NUMERICAL STUDY OF TRANSIENT CONJUGATED MIXED CONVECTION IN A VERTICAL PIPE

References

• L. N. Tao , On Combined Free and Forced Convection in Channels , J. Heat Transfer , vol. 82 , pp. 233 – 238 , 1960 .
   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 , pp. 65 – 72 , 1983 .
   Web of Science ®Google Scholar
• J. Quintiere and W. K. Muller , An Analysis of Laminar Free and Forced Convection between Finite Vertical Parallel Plates , J. Heat Transfer , vol. 95 , pp. 53 – 59 , 1973 .
   Google Scholar
• W. Aung and G. Worku , Theory of Fully Developed Combined Convection Including Flow Reversal , J. Heat Transfer , vol. 108 , pp. 485 – 488 , 1986 .
   Web of Science ®Google Scholar
• S. Habchi and S. Acharya , Laminar Mixed Convection in Asymmetrically or Symetrically Heated Vertical Channel , Numer. Heat Transfer , vol. 9 , pp. 605 – 618 , 1986 ,
   Google Scholar
• W. Aung and G. Worku , Developing Flow and Flow Reversal in a Vertical Channel with Asymmetric Wall Temperature , j. Heat Transfer , vol. 105 , pp. 299 – 304 , 1986 .
   Google Scholar
• W. Aung and G. Worku , Mixed Convection in Ducts with Asymmetric Wall Heat Fluxes , J. Heal Transfer , vol. 109 , pp. 947 – 951 , 1987 .
   Google Scholar
• W. J. Marner and H. K. McMillan , Combined Free and Forced Laminar Convection in a Vertical Tube with Constant Wall Temperature , J. Heat Transfer , vol. 92 , pp. 559 – 562 , 1970 .
   Web of Science ®Google Scholar
• B. R. Morton , D. B. Ingham , D. J. Keen , and P. J. Heggs , Recirculating Combined Convection in Laminar Pipe Flow , j. Heat Transfer , vol. 111 , pp. 106 – 113 , 1989 .
   Google Scholar
• W. T. Lawrence and J. C. Chato , Heat Transfer Effects on the Developing Laminar Flow inside Vertical Tube , J. Heat Transfer , vol. 88 , pp. 214 – 222 , 1966 .
   Web of Science ®Google Scholar
• B. Zeldin and F. W. Schmidt , Developing Flow with Combined Free-Forced Convection in an Isothermal Vertical Tube , J. Heat Transfer , vol. 94 , pp. 211 – 213 , 1972 .
   Web of Science ®Google Scholar
• H. Tanaka , S. Maruyama , and S. Hatano , Combined Forced and Natural Convection Heat Transfer for Upward Flow in a Uniformly Heated Vertical Pipe , Int. J, Heat Mass Transfer , vol. 30 , pp. 165 – 174 , 1987 .
   Web of Science ®Google Scholar
• Y. N. Jeng , J. L. Chen , and W. Aung , On the Reynolds Number Independence of Mixed Convection in Vertical Channel Subjected to Asymmetric Wall Temperature with and without Flow Reversal , Int. J. Heat Fluid Flow , vol. 13 , pp. 329 – 339 , 1992 .
   Web of Science ®Google Scholar
• T. Burch , T. Rhodes , and S. Acharya , Laminar Natural Convection between Finitely Conducting Vertical Plates , Int. J. Heat Mass Transfer , vol. 28 , pp. 1173 – 1186 , 1985 .
   Web of Science ®Google Scholar
• S. H. Kim , N. H. Anand , and W. Aung , Effect of Wall Conduction on Free Convection between Asymmetrically Heated Vertical Plates Uniform Wall Heat Flux , Int. J. Heat Mass Transfer , vol. 33 , pp. 1013 – 1023 , 1990 .
   Web of Science ®Google Scholar
• N. K. Anand , S. H. Kim , and W. Aung , Effect of Wall Conduction on Free Convection between Asymmetrically Heated Vertical Plates Uniform Wall Temperature , Int. J. Heat Mass Transfer , vol. 33 , pp. 1025 – 1028 , 1990 .
   Web of Science ®Google Scholar
• P. J. Heggs , D. B. Ingham , and D. J. Keen , The Effects of Heat Conduction in the Wall on the Development of Recirculating Combined Convection Flows in Vertical Tubes , Int. J. Heat Mass Transfer , vol. 33 , pp. 517 – 528 , 1990 .
   Web of Science ®Google Scholar
• T. F. Lin , C. P. Yin , and W. M. Yan , Transient Laminar Mixed Convection Heat Transfer in Vertical Flat Ducts , J. Heat Transfer , vol. 113 , pp. 384 – 390 , 1991 .
   Google Scholar
• J. Sucec , An Improved Quasi-Steady Approach for Transient Conjugated Forced Convection Problem , Int. J. Heat Mass Transfer , vol. 24 , pp. 1711 – 1722 , 1981 .
   Web of Science ®Google Scholar
• J. Sucec , Unsteady Conjugated Forced Convection Heat Transfer in a Duct with Convection from the Ambient , Int. J. Heat Mass Transfer , vol. 30 , pp. 1963 - 1970 , 1987 .
   Google Scholar
• J. Sucec , Exact Solution for Unsteady Conjugated Heat Transfer in the Thermal Entrance Region of a Duct , j. Heat Transfer , vol. 109 , pp. 295 – 299 , 1987 .
   Web of Science ®Google Scholar
• J. Sucec and A. M. Sawant , Unsteady, Conjugated, Forced Convection Heat Transfer in a Parallel Plate Duct , Int. J. Heat Mass Transfer , vol. 27 , pp. 95 – 101 , 1984 .
   Web of Science ®Google Scholar
• T. F. Lin and J. C. Kuo , Transient Conjugated Heat Transfer in Fully Developed Laminar Pipe Flows , Int. J. Heat Mass Transfer , vol. 31 , pp. 1093 – 1102 , 1988 .
   Web of Science ®Google Scholar
• K. T. Lee and W. M. Yan , Transient Conjugated Forced Convection Heat Transfer with Fully Developed Laminar Flow in Pipe , Numer. Heat Transfer , vol. 23 , pp. 341 – 359 , 1993 .
   Web of Science ®Google Scholar
• S. V. Patanka , Numerical Heat Transfer and Fluid Flow , chaps. 4 and 5 , Hemisphere/McGraw-Hil , New York , 1980 .
   Google Scholar
• S. C. Chen , N. K. Anand , and D. R. Tree , Analysis of Transient Laminar Convective Heat Transfer inside a Circular Duct , j. Heat Transfer , vol. 105 , pp. 922 – 924 , 1983 .
   Web of Science ®Google Scholar