Numerical Simulations for the Analysis of Entropy Generation During Natural Convection in Porous Rhombic Enclosures

REFERENCES

• Z. Alloui , J. Guiet , P. Vasseur , and M. Reggio , Natural Convection of Nanofluids in a Shallow Rectangular Enclosure Heated from the Side , Canadian J. Chem. Eng. , vol. 90 , pp. 69 – 78 , 2012 .
   Web of Science ®Google Scholar
• W. Zhang , Z. Huang , C. H. Zhang , and G. Xi , Conjugate Wall Conduction-Fluid Natural Convection in a Three-Dimensional Inclined Enclosure, Numer. Heat Transfer A , vol. 61, pp. 122–141, 2012.
   Web of Science ®Google Scholar
• H. Bararnia , K. Hooman , and D. D. Ganji , Natural Convection in a Nanofluids-Filled Portioned Cavity: The Lattice-Boltzmann Method , Numer. Heat Transfer A , vol. 59 , pp. 487 – 502 , 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
• S. H. Aydin , Two-Level Finite Element Method with a Stabilizing Subgrid for the Natural Convention Flow Simulation in Different Geometries , Numer. Heat Transfer A , vol. 59 , pp. 799 – 813 , 2011 .
   Web of Science ®Google Scholar
• M. Vanderhaegen , J. Vierendeels , and B. Arien , CFD Analysis of the MYRRHA Primary Cooling System , Nuclear Eng. Design , vol. 241 , pp. 775 – 784 , 2011 .
   Web of Science ®Google Scholar
• N. S. Hanspal , A. N. Waghode , V. Nassehi , and R. J. Wakeman , Numerical Analysis of Coupled Stokes/Darcy Flows in Industrial Filtrations , Trans. Porous Media , vol. 64 , pp. 73 – 101 , 2006 .
   Web of Science ®Google Scholar
• J. Cote , M. H. Fillion , and J. M. Konrad , Intrinsic Permeability of Materials Ranging from Sand to Rock-Fill using Natural Air Convection Tests , Canadian Geotechnical J. , vol. 48 , pp. 679 – 690 , 2011 .
   Web of Science ®Google Scholar
• S. Chellaiah and H. Singh , Freezing of a Salt Solution in a Packed Bed , J. Offshore Mech. Arctic Eng—Trans. ASME , vol. 118 , pp. 79 – 85 , 1996 .
   Web of Science ®Google Scholar
• M. Carrera-Rodriguez , G. M. Martinez-Gonzalez , J. L. Navarrete-Bolanos , J. E. Botello-Alvarez , R. Rico-Martinez , and H. Jimenez-Islas , Transient Numerical Study of the Effect of Ambient Temperature on 2-D Cereal Grain Storage in Cylindrical Silos , J. Stored Products Research , vol. 47 , pp. 106 – 122 , 2011 .
   Web of Science ®Google Scholar
• A. K. Tiwari , A. K. Singh , P. Chandran , and N. C. Sacheti , Natural Convection in a Cavity with a Sloping Upper Surface Filled with an Anisotropic Porous Material , Acta Mechanica , vol. 223 , pp. 95 – 108 , 2012 .
   Web of Science ®Google Scholar
• L. C. Jin , X. R. Zhang , and X. D. Niu , Lattice Boltzmann Simulation for Temperature-Sensitive Magnetic Fluids in a Porous Square Cavity , J. Magnetism Magnetic Materials , vol. 324 , pp. 44 – 51 , 2012 .
   Web of Science ®Google Scholar
• J. C. F. Wong and J. L. Xie , Inverse Determination of a Heat Source from Natural Convection in a Porous Cavity , Comp. Fluids , vol. 52 , pp. 1 – 14 , 2011 .
   Web of Science ®Google Scholar
• M. Bhuvaneswari , S. Sivasankaran , and Y. J. Kim , Magnetoconvection in a Square Enclosure with Sinusoidal Temperature Distributions on Both Side Walls , Numer. Heat Transfer A , vol. 59 , pp. 167 – 184 , 2011 .
   Web of Science ®Google Scholar
• M. A. Waheed , Heatfunction Formulation of Thermal Convection in Rectangular Enclosures Filled with Porous Media , Numer. Heat Transfer A , vol. 55 , pp. 185 – 204 , 2009 .
   Web of Science ®Google Scholar
• E. Abu-Nada and H. F. Oztop , Numerical Analysis of Al 2 O 3/Water Nanofluids Natural Convection in a Wavy Walled Cavity , Numer. Heat Transfer A , vol. 59 , pp. 403 – 419 , 2011 .
   Web of Science ®Google Scholar
• F. Moukalled and M. Darwish , Natural Convection Heat Transfer in a Porous Rhombic Annulus , Numer. Heat Transfer A , vol. 58 , pp. 101 – 124 , 2010 .
