Visualization of Heat Transport during Natural Convection in a Tilted Square Cavity: Effect of Isothermal and Nonisothermal Heating

REFERENCES

• K. C. Tseng and J. R. Tsai , Numerical Solver for an Ultrafast Laser Heating on Different 3-D Microscale Metallic Films , Numer. Heat Transfer A , vol. 53 , pp. 726 – 748 , 2008 .
   Web of Science ®Google Scholar
• H. Miao and B. Milton , Numerical Simulation of the Gas/Diesel Dual-Fuel Engine In- Cylinder Combustion Process , Numer. Heat Transfer A , vol. 47 , pp. 523 – 547 , 2005 .
   Web of Science ®Google Scholar
• M. Strada and J. C. Heinrich , Heat Transfer Rates in Natural Convection of High Rayleigh Numbers in Rectangular Enclosures—A Numerical Study , Numer. Heat Transfer , vol. 5 , pp. 81 – 93 , 1982 .
   Google Scholar
• M. M. Ganzarolli and L. F. Milanez , Natural Convection in Rectangular Enclosures Heated from below and Symmetrically Cooled from the Sides , Int. J. Heat Mass Transfer , vol. 38 , pp. 1063 – 1073 , 1995 .
   Web of Science ®Google Scholar
• F. Joly , O. Quemener , and A. Neveu , Modal Reduction of an Advection-Diffusion Model using a Branch Basis , Numer. Heat Transfer B , vol. 53 , pp. 466 – 485 , 2008 .
   Web of Science ®Google Scholar
• C. Lei and J. C. Patterson , Natural Convection in a Reservoir Sidearm Subject to Solar Radiation: A Two-Dimensional Simulation , Numer. Heat Transfer A , vol. 42 , pp. 13 – 32 , 2002 .
   Web of Science ®Google Scholar
• K. A. Joudi , I. A. Hussein , and A. A. Farhan , Computational Model for a Prism Shaped Storage Solar Collector with a Right Triangular Cross Section , Energy Convers. Manage. , vol. 45 , pp. 391 – 409 , 2004 .
   Web of Science ®Google Scholar
• C. Lei and J. C. Patterson , Natural Convection in a Reservoir Sidearm Subject to Solar Radiation: Experimental Observations , Exper. in Fluids , vol. 32 , pp. 590 – 599 , 2002 .
   Web of Science ®Google Scholar
• A. Omri , J. Orfi , and S. B. Nasrallah , Natural Convection Effects in Solar Stills , Desalination and Environmental , vol. 183 , pp. 173 – 178 , 2005 .
   Web of Science ®Google Scholar
• I. E. Sarris , I. Lekakis , and N. S. Vlachos , Natural Convection in a 2-D Enclosure with Sinusoidal Upper Wall Temperature , Numer. Heat Transfer A , vol. 42 , pp. 513 – 530 , 2002 .
   Web of Science ®Google Scholar
• W. Wu , D. Ewing , and C. Y. Ching , The Effect of the Top and Bottom Wall Temperature on the Laminar Natural Convection in an Air-Filled Square Cavity , Int. J. Heat Mass Transfer , vol. 49 , pp. 1999 – 2008 , 2006 .
   Web of Science ®Google Scholar
• S. K. Choi and S. O Kim , Comparative Analysis of Thermal Models in the Lattice Boltzmann Method for the Simulation of Natural Convection in a Square Cavity , Numer. Heat Transfer B , vol. 60 , pp. 135 – 145 , 2011 .
   Web of Science ®Google Scholar
• O. Turan , A. Sachdeva , R. J. Poole , and N. Chakraborty , Laminar Natural Convection of Bingham Fluids in a Square Enclosure with Vertical Walls Subjected to Constant Heat Flux , Numer. Heat Transfer A , vol. 60 , pp. 381 – 409 , 2011 .
   Web of Science ®Google Scholar
• I. E. Sarris , D. G. E. Grigoriadis , and N. S. Vlachos , Laminar Free Convection in a Square Enclosure Driven by the Lorentz Force , Numer. Heat Transfer A , vol. 58 , pp. 923 – 942 , 2010 .
