Convection-Radiation Interaction in 3-D Irregular Enclosures Using the Least Squares Finite Element Method

REFERENCES

• R. Viskanta , Radiation Transfer and Interaction of Convection with Radiation Heat Transfer , Advances in Heat Transfer , vol. 3 , pp. 175 – 251 , 1966 .
   Google Scholar
• Y. Yener , B. Shahidi-Zandi , and M. Ozisik , Simultaneous Radiation and Forced Convection in Thermally Developing Turbulent Flow Through a Parallel-Plate Channel , American Society of Mechanical Engineers , vol. 1 , pp. 57 – 65 , 1984 .
   Google Scholar
• C. Krishnaprakas , K. B. Narayana , and P. Dutta , Combined Convective and Radiative Heat Transfer in Turbulent Tube Flow , J. Thermophysics and Heat Transfer , vol. 13 , pp. 390 – 394 , 1999 .
   Web of Science ®Google Scholar
• B. Zheng , C. X. Lin , and M. A. Ebadian , Combined Turbulent Forced Convection and Thermal Radiation in a Curved Pipe with Uniform Wall Temperature , Numer. Heat Transfer A , vol. 44 , pp. 149 – 167 , 2003 .
   Web of Science ®Google Scholar
• A. Seelmann , P. Hauschildt , and E. Baron , A 3-D Radiative Transfer Framework: VII. Arbitrary Velocity Fields in the Eulerian Frame , Astronomy & Astrophysics , vol. 522 , pp. 1 – 4 , 2010 .
   Google Scholar
• B. Mondal and X. Li , Effect of Volumetric Radiation on Natural Convection in a Square Cavity using Lattice Boltzmann Method with Non-Uniform Lattices , Int. J. Heat and Mass Transfer , vol. 53 , pp. 4935 – 4948 , 2010 .
   Web of Science ®Google Scholar
• M. M. Molla , S. C. Saha , and M. A. Hossain , Radiation Effect on Free Convection Laminar Flow along a Vertical Flat Plate with Streamwise Sinusoidal Surface Temperature , Mathematical and Computer Modelling , vol. 53 , pp. 1310 – 1319 , 2011 .
   Web of Science ®Google Scholar
• A. Aziz , and R. J. Lopez , Convection-Radiation from a Continuously Moving , Variable Thermal Conductivity Sheet or Rod Undergoing Thermal Processing , Int. J. Thermal Sciences , vol. 50 , pp. 1523 – 1531 , 2011 .
   Web of Science ®Google Scholar
• M. Atashafrooz and S. A. Gandjalikhan Nassab , Numerical Analysis of Laminar Forced Convection Recess Flow with Two Inclined Steps Considering Gas Radiation Effect , Computers & Fluids , vol. 66 , pp. 167 – 176 , 2012 .
   Web of Science ®Google Scholar
• A. Ansari and S. G. Nassab , Combined Gas Radiation and Laminar Forced Convection Flow Adjacent to a Forward Facing Step in a Duct , Int. J. Numerical Methods for Heat & Fluid Flow , vol. 23 , pp. 320 – 335 , 2013 .
   Web of Science ®Google Scholar
• G. Krishnamoorthy , R. Rawat , and P. J. Smith , Parallel Computations of Radiative Heat Transfer using the Discrete Ordinates Method , Numer. Heat Transfer B , vol. 47 , pp. 19 – 38 , 2004 .
   Web of Science ®Google Scholar
• K. H. Lee and R. Viskanta , Two-Dimensional Combined Conduction and Radiation Heat Transfer: Comparison of the Discrete Ordinates Method and the Diffusion Approximation Methods , Numer. Heat Transfer A , vol. 39 , pp. 205 – 225 , 2001 .
   Web of Science ®Google Scholar
• N. Selçuk and I. Ayrancı , The Method of Lines Solution of the Discrete Ordinates Method for Radiative Heat Transfer in Enclosures Containing Scattering Media , Numer. Heat Transfer B , vol. 43 , pp. 179 – 201 , 2003 .
   Web of Science ®Google Scholar
• J. C. Chai , One-Dimensional Transient Radiation Heat Transfer Modeling using a Finite-Volume Method , Numer. Heat Transfer B , vol. 44 , pp. 187 – 208 , 2003 .
   Web of Science ®Google Scholar
• G. Raithby , Discussion of the Finite-Volume Method for Radiation , and its Application using 3-D Unstructured Meshes , Numer. Heat Transfer B , vol. 35 , pp. 389 – 405 , 1999 .
   Web of Science ®Google Scholar
• K. Slimi , L. Zili-Ghedira , S. Ben Nasrallah , and A. Mohamad , A Transient Study of Coupled Natural Convection and Radiation in a Porous Vertical Channel using the Finite-Volume Method , Numer. Heat Transfer A , vol. 45 , pp. 451 – 478 , 2004 .
