THREE-DIMENSIONAL LAMINAR BUOYANT FLOW IN A HORIZONTAL CIRCULAR CYLINDER WITH DIFFERENTIALLY HEATED END WALLS AT HIGH RAYLEIGH NUMBERS

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Abstract
A numerical study is made of natural convection inside a horizontal cylinder with differentially heated ends. The geometric aspect ratio L/R is taken to be 2.0, and the Rayleigh number varies from 10 4 A. Bejan and C. L. Tien , Fully Developed Natural Counterflow in a Long Horizontal Pipe with Different End Temperatures , Int. J. Heat Mass Transfer , vol. 21 , pp. 701 – 708 , 1978 . [Google Scholar] to 10 7 Y. Takata , K. Fukuda , S. Hasegawa , H. Shimoomura , and K. Sanokawa , Three-Dimensional Natural Convection in a Porous Medium Enclosed in a Vertical Curved Annulus , Num. Heat Transfer , pp. 29 – 39 , 1983 . [Google Scholar] . The approach is based on primitive-variable finite differences discretized in generalized orthogonal coordinates. The governing equations are given in curvilinear orthogonal coordinates and the corresponding finite-difference control-volume formulation is presented. The resulting flow and temperature fields are compared to those known for other aspect ratios and Rayleigh numbers. Overall heat transfer data have also been obtained and compared with those from several approximate theories.