MIXED CONVECTION WITHIN VERTICAL PARALLEL PLATES: HYBRID SOLUTION BY INTEGRAL TRANSFORMS

References

• R. K. Shah and A. L. London , Laminar Flow Forced Convection in Ducts , Adv. Heat Transfer, Suppl. 1 , 1978 .
   Google Scholar
• R. K. Shah and M. S. Bhatti , Laminar Convective Heat Transfer in Ducts , in S. Kakaç ; R. K. Shah , and W. Aung (eds.), Handbook of Single-Phase Connective Heat Transfer , Chap. 3 , John Wiley , New York , 1987 .
   Google Scholar
• W. J. Minkowycz , E. M. Sparrow , G. E. Schneider , R. H. Pletcher (eds.), Handbook of Numerical Heat Transfer , John Wiley , New York , 1988 .
   Google Scholar
• B. Metais and E. R. G. Eckert , Forced, Mixed and Free Convection Regimen , ASME J. Heat Transfer , vol. 36 , pp. 295 – 296 , 1964 .
   Google Scholar
• B. Zeldin and F. W. Schmidt , Developing Flow with Combined Forced-Free Convection in an Isothermal Vertical Tube , ASME J. Heat Transfer , pp. 211 – 223 , May 1972 .
   Google Scholar
• J. Quintiere and W. K. Mueller , An Analysis of Laminar Free and Forced Convection Between Finite Vertical Parallel Plates , ASME J. Heat Transfer , pp. 53 – 59 , Feb. 1973 .
   Web of Science ®Google Scholar
• L. S. Yao , Free and Forced Convection in the Entry Region of a Heated Vertical Channel , Int. J. Heat Mass Transfer , vol. 26 , no. 1 , pp. 65 – 72 , 1983 .
   Web of Science ®Google Scholar
• A. M. Dalbert , Natural, Mixed and Forced Convection in a Vertical Channel with Asymmetric Uniform Heating , Proc. of the 7th International Heat Transfer Conference , pp. 431 – 434 , 1982 .
   Google Scholar
• T. Cebeci , A. A. Khattab , and R. LaMont , Combined Natural and Forced Convection in Vertical Ducts , Proc. of the 7th International Heat Transfer Conference , pp. 419 – 424 , 1982 .
   Google Scholar
• W. Aung and G. Worku , Developing Flow and Flow Reversal in a Vertical Channel with Asymmetric Wall Temperatures , ASME J. Heat Transfer , vol. 108 , pp. 299 – 304 , 1986 .
   Web of Science ®Google Scholar
• D. B. Ingham , D. J. Keen , and P. J. Heggs , Flows in Vertical Channels wiUi Asymmetric Wall Temperatures and Including Situations Where Reverse Flows Occur , ASME J. Heat Transfer , vol. 110 , pp. 910 – 917 , 1988 .
   Web of Science ®Google Scholar
• W. Aung and G. Worku , Theory of Fully Developed, Combined Convection Including Flow Reversal , ASME J. Heat Transfer , vol. 108 , pp. 485 – 488 , 1988 .
   Web of Science ®Google Scholar
• T. T. Hamadah and R. A. Wirtz , Analysis of Laminar Fully Developed Mixed Convection in a Vertical Channel with Opposing Buoyancy , ASME J. Heat Transfer , vol. 113 , pp. 507 – 510 , 1991 .
   Web of Science ®Google Scholar
• S. Habchi and S. Acharya , Laminar Mixed Convection in a Symmetrically or Asymmetrically Heated Vertical Channel , Numer. Heat Transfer , vol. 9 , pp. 605 – 618 , 1986 .
   Google Scholar
• C. Gau , K. A. Yih , and W. Aung , Reversed Flow Structure and Heat Transfer Measurement for Buoyancy-Assisted Convection in a Heated Vertical Duct , ASME J. Heat Transfer , vol. 114 , pp. 928 – 935 , 1992 .
