A Parametric Study of Prandtl Number Effects on Laminar Natural Convection Heat Transfer From a Horizontal Circular Cylinder to Its Coaxial Triangular Enclosure

REFERENCES

• D. Poulikakos and A. Bejan , The Fluid Dynamics of an Attic Space , J. Fluid Mech. , vol. 131 , pp. 251 – 269 , 1983 .
   Web of Science ®Google Scholar
• H. Asan and L. Namli , Laminar Natural Convection in a Pitched Roof of Triangular Cross-Section: Summer Day Boundary Conditions , Energy and Buildings , vol. 33 , pp. 69 – 73 , 2000 .
   Web of Science ®Google Scholar
• H. Asan and L. Namli , Numerical Simulation of Buoyant Flow in a Roof of Triangular Cross-Section under Winter Day Boundary Conditions , Energy and Buildings , vol. 33 , pp. 753 – 757 , 2001 .
   Web of Science ®Google Scholar
• P. M. Haese and M. D. Teubner , Heat Exchange in an Attic Space , Int. J. Heat and Mass Transfer , vol. 45 , pp. 4925 – 4936 , 2000 .
   Web of Science ®Google Scholar
• S. C. Tzeng , J. H. Liou , and R. Y. Jou , Numerical Simulation-Aided Parametric Analysis of Natural Convection in a Roof of Triangular Enclosures , Heat Transfer Eng. , vol. 26 , pp. 69 – 79 , 2005 .
   Web of Science ®Google Scholar
• E. H. Ridouane , A. Campo , and M. McGarry , Numerical Computation of Buoyant Airflows Confined to Attic Spaces under Opposing Hot and Cold Wall Conditions , Int. J. Therm. Sci. , vol. 44 , pp. 944 – 952 , 2005 .
   Web of Science ®Google Scholar
• Y. Varol , A. Koca , and H. F. Oztop , Natural Convection Heat Transfer in Gambrel Roofs , Building and Environment , vol. 42 , pp. 1291 – 1297 , 2007 .
   Web of Science ®Google Scholar
• H. F. Oztop , Y. Varol , and A. Koca , Laminar Natural Convection Heat Transfer in a Shed Roof with or without Eave for Summer Season , Appl. Therm. Eng. , vol. 27 , pp. 2252 – 2265 , 2007 .
   Web of Science ®Google Scholar
• E. Papanicolaou , K. Voropoulos , and V. Belessiotis , Natural Convective Heat Transfer in an Asymmetric Greenhouse-Type Solar Still: Effect of Angle of Inclination , Numer. Heat Transfer A , vol. 42 , pp. 855 – 880 , 2002 .
   Web of Science ®Google Scholar
• A. Omri , J. Orfi , and S. B. Nasrallah , Natural Convection Effects in Solar Stills , Desalination , vol. 183 , pp. 173 – 78 , 2005 .
   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 Conversion and Management , vol. 45 , pp. 391 – 409 , 2004 .
   Web of Science ®Google Scholar
• R. D. Flack , T. T. Konopnicki , and J. H. Rooke , The Measurement of Natural Convective Heat Transfer in Triangular Enclosures , J. Heat Transfer , vol. 101 , pp. 648 – 654 , 1979 .
   Web of Science ®Google Scholar
• R. D. Flack , The Experimental Measurement of Natural Convection Heat Transfer in Triangular Enclosures Heated or Cooled from Below , J. Heat Transfer , vol. 102 , pp. 770 – 772 , 1980 .
   Web of Science ®Google Scholar
• V. A. Akinsete and T. A. Coleman , Heat Transfer by Steady Laminar Free Convection in Triangular Enclosures , Int. J. Heat and Mass Transfer , vol. 25 , pp. 991 – 998 , 1982 .
   Web of Science ®Google Scholar
• D. Poulikakos and A. Bejan , Natural Convection Experiments in a Triangular Enclosure , J. Heat Transfer , vol. 105 , pp. 652 – 655 , 1983 .