   Web of Science ®Google Scholar
• M. Lobo and A. Emery , The Discrete Maximum Principle in Finite-Element Thermal Radiation Analysis , Numer. Heat Transfer B , vol. 24 , pp. 209 – 227 , 1993 .
   Web of Science ®Google Scholar
• J. Daurelle , R. Occelli , and R. Martin , Finite-Element Modeling of Radiation Heat Transfer Coupled with Conduction in an Adaptive Method , Numer. Heat Transfer B , vol. 25 , pp. 61 – 73 , 1994 .
   Web of Science ®Google Scholar
• X. Cui and B. Q. Li , A Discontinuous Finite-Element Formulation for Internal Radiation Problems , Numer. Heat Transfer B , vol. 46 , pp. 223 – 242 , 2004 .
   Web of Science ®Google Scholar
• C. H. Amon and B. B. Mikic , Spectral Element Simulations of Unsteady Forced Convective Heat Transfer: Application to Compact Heat Exchanger Geometries , Numer. Heat Transfer , vol. 19 , pp. 1 – 19 , 1991 .
   Web of Science ®Google Scholar
• M. Razzaque , D. Klein , and J. Howell , Finite Element Solution of Radiative Heat Transfer in a Two-Dimensional Rectangular Enclosure with Gray Participating Media , ASME Trans. J. Heat Transfer , vol. 105 , pp. 933 – 936 , 1983 .
   Web of Science ®Google Scholar
• P. Furmanski and J. Banaszek , Finite Element Analysis of Concurrent Radiation and Conduction in Participating Media , J. Quantitative Spectroscopy and Radiative Transfer , vol. 84 , pp. 563 – 573 , 2004 .
   Web of Science ®Google Scholar
• C. K. W. Tam , W. Fiveland , and J. Jessee , Finite Element Formulation of the Discrete-Ordinates Method for Multidimensional Geometries , J. Thermophysics and Heat Transfer , vol. 8 , pp. 426 – 433 , 1994 .
   Web of Science ®Google Scholar
• J. Pontaza and J. Reddy , Least-Squares Finite Element Formulations for One-Dimensional Radiative Transfer , J. Quantitative Spectroscopy and Radiative Transfer , vol. 95 , pp. 387 – 406 , 2005 .
   Web of Science ®Google Scholar
• J. Y. Tan , L. H. Liu , and B. X. Li , Least-Squares Collocation Meshless Approach for Coupled Radiative and Conductive Heat Transfer , Numer. Heat Transfer B , vol. 49 , pp. 179 – 195 , 2006 .
   Web of Science ®Google Scholar
• J. Zhao and L. Liu , Least-Squares Spectral Element Method for Radiative Heat Transfer in Semitransparent Media , Numer. Heat Transfer B , vol. 50 , pp. 473 – 489 , 2006 .
   Web of Science ®Google Scholar
• L. H. Liu , Least-Squares Finite Element Method for Radiation Heat Transfer in Graded Index Medium , J. Quantitative Spectroscopy and Radiative Transfer , vol. 103 , pp. 536 – 544 , 2007 .
   Web of Science ®Google Scholar
• L. Ruan , W. An , H. Tan , and H. Qi , Least-Squares Finite-Element Method of Multidimensional Radiative Heat Transfer in Absorbing and Scattering Media , Numer. Heat Transfer A , vol. 51 , pp. 657 – 677 , 2007 .
   Web of Science ®Google Scholar
• J. M. Zhao , J. Y. Tan , and L. H. Liu , A Deficiency Problem of the Least Squares Finite Element Method for Solving Radiative Transfer in Strongly Inhomogeneous Media , J. Quantitative Spectroscopy and Radiative Transfer , vol. 113 , pp. 1488 – 1502 , 2012 .
   Web of Science ®Google Scholar
• H. Sadat , C.-A. Wang , and V. Le Dez , Meshless Method for Solving Coupled Radiative and Conductive Heat Transfer in Complex Multi-Dimensional Geometries , Appl. Mathematics and Computation , vol. 218 , no. 20 . pp 10211 – 10225 . 2012 .
   Web of Science ®Google Scholar
• P. Talukdar , F. V. Issendorff , D. Trimis , and C. J. Simonson , Conduction–Radiation Interaction in 3-D Irregular Enclosures using the Finite Volume Method , Heat and Mass Transfer , vol. 44 , pp. 695 – 704 , 2008 .
   Web of Science ®Google Scholar
• M. Schäfer , S. Turek , F. Durst , E. Krause , and R. Rannacher , Benchmark Computations of Laminar Flow Around a Cylinder , Notes on Numer. Fluid Mechanics , vol. 52 , pp. 547 – 566 , 1996 .
   Google Scholar
• Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/unht.
   Google Scholar