FINITE-ELEMENT ANALYSIS OF CONVECTION PROBLEMS IN SPATIALLY PERIODIC DOMAINS

REFERENCES

• S. V. Patankar , Numerical Prediction of Flow and Heat Transfer in Compact Heat Exchanger Passages , in R. K. Shah, A. D. Kraus, and D. Metzger (eds.) , Compact Heat Exchangers , pp. 191 – 204 , Hemisphere , New York , 1990 .
   Google Scholar
• K. M. Kelkar , D. Choudhury , and W. J. Minkowicz , Numerical Method for the Computation of Flow in Irregular Domains That Exhibit Geometric Periodicity Using Nonstaggered Grids , Numer. Heat Transfer B , vol. 31 , pp. 1 – 21 , 1997 .
   Web of Science ®Google Scholar
• G. Segal , K. Vuik , and K. Kassels , On the Implementation of Symmetric and Antisymmetric Periodic Boundary Conditions for Incompressible Flow , Int. J. Numer. Meth. Fluids , vol. 18 , pp. 1153 – 1165 , 1994 .
   Google Scholar
• T. E. Tezduyar and J. Liou , Computation of Spatially Periodic Flows Based on the Vorticity-Streamfunction Formulation , Comput. Meth. Appl. Mech. Eng. , vol. 83 , pp. 121 – 142 , 1990 .
   Google Scholar
• M. Manzan , G. Comini , and G. Cortella , A Streamfunction-Vorticity Formulation of Spatially Periodic Flows , Commun. Numer. Meth. Eng. , vol. 13 , pp. 867 – 874 , 1997 .
   Google Scholar
• K. M. Kelkar and S. V. Patankar , Numerical Prediction of Periodically Fully Developed Flow and Heat Transfer in a Parallel Plate Channel with Staggered Fins , J. Heat Transfer , vol. 109 , pp. 25 – 30 , 1987 .
   Web of Science ®Google Scholar
• A. T. Prata and E. M. Sparrow , Heat Transfer and Fluid Flow Characteristics for an Annulus of Periodically Varying Cross Section , Numer. Heat Transfer , vol. 7 , pp. 285 – 304 , 1984 .
   Web of Science ®Google Scholar
• K. M. Kelkar and D. Choudhury , Numerical Prediction of Periodically Fully Developed Natural Convection in a Vertical Channel with Surface Mounted Heat Generating Blocks , Int. J. Heat Mass Transfer , vol. 36 , no. 5 , pp. 1133 – 1145 , 1993 .
   Web of Science ®Google Scholar
• E. Bilgen , X. Wang , P. Vasseur , F. Meng , and L. Robillard , On the Periodic Conditions to Simulate Mixed Convection Heat Transfer in Horizontal Channels , Numer. Heat Transfer A , vol. 27 , pp. 461 – 472 , 1995 .
   Web of Science ®Google Scholar
• R. S. Amano , A Numerical Study of Laminar and Turbulent Heat Transfer in a Periodically Corrugated Wall Channel , J. Heat Transfer , vol. 107 , pp. 564 – 569 , 1985 .
   Web of Science ®Google Scholar
• C. Nonino and G. Comini , An Equal-Order Velocity-Pressure Algorithm for Incompressible Thermal Flows, Part 1 Formulation , Numer. Heat Transfer B , vol. 32 , pp. 1 – 15 , 1997 .
   Web of Science ®Google Scholar
• Y. Asako and M. Faghri , Finite Volume Solutions of Laminar Flow and Heat Transfer in a Corrugated Duct , J. Heat Transfer , vol. 109 , pp. 627 – 634 , 1987 .
   Web of Science ®Google Scholar
• S. V. Patankar , C. H. Liu , and E. M. Sparrow , Fully Developed Flow and Heat Transfer in Ducts Having Streamwise-Periodic Variations of Cross-Sectional Area , Trans. ASME, J. Heat Transfer , vol. 99 , pp. 180 – 186 , 1977 .
   Web of Science ®Google Scholar
• R. K. Shah and A. L. London , Laminar Flow Forced Convection in Ducts, Supplement 1 to Advances in Heat Transfer , Academic Press , New York , 1978 .
   Google Scholar
• S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere , Washington DC , 1980 .
   Google Scholar
• G. Comini , S. Del Giudice, and C. Nonino , Finite Element Analysis in Heat Transfer Basic Formulation and Linear Problems , Taylor & Francis , Washington , DC , 1994 .
   Google Scholar
• Address correspondence to Prof. Gianni Comini, Universita di Udine, Dipartimento di Energetica e Macchine, Via delle Scienze 208, 33100 Udine, Italy. E-mail: gianni. [email protected]
   Google Scholar