   Web of Science ®Google Scholar
• E. M. del Campo , M. Sen , and E. Ramos , Analysis of Laminar Natural Convection in a Triangular Enclosure , Numer. Heat Transfer A , vol. 13 , pp. 353 – 372 , 1988 .
   Web of Science ®Google Scholar
• R. D. Flack , K. Brun , and R. J. Schnipke , Measurement and Prediction of Natural Convection Velocities in Triangular Enclosures, Int. J. Heat and Fluid Flow , vol. 16, pp. 106–113, 1995.
   Web of Science ®Google Scholar
• H. Salmun , Convection Patterns in a Triangular Domain , Int. J. Heat and Mass Transfer , vol. 38 , pp. 351 – 362 , 1995 .
   Web of Science ®Google Scholar
• H. Salmun , The Stability of a Single-Cell Steady-State Solution in a Triangular Enclosure , Int. J. Heat and Mass Transfer , vol. 38 , pp. 363 – 369 , 1995 .
   Web of Science ®Google Scholar
• G. A. Holtzman , R. W. Hill , and K. S. Ball , Laminar Natural Convection in Isosceles Triangular Enclosures Heated from Below and Symmetrically Cooled from Above , J. Heat Transfer , vol. 122 , pp. 485 – 491 , 2000 .
   Web of Science ®Google Scholar
• Y. S. Morsi and S. Das , Numerical Investigation of Natural Convection inside Complex Enclosures , Heat Transfer Eng. , vol. 24 , pp. 30 – 41 , 2003 .
   Web of Science ®Google Scholar
• E. H. Ridouane and A. Campo , Experimental-Based Correlations for the Characterization of Free Convection of Air inside Isosceles Triangular Cavities with Variable Apex Angles , Exper. Heat Transfer , vol. 18 , pp. 81 – 86 , 2005 .
   Web of Science ®Google Scholar
• E. H. Ridouane , A. Campo , and J. Y. Chang , Natural Convection Patterns in Right-Angled Triangular Cavities with Heated Vertical Sides and Cooled Hypotenuses , J. Heat Transfer , vol. 127 , pp. 1181 – 1186 , 2005 .
   Web of Science ®Google Scholar
• E. H. Ridouane and A. Campo , Formation of a Pitchfork Bifurcation in Thermal Convection Flow inside an Isosceles Triangular Cavity , Phys. of Fluids , vol. 18 , pp. 074102 , 2006 .
   Web of Science ®Google Scholar
• Y. Varol , A. Koca , and H. F. Oztop , Natural Convection in a Triangle Enclosure with Flush Mounted Heater on the Wall , Int. Comm. in Heat and Mass Transfer , vol. 33 , pp. 951 – 958 , 2006 .
   Web of Science ®Google Scholar
• E. Fuad Kent , E. Asmaz , and S. Ozerbay , Laminar Natural Convection in Right Triangular Enclosures , Heat and Mass Transfer , vol. 44 , pp. 187 – 200 , 2007 .
   Web of Science ®Google Scholar
• A. Omri , M. Najjari , and S. B. Nasrallah , Numerical Analysis of Natural Buoyancy-Induced Regimes in Isosceles Triangular Cavities , Numer. Heat Transfer A , vol. 52 , pp. 661 – 678 , 2007 .
   Web of Science ®Google Scholar
• Y. Varol , H. F. Oztop , and T. Yilmaz , Natural Convection in Triangular Enclosures with Protruding Isothermal Heater , Int. J. Heat and Mass Transfer , vol. 50 , pp. 2451 – 2462 , 2007 .
   Web of Science ®Google Scholar
• T. Basak , S. Roy , and Ch. Thirumalesha , Finite Element Analysis of Natural Convection in a Triangular Enclosure: Effects of Various Thermal Boundary Conditions , Chem. Eng. Sci. , vol. 62 , pp. 2623 – 2640 , 2007 .