   Web of Science ®Google Scholar
• Y. N. Jeng , J. L. Chen , W , Aung , On the Reynolds–Number Independence of Mixed Convection in a Vertical Channel Subjected to Asymmetric Wall Temperatures with and Without Flow Reversal , Int. J. Heat Fluid Flow , vol. 13 , pp. 329 – 339 , 1992 .
   Web of Science ®Google Scholar
• R. M. Cotta , Integral Transforms in Computational Heat and Fluid Flow , CRC Press , Boca Raton , Fla. , 1993 .
   Google Scholar
• R. M. Cotta , Benchmark Results in Computational Heat and Fluid Flow—The Integral Transform Method , Int. J. Heat Mass Transfer , vol. 37 , suppl. 1 , pp. 381 – 394 , 1994 .
   Web of Science ®Google Scholar
• R. M. Cotta , The Integral Transform Method in Computational Heat and Fluid Flow, Special Keynote Lecture, Proc. of the 10th International Heat Transfer Conference , Brighton , UK , vol. 1, SK-3 , pp. 43 – 60 , August 1994 .
   Google Scholar
• R. M. Cotta and T. M. B. Carvalho , Hybrid Analysis of Boundary Layer Equations for Internal Flow Problems, Proc. of the 7th International Conference on Numerical Methods in Laminar and Turbulent Flow , Stanford , Calif. , part 1 , pp. 106 – 115 , July 1991 .
   Google Scholar
• T. M. B. Carvalho , R. M. Cotta , and M. D. Mikhailov , Flow Development in the Entrance Region of Ducts , Commun. Numer. Methods Eng. , vol. 9 , pp. 503 – 509 , 1993 .
   Google Scholar
• H. A. Machado and R. M. Cotta , Integral Transform Method for Boundary Layer Equations in Simultaneous Heat and Fluid Flow Problems , Int. J. Numer. Methods Heat Fluid Flow , vol. 5 , pp. 225 – 237 , 1995 .
   Web of Science ®Google Scholar
• J. S. Perez Guerrero and R. M. Cotta , Integral Transform Method for Navier-Stokes Equations in Streamfunction-Only Formulation , Int. J. Numer. Methods Fluids , vol. 15 , pp. 399 – 409 , 1992 .
   Web of Science ®Google Scholar
• R. M. Cotta , J. S. Perez Guerrero , F. Scofano Neto , Hybrid Solution of the Incompressible Navier-Stokes Equations via Integral Transformation, Proc. of the 2nd International Conference on Advanced Computer Methods in Heat Transfer, “Heat Transfer 92” , Milan , Italy , vol. 1 , pp. 735 – 750 , July 1992 .
   Google Scholar
• C. Baohua and R. M. Cotta , Integral Transform Analysis of Natural Convection in Porous Enclosures , Int. J. Numer. Methods Fluids , vol. 17 , pp. 787 – 801 , 1993 .
   Web of Science ®Google Scholar
• J. S. Perez Guerrero , R. M. Cotta , F. Scofano Neto , Integral Transformation of Navier-Stokes Equations for Incompressible Laminar Flow in Channels, Proc. of the 8th International Conference on Numerical Methods in Laminar and Turbulent Flow , Swansea , UK , vol. 2 , pp. 1195 – 1206 , July 1993 .
   Google Scholar
• J. S. Perez Guerrero and R. M. Cotta , Integral Transform Solution of Developing Laminar Duct Flow in Navier-Stokes Formulation , Int. J. Numer. Methods Fluids , vol. 20 , pp. 1203 – 1213 , 1995 .
   Web of Science ®Google Scholar
• E. Figueira da Silva , Integral Transfonnation of the Boundary Layer Equations for Internal Convection in the Streamfunction and Primitive Variables Formulations (in Portuguese) , M.Sc. thesis , Mechanical Engineering Dept., COPPE/UFRJ , Rio de Janeiro , Brazil , 1994 .
   Google Scholar
• Address correspondence to E. Figueira da Silva, Brazilian Nuclear Energy Commission (CNEN), Rua General Severiano, 90-Anexo, 22.294-900 Rio de Janeiro, RJ, Brazil. E-mail: [email protected]
   Google Scholar