eng. Tech., vol. 6, pp. 14–22, 2010.
   Google Scholar
• M. M. Rahman, M. M. Billah, A. T. M. M. Rahman, M. A. Kalam, and A. Ahsan Numerical Investigation of Heat Transfer Enhancement of Nanofluids in an Inclined Lid-Driven Triangular Enclosure, Int. Commun. Heat Mass Transfer, vol. 38, pp. 1360–1367, 2011.
   Web of Science ®Google Scholar
• S. Kumar Natural Convective Heat Transfer in Trapezoidal Enclosure of Box-Type Solar Cooker, Renew. Energ., vol. 29, pp. 211–222, 2004.
   Web of Science ®Google Scholar
• M. A. H. Mamun, T. R. Tanim, M. M. Rahman, R. Saidur, and Sh. Nagata, Analysis of Mixed Convection in a Lid Driven Trapezoidal Cavity in Dr. Amimul Ahsan (ed.), Convection and Conduction Heat Transfer, chap. 3, pp. 55–82, InTech, Croatia, 2011.
   Google Scholar
• M. Bhattacharya, T. Basak, H. F. Oztop, and Y. Varol Mixed Convection and Role of Multiple Solutions in Lid-Driven Trapezoidal Enclosures, Int. J. Heat Mass Transfer, vol. 63, pp. 366–388, 2013.
   Web of Science ®Google Scholar
• C. A. J. Fletcher Computational Techniques for Fluid Dynamics. Specific Techniques for Different Flow Categories, vol. 2, Springer, Berlin, 1988.
   Google Scholar