   Web of Science ®Google Scholar
• A. Bejan , Entropy Generation Minimization , CRC , Boca Raton , 1996 .
   Google Scholar
• Y. Varol , H. F. Oztop , and I. Pop , Entropy Analysis due to Conjugate-Buoyant Flow in a Right-Angle Trapezoidal Enclosure Filled with a Porous Medium Bounded by a Solid Vertical Wall , Int. J. Therm. Sci. , vol. 48 , pp. 1161 – 1175 , 2009 .
   Web of Science ®Google Scholar
• G. Komurgoz , A. Arikoglu , E. Turker , and I. Ozkol , Second-Law Analysis for an Inclined Channel Containing Porous-Clear Fluid Layers by Using the Differential Transform Method , Numer. Heat Transfer A , vol. 57 , pp. 603 – 623 , 2010 .
   Web of Science ®Google Scholar
• Y. Varol , H. F. Oztop , and I. Pop , Entropy Generation due to Natural Convection in Non-Uniformly Heated Porous Isosceles Triangular Enclosures at Different Positions, Int. J. Heat Mass Trans. , vol. 52, pp. 1193–1205, 2009.
   Web of Science ®Google Scholar
• I. Zahmatkesh , On the Importance of Thermal Boundary Conditions in Heat Transfer and Entropy Generation for Natural Convection Inside a Porous Enclosure , Int. J. Therm. Sci. , vol. 47 , pp. 339 – 346 , 2008 .
   Web of Science ®Google Scholar
• L. Kolsi , A. Abidi , M. N. Borjini , and H. Ben Aissia , The Effect of an External Magnetic Field on the Entropy Generation in Three-Dimensional Natural Convection , Thermal Sci. , vol. 14 , pp. 341 – 352 , 2010 .
   Web of Science ®Google Scholar
• S. Banerjee , A. Mukhopadhyay , S. Sen , and R. Ganguly , Effects of the Dipole Position on Thermomagnetic Convection in a Locally Heated Shallow Enclosure: Thermodynamic and Transport Analysis , Numer. Heat Transfer A , vol. 57 , pp. 496 – 519 , 2010 .
   Web of Science ®Google Scholar
• B. Abu-Hijleh , Natural Convection and Entropy Generation from a Cylinder with High Conductivity Fins , Numer. Heat Transfer A , vol. 39 , pp. 405 – 432 , 2001 .
   Web of Science ®Google Scholar
• D. A. Nield and A. Bejan , Convection in Porous Media , Springer-Verlag , New York , 2006 .
   Google Scholar
• A. Kumar and P. Bera , Natural Convection in an Anisotropic Porous Enclosure due to Nonuniform Heating from the Bottom Wall , J. Heat Transfer—Trans. ASME , vol. 131 , pp. 1 – 13 , 2009 .
   Web of Science ®Google Scholar
• K. Hooman , F. Hooman , and S. R. Mohebpour , Entropy Generation for Forced Convection in a Porous Channel with Isoflux or Isothermal Walls , Int. J. Exergy , vol. 5 , pp. 78 – 96 , 2008 .
   Web of Science ®Google Scholar
• K. Hooman and A. Haji-Sheikh , Analysis of Heat Transfer and Entropy Generation for a Thermally Developing Brinkman-Brinkman Forced Convection Problem in a Rectangular Duct with Isoflux Walls , Int. J. Heat Mass Transfer , vol. 50 , pp. 4180 – 4194 , 2007 .
   Web of Science ®Google Scholar
• K. Hooman and H. Gurgenci , Effects of Temperature-Dependent Viscosity Variation on Entropy Generation, Heat and Fluid Flow Through a Porous-Saturated Duct of Rectangular Cross-Section , Appl. Math. Mechanics , vol. 28 , pp. 69 – 78 , 2007 .
   Web of Science ®Google Scholar
• K. Hooman , Entropy-Energy Analysis of Forced Convection in a Porous-Saturated Circular Tube Considering Temperature-Dependent Viscosity Effects , Int. J. Exergy , vol. 3 , pp. 436 – 451 , 2006 .
   Web of Science ®Google Scholar
• D. A. Nield and D. D. Joseph , Effects of Quadratic Drag on Convection in a Saturated Porous Medium , Physics of Fluids , vol. 28 , pp. 995 – 997 , 1985 .
   Web of Science ®Google Scholar
• S. Fauve and A. Libchaber , Chaos and Order in Nature , Springer , Berlin , 1981 .
   Google Scholar
• R. M. Clever and F. H. Busse , Low Prandtl-Number Convection in a Layer Heated from Below , J. Fluid Mech. , vol. 102 , pp. 61 – 74 , 1981 .