   Web of Science ®Google Scholar
• T. Basak , S. Roy , S. K. Babu , and A. R. Balakrishnan , Finite Element Analysis of Natural Convection Flow in an Isosceles Triangular Enclosure due to Uniform and Non-Uniform Heating at the Side Walls , Int. J. Heat and Mass Transfer , vol. 51 , pp. 4496 – 4505 , 2008 .
   Web of Science ®Google Scholar
• S. Roy , T. Basak , Ch. Thirumalesha , and Ch. M. Krishna , Finite Element Simulation on Natural Convection Flow in a Triangular Enclosure due to Uniform and Nonuniform Bottom Heating , J. Heat Transfer , vol. 130 , pp. 032501 , 2008 .
   Web of Science ®Google Scholar
• A. Koca , H. F. Oztop , and Y. Varol , The Effects of Prandtl Number on Natural Convection in Triangular Enclosures with Localized Heating from Below , Int. Comm. in Heat and Mass Transfer , vol. 34 , pp. 511 – 519 , 2007 .
   Web of Science ®Google Scholar
• X. Xu , Z. Yu , Y. Hu , L. Fan , and K. Cen , A Numerical Study of Laminar Natural Convective Heat Transfer around a Horizontal Cylinder inside a Concentric Air-Filled Triangular Enclosure , Int. J. Heat and Mass Transfer , vol. 53 , pp. 345 – 355 , 2010 .
   Web of Science ®Google Scholar
• M. Yang and W. Q. Tao , Numerical Study of Natural Convection Heat Transfer in a Cylindrical Envelope with Internal Concentric Slotted Hollow Cylinder , Numer. Heat Transfer A , vol. 22 , pp. 289 – 305 , 1992 .
   Web of Science ®Google Scholar
• N. K. Ghaddar , Natural Convection Heat Transfer between a Uniformly Heated Cylindrical Element and Its Rectangular Enclosure, Int. J. Heat and Mass Transfer , vol. 35, pp. 2327–2334, 1992.
   Web of Science ®Google Scholar
• F. Moukalled and H. Diab , Laminar Natural Convection in a Horizontal Rhombic Annulus , Numer. Heat Transfer A , vol. 24 , pp. 89 – 107 , 1993 .
   Web of Science ®Google Scholar
• J. S. Yoo , J. Y. Choi , and M. U. Kim , Multicellular Natural Convection of a Low Prandtl Number Fluid between Horizontal Concentric Cylinders , Numer. Heat Transfer A , vol. 25 , pp. 103 – 115 , 1994 .
   Web of Science ®Google Scholar
• G. Guj and F. Stella , Natural Convection in Horizontal Eccentric Annuli: Numerical Study , Numer. Heat Transfer A , vol. 27 , pp. 89 – 105 , 1995 .
   Web of Science ®Google Scholar
• J. D. Chung , C. J. Kim , H. Yoo , and J. S. Lee , Numerical Investigation on the Bifurcative Natural Convection in a Horizontal Concentric Annulus , Numer. Heat Transfer , vol. 36 , pp. 291 – 307 , 1999 .
   Web of Science ®Google Scholar
• C. Y. Han , S. W. Baek , Natural Convection Phenomena Affected by Radiation in Concentric and Eccentric Horizontal Cylindrical Annuli , Numer. Heat Transfer A , vol. 36 , pp. 473 – 488 , 1999 .
   Web of Science ®Google Scholar
• G. Cesini , M. Paroncini , G. Cortellab , and M. Manzan , Natural Convection from a Horizontal Cylinder in a Rectangular Cavity , Int. J. Heat and Mass Transfer , vol. 42 , pp. 1801 – 1811 , 1999 .
   Web of Science ®Google Scholar
• C. Shu , K. S. Yeo , and Q. Yao , An Efficient Approach to Simulate Natural Convection in Arbitrarily Eccentric Annuli by Vorticity-Stream Function Formation , Numer. Heat Transfer A , vol. 38 , pp. 739 – 756 , 2000 .