   Web of Science ®Google Scholar
• R. E. Ayachi , A. Raji , M. Hasnaoui , and A. Bahlaoui , Combined Effect of Radiation and Natural Convection in a Square Cavity Differentially Heated with a Periodic Temperature , Numer. Heat Transfer A , vol. 53 , pp. 1339 – 1356 , 2008 .
   Web of Science ®Google Scholar
• R. S. Kaluri and T. Basak , Entropy Generation Minimization Versus Thermal Mixing due to Natural Convection in Differentially and Discretely Heated Square Cavities , Numer. Heat Transfer A , vol. 58 , pp. 475 – 504 , 2010 .
   Web of Science ®Google Scholar
• T. Fusegi , J. M. Hyun , and K. Kuwahara , Natural Convection in a Differentially Heated Square Cavity with Internal Heat Generation, Numer. Heat Transfer A , vol. 21, pp. 215–230, 1992.
   Web of Science ®Google Scholar
• J. L. Lage and A. Bejan , The Ra-Pr Domain of Laminar Natural Convection in an Enclosure Heated from the Side , Numer. Heat Transfer A , vol. 19 , pp. 21 – 41 , 1991 .
   Web of Science ®Google Scholar
• M. Corcione , Effects of the Thermal Boundary Conditions at the Sidewalls upon Natural Convection in Rectangular Enclosures Heated from below and Cooled from Above , Int. J. Therm. Sci. , vol. 42 , pp. 199 – 208 , 2003 .
   Web of Science ®Google Scholar
• O. Aydin , A. Unal , and T. Ayhan , A Numerical Study on Buoyancy-Driven Flow in an Inclined Square Enclosure Heated and Cooled on Adjacent Walls , Numer. Heat Transfer A , vol. 36 , pp. 585 – 599 , 1999 .
   Web of Science ®Google Scholar
• J. Rasoul and P. Prinos , Natural Convection in an Inclined Enclosure , Int. J. Numer. Methods Heat Fluid Flow , vol. 7 , pp. 438 – 478 , 1997 .
   Web of Science ®Google Scholar
• T. D. Upton and D. W. Watt , Experimental Study of Transient Natural Convection in an Inclined Rectangular Enclosure , Int. J. Heat Mass Transfer , vol. 40 , pp. 2679 – 2690 , 1997 .
   Web of Science ®Google Scholar
• F. J. Hamady , J. R. Lloyd , H. Q. Yang , and K. T. Yang , Study of Local Natural Convection Heat Transfer in an Inclined Enclosure , Int. J. Heat Mass Transfer , vol. 32 , pp. 1697 – 1708 , 1989 .
   Web of Science ®Google Scholar
• M. Corcione and E. Habib , Buoyant Heat Transport in Fluids—Across Tilted Square Cavities Discretely Heated at One Side , Int. J. Therm. Sci. , vol. 49 , pp. 797 – 808 , 2010 .
   Web of Science ®Google Scholar
• C. Y. Soong , P. Y. Tzeng , D. C. Chiang , and T. S. Sheu , Numerical Study on Mode-Transition of Natural Convection in Differentially Heated Inclined Enclosures , Int. J. Heat Mass Transfer , vol. 39 , pp. 2869 – 2882 , 1996 .
   Web of Science ®Google Scholar
• F. A. Munir , N. A. C. Sidik , and N. I. N. Ibrahim , Numerical Simulation of Natural Convection in an Inclined Square Cavity , J. Appl. Sci. , vol. 11 , pp. 373 – 378 , 2011 .
   Google Scholar
• C. Cianfrini , M. Corcione , and P. P. Dell'Omo , Natural Convection in Tilted Square Cavities with Differentially Heated Opposite Walls , Int. J. Therm. Sci. , vol. 44 , pp. 441 – 451 , 2005 .
   Web of Science ®Google Scholar
• T. L. Lee and T. F. Lin , Three-Dimensional Natural Convection of Air in an Inclined Cubic Cavity , Numer. Heat Transfer A , vol. 27 , pp. 681 – 703 , 1995 .