   Web of Science ®Google Scholar
• Z. G. Du and E. Bilgen , Natural Convection in Vertical Cavities with Internal Heat Generating Porous Medium , Heat Mass Transfer , vol. 27 , pp. 149 – 155 , 1992 .
   Google Scholar
• K. Vafai and C. L. Tien , Boundary and Inertia Effects on Flow and Heat Transfer in Porous Media , Int. J. Heat Mass Transfer , vol. 24 , pp. 195 – 203 , 1981 .
   Web of Science ®Google Scholar
• T. Basak , S. Roy , T. Paul , and I. Pop , Natural Convection in a Square Cavity Filled with a Porous Medium: Effect of Various Thermal Boundary Conditions , Int. J. Heat Mass Transfer , vol. 49 , pp. 1430 – 1441 , 2006 .
   Web of Science ®Google Scholar
• J. N. Reddy , An Introduction to the Finite Element Method , McGraw Hill , New York , 1993 .
   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
• R. Anandalakshmi and T. Basak , Analysis of Entropy Generation due to Natural Convection in Rhombic Enclosures , Ind. Eng. Chem. Res. , vol. 50 , pp. 13169 – 13189 , 2011 .
   Web of Science ®Google Scholar
• A. K. Al-Hadhrami , L. Elliott , and D. B. Ingham , A New Model for Viscous Dissipation in Porous Media Across a Range of Permeability Values, Trans. Porous Media , vol. 53, pp. 117–122, 2003.
   Web of Science ®Google Scholar
• K. Hooman and H. Gurgenci , Effects of Viscous Dissipation and Boundary Conditions on Forced Convection in a Channel Occupied by a Saturated Porous Medium , Trans. Porous Media , vol. 68 , pp. 301 – 319 , 2007 .
   Web of Science ®Google Scholar
• D. A. Nield , Resolution of a Paradox Involving Viscous Dissipation and Nonlinear Drag in a Porous Medium , Trans. Porous Media , vol. 41 , pp. 349 – 357 , 2000 .
   Web of Science ®Google Scholar
• D. A. Nield , Modelling Fluid Flow in Saturated Porous Media and At Interfaces , in D. B. Ingham and I. Pop (eds.), Transport Phenomena in Porous Media II , pp. 1 – 19 , Pergamon , Oxford , 2002 .
   Google Scholar
• K. Hooman , A. A. Merrikh , and A. Ejlali , Comments on Flow, Thermal, and Entropy Generation Characteristics Inside a Porous Channel with Viscous Dissipation by S. Mahmud and R. A. Fraser [Int. J. Thermal Sciences, 44, pp. 21–32, 2005] , Int. J. Therm. Sci. , vol. 46 , pp. 614 – 616 , 2007 .
   Web of Science ®Google Scholar
• B. Gebhart , Effects of Viscous Dissipation in Natural Convection , J. Fluid Mech. , vol. 14 , pp. 225 – 232 , 1962 .
   Web of Science ®Google Scholar
• A. C. Baytas , Entropy Generation for Natural Convection in an Inclined Porous Cavity , Int. J. Heat Mass Transfer , vol. 43 , pp. 2089 – 2099 , 2000 .
   Web of Science ®Google Scholar
• A. Bejan , Second Law Analysis in Heat Transfer , Energy , vol. 5 , pp. 720 – 732 , 1980 .
   Web of Science ®Google Scholar
• Y. Varol , H. F. Oztop , and I. Pop , Entropy Generation due to Natural Convection in Non-uniformly Heated Porous Isosceles Triangular Enclosures at Different Positions , Int. J. Heat Mass Transfer , vol. 52 , pp. 1193 – 1205 , 2009 .
   Web of Science ®Google Scholar
• L. B. Erbay , Z. Atlac , and B. Sulus , Entropy Generation in a Square Enclosure with Partial Heating from a Vertical Lateral Wall , Heat Mass Trans. , vol. 40 , pp. 909 – 918 , 2004 .
   Web of Science ®Google Scholar
• M. Famouri and K. Hooman , Entropy Generation for Natural Convection by Heated Partitions in a Cavity , Int. Comm. Heat Mass Transfer , vol. 35 , pp. 492 – 502 , 2008 .
   Web of Science ®Google Scholar
• G. G. Ilis , M. Mobedi , and B. Sunden , Effect of Aspect Ratio on Entropy Generation in a Rectangular Cavity with Differentially Heated Vertical Walls , Int. Comm. Heat Mass Transfer , vol. 35 , pp. 696 – 703 , 2008 .
   Web of Science ®Google Scholar
• D. Venturi , X. L. Wan , and G. E. Karniadakis , Stochastic Bifurcation Analysis of Rayleigh-Benard Convection , J. Fluid Mech. , vol. 650 , pp. 391 – 413 , 2010 .
   Web of Science ®Google Scholar