   Web of Science ®Google Scholar
• C. Shu , H. Xue , and Y. D. Zhu , Numerical Study of Natural Convection in an Eccentric Annulus between a Square Outer Cylinder and a Circular Inner Cylinder using DQ Method , Int. J. Heat and Mass Transfer , vol. 44 , pp. 3321 – 3333 , 2001 .
   Web of Science ®Google Scholar
• Y. L. Wu , C. Shu , H. Q. Chen , and N. Zhao , Radial Basis Function-Enhanced Domain-Free Discretizaton Method and its Application , Numer. Heat Transfer B , vol. 46 , pp. 269 – 282 , 2004 .
   Web of Science ®Google Scholar
• B. S. Kim , D. S. Lee , M. Y. Ha , and H. S. Yoon , A Numerical Study of Natural Convection in a Square Enclosure with a Circular Cylinder at Different Vertical Locations , Int. J. Heat and Mass Transfer , vol. 51 , pp. 1888 – 1906 , 2008 .
   Web of Science ®Google Scholar
• M. A. Waheed , An Appoarch to the Simulation of Natural-Convective Heat Transfer between Two Concentric Horizontal Cylindrical Annuli , Numer. Heat Transfer A , vol. 53 , pp. 323–340 , 2008 .
   Google Scholar
• X. Xu , G. Sun , Z. Yu , Y. Hu , L. Fan , and K. Cen , Numerical Investigation of Laminar Natural Convective Heat Transfer from a Horizontal Triangular Cylinder to its Concentric Cylindrical Enclosure , Int. J. Heat and Mass Transfer , vol. 52 , pp. 3176 – 3186 , 2009 .
   Web of Science ®Google Scholar
• J. R. Custer and E. J. Shaughnessy , Thermoconvective Motion of Low Prandtl Number Fluids within a Horizontal Cylindrical Annulus , J. Heat Transfer , vol. 99 , pp. 596 – 602 , 1977 .
   Web of Science ®Google Scholar
• J.-S. Yoo , J. Y. Choi , and M.-U. Kim , Multicellular Natural Convection of a Low Prandtl Number Fluid between Horizontal Concentric Cylinders , Numer. Heat Transfer A , vol. 25 , pp. 103 – 115 , 1994 .
   Web of Science ®Google Scholar
• J.-S. Yoo , Natural Convection in a Narrow Horizontal Cylindrical Annulus: Pr ≤ 0.3 , Int. J. Heat and Mass Transfer , vol. 41 , pp. 3055 – 3073 , 1998 .
   Web of Science ®Google Scholar
• T. H. Kuehn and R. J. Goldstein , A Parametric Study of Prandtl Number and Diameter Ratio Effects on Natural Convection Heat Transfer in Horizontal Cylindrical Annuli , J. Heat Transfer , vol. 102 , pp. 768 – 770 , 1980 .
   Web of Science ®Google Scholar
• U. Projahn and H. Beer , Prandtl Number Effects on Natural Convection Heat Transfer in Concentric and Eccentric Horizontal Cylindrical Annuli , Heat and Mass Transfer , vol. 19 , pp. 249 – 254 , 1985 .
   Google Scholar
• H. Bertin , and H. Ozoe , Numerical Study of Two-Dimensional Natural Convection in a Horizontal Fluid Layer Heated from Below , by Finite-Element Method: Influence of Prandtl Number, Int. J. Heat and Mass Transfer , vol. 29, pp. 439–449, 1986.
   Web of Science ®Google Scholar
• J.-S. Yoo , Prandtl Nnumber Effect on Transition of Free-Convective Flows in a Wide-Gap Horizontal Annulus , Int. Comm. in Heat and Mass Transfer , vol. 26 , pp. 811 – 817 , 1999 .
   Web of Science ®Google Scholar
• J.-S. Yoo , Prandtl Number Effect on Bifurcation and Dual Solutions in Natural Convection in a Horizontal Annulus , Int. J. Heat and Mass Transfer , vol. 42 , pp. 3279 – 3290 , 1999 .
   Web of Science ®Google Scholar