   Web of Science ®Google Scholar
• R. A. Kuyper , Th. H. Van Der Meer , C. J. Hoogendoorn , and R. A. W. M. Henkes , Numerical Study of Laminar and Turbulent Natural Convection in an Inclined Square Cavity , Int. J. Heat Mass Transfer , vol. 36 , pp. 2899 – 2911 , 1993 .
   Web of Science ®Google Scholar
• S. Kimura and A. Bejan , The Heatlines Visualization of Convective Heat Transfer , J. Heat Transfer , vol. 105 , no. 4 , pp. 916 – 919 , 1983 .
   Web of Science ®Google Scholar
• V. A. F. Costa , Unification of the Streamline, Heatline and Massline Methods for the Visualization of Two-Dimensional Transport Phenomena , Int. J. Heat Mass Transfer , vol. 42 , pp. 27 – 33 , 1999 .
   Web of Science ®Google Scholar
• V. A. F. Costa , Heatline and Massline Visualization of Laminar Natural Convection Boundary Layers Near a Vertical Wall , Int. J. Heat Mass Transfer , vol. 43 , pp. 3765 – 3774 , 2000 .
   Web of Science ®Google Scholar
• V. A. F. Costa , Unified Streamline, Heatline and Massline Methods for the Visualization of Two-Dimensional Heat and Mass Transfer in Anisotropic Media , Int. J. Heat Mass Transfer , vol. 46 , pp. 1309 – 1320 , 2003 .
   Web of Science ®Google Scholar
• V. A. F. Costa , Double-Diffusive Natural Convection in Parallelogrammic Enclosures Filled with Fluid-Saturated Porous Media , Int. J. Heat Mass Transfer , vol. 47 , pp. 2699 – 2714 , 2004 .
   Web of Science ®Google Scholar
• V. A. F. Costa , Bejan's Heatlines and Masslines for Convection Visualization and Analysis , Appl. Mech. Rev. , vol. 59 , pp. 126 – 145 , 2006 .
   Web of Science ®Google Scholar
• S. J. Kim and S. P. Jang , Experimental and Numerical Analysis of Heat Transfer Phenomena in a Sensor Tube of a Mass Flow Controller, Int. J. Heat Mass Transfer , vol. 44, pp. 1711–1724, 2001.
   Web of Science ®Google Scholar
• A. Dalal and M. K. Das , Heatline Method for the Visualization of Natural Convection in a Complicated Cavity , Int. J. Heat Mass Transfer , vol. 51 , pp. 263 – 272 , 2008 .
   Web of Science ®Google Scholar
• Q. H. Deng and G. F. Tang , Numerical Visualization of Mass and Heat Transport for Conjugate Natural Convection/Heat Conduction by Streamline and Heatline , Int. J. Heat Mass Transfer , vol. 45 , pp. 2373 – 2385 , 2002 .
   Web of Science ®Google Scholar
• F. Y. Zhao , D. Liu , and G. F. Tang , Application Issues of the Streamline, Heatline and Massline for Conjugate Heat and Mass Transfer , Int. J. Heat Mass Transfer , vol. 50 , pp. 320 – 334 , 2007 .
   Web of Science ®Google Scholar
• A. Bejan , Convection Heat Transfer, , 3rd ed. , Wiley , Hoboken , NJ , 2004 .
   Google Scholar
• J. N. Reddy , An Introduction to the Finite Element Method , McGraw Hill , New York , 1993 .
   Google Scholar
• E. Natarajan , T. Basak , and S. Roy , Natural Convection Flows in a Trapezoidal Enclosure with Uniform and Nonuniform Heating of Bottom Wall , Int. J. Heat Mass Transfer , vol. 51 , pp. 747 – 756 , 2008 .
   Web of Science ®Google Scholar
• T. Basak and S. Roy , Role of Bejan's Heatlines in Heat Flow Visualization and Optimal Thermal Mixing for Differentially Heated Square Enclosures , Int. J. Heat Mass Transfer , vol. 51 , pp. 3486 – 3503 , 2008 .
   Web of Science ®Google Scholar
• G. K. Batchelor , An Introduction to Fluid Dynamics , Cambridge University Press , London , 1993 .
   Google Scholar