Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 24, 1993 - Issue 3
24
Views
16
CrossRef citations to date
0
Altmetric
Original Articles

A PHYSICAL APPROACH TO FINITE-ELEMENT MODELING OF COUPLED CONDUCTION AND CONVECTION

, &
Pages 243-261 | Received 13 Mar 1993, Accepted 11 May 1993, Published online: 07 May 2007

References

  • E. A. Thornton and A. R. Wieting , Finite Element Methodology for Thermal Analysis of Convectively-Cooled Structures , in L. S. Fletcher (ed.) , Heat Transfer and Thermal Control Systems , vol. 60 , pp. 171 – 189 , 1977 .
  • E. A. Thornton and A. R. Wieting , Finite Element Methodology for Transient Conduction/ Forced Convection Thermal Analysis , AIAA Paper 79–100 , ALAA 14th Thermophysical Conference , Orlando , Fla. , 1979 .
  • E. A. Thornton , Application of Upwind Convective Finite Elements to Practical Conduction/Forced Convection Thermal Analysis , in R. W. Lewis and K. Morgan (eds.) , Numerical Methods in Thermal Problems , Pineridge Press . Swansea , U.K. , vol. I , pp. 402 – 411 , 1979 .
  • E. A. Thornton and A. R. Wieting , Evaluation of Finite-Element Formulations for Transient Conduction Forced-Convection Analysis , Numer. Heat Transfer , vol. 3 , pp. 281 – 295 , 1980 .
  • E. A. Thornton , P. Dechaumhai , and K. K. Tamma , Exact Finite Element Solutions for Linear Steady-State Thermal Problems , in R. W. Lewis, K. Morgan, and B. A. Schrefler (eds.) , Numerical Methods in Heat Transfer , Wiley , Chichester , U.K. , vol. 11 , pp. 37 – 52 , 1983 .
  • J. H. Chin and D. R. Frank , Engineering Finite Element Analysis of Conduction, Convection and Radiation , in R. W. Lewis (ed.) , Numerical Methods in Heat Transfer , Wiley , Chichester , U.K. , vol. III , 215 – 229 , 1984 .
  • J. H. Chin and D. R. Frank , Finite Element Modeling of Engineering Coupled Conduction-Convection Problems , in R. W. Lewis and K. Morgan (eds.) , Numerical Methods in Thermal Problems , Pineridge Press , Swansea , U.K. , vol. IV , part 1 , pp. 436 – 445 , 1985 .
  • M. B. Hsu , Simulation of Gaps and Channels in Conductive Solid Heat Transfer , in R. W. Lewis, K. Morgan, and W. G. Habashi (eds.) , Numerical Methods in Thermal Problems , Pineridge Press , Swansea , U.K. , vol. V , part 2 , pp. 1307 – 1314 , 1987 .
  • R. W. Lewis , W. K. Sze , and H. C. Huang , Some Novel Techniques for the Finite Element Analysis of Heat and Mass Transfer Problems , Int. J. Numer. Meth. Eng. , vol. 25 , pp. 611 – 624 , 1988 .
  • P. L. Stephenson , A Comparison of Various Finite Element Methods for the Solution of Coupled Conduction-Convection Problems , in R. W. Lewis, J. A. Johnson, and W. R. Smith (eds.) , Numerical Methods in Thermal Problems , Pineridge Press , Swansea , U.K. , vol. III , pp. 695 – 704 , 1983 .
  • C. R. Gane , A. J. Oliver , D. R. Sousby , and P. L. Stephenson , Numerical Solution of Coupled Conduction-Convection Problems Using Lumped Parameter Methods , in R. W. Lewis, K. Morgan, and B. A. Schrefler (eds.) , Numerical Methods in Heat Transfer , Wiley , Chichester , U.K. , vol. II , pp. 227 – 274 , 1983 .
  • G. Comini , S. Del Giudice , A Physical Interpretation of Conventional Finite Element Formulations of Conduction-Type Problems , Int. J. Numer. Meth. Eng. , vol. 32 , pp. 559 – 569 , 1991 .
  • S. Del Giudice , G. Comini , and C. Nonino , A Physical Interpretation of Conservative and Non-Conservative Finite Element Formulations of Convection-Type Problems , Int. J. Numer. Meth. Eng. , vol. 35 , pp. 709 – 727 , 1992 .
  • O. C. Zienkiewicz and R. L. Taylor , The Finite Element Method , McGraw-Hill , London , vol. 2 , chaps. 10 and 12 , 1991 .
  • A. C. Hindmarsh , P. M. Gresho , and D. F. Griffiths , The Stability of Explicit Euler Time-Integration Algorithms for Certain Finite Difference Approximations of the Multi-Dimensional Advection-Diffusion Equation , Int. J. Numer. Meth. Fluids , vol. 4 , pp. 853 – 897 , 1984 .
  • L. Agnoletto , M. Manzan , and O. Saro , Convection and Conduction in Buildings (in Italian) , 47° Congresso Nazionale ATI , vol. I , pp. 591 – 602 , 1992 .
  • N. G. Gong , G. R. Li , and R. W. Lewis , The Finite Element Analysis of the Cooling of Concrete with Embedded Water Pipes , in R. W. Lewis and K. Morgan (eds.) , Numerical Methods in Thermal Problems , Pineridge Press , Swansea , U.K. , vol. VI , part 2 , pp. 1622 – 1632 , 1989 .
  • N. G. Gong , G. R. Li , and R. W. Lewis , Finite Element Analysis of Heat Transfer in a Solid Coupled with Cooling Pipes , in L. C. Wroblel, C. A. Brebbia, and A. J. Nowak (eds.) , Advanced Computational Methods in Heat Transfer I , Computational Mechanics Publications , Southampton , U.K. , vol. 1 , pp. 61 – 71 , 1990 .
  • E. Hinton and D. R. J. Owen , An Introduction to Finite Element Computations , Pineridge Press , Swansea , U.K. , chap. 7 , 1979 .
  • CEN TC 89/WG5 , Thermal Performance of Buildings-Heat Exchange with the Ground-Calculation Method, Document 211 , 1992 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.