Mixed Convection around a Heated Rotating Horizontal Square Cylinder in a Circular Enclosure

Numerical results are presented for two-dimensional laminar mixed convection flows around a heated horizontal square cylinder rotating slowly within a concentric circular enclosure. The time evolution of the rotation and buoyancy-induced mixed convection flows are analyzed over a range of the radius ratio χ, the Gr, and the rotational Re. The radius ratio considered ranged from 0.2 to 0.55. The Gr range is taken from 103 to 2 × 104, and the rotational Re varied from 0 to 24. The flow and temperature fields and heat transfer characteristics are presented over this parameter range. The effect of the rotating noncircular geometry of the inner cylinder on the flow field and the heat transfer characteristics are considered in detail and compared with those previously studied for differentially heated concentric circular annuli.

[1]  K. Pericleous,et al.  Laminar and turbulent natural convection in an enclosed cavity , 1984 .

[2]  Mixed-convection flows within a horizontal concentric annulus with a heated rotating inner cylinder , 1986 .

[3]  A. T. Prata,et al.  Finite-difference solutions of convection-diffusion problems in irregular domains, using a nonorthogonal coordinate transformation , 1984 .

[4]  G. D. Davis.  Natural convection of air in a square cavity: A bench mark numerical solution , 1983 .

[5]  Richard J Goldstein,et al.  An experimental and theoretical study of natural convection in the annulus between horizontal concentric cylinders , 1976, Journal of Fluid Mechanics.

[6]  Keun-Shik Chang,et al.  Patterns of Natural Convection Around a Square Cylinder Placed Concentrically in a Horizontal Circular Cylinder , 1983 .

[7]  D. Coles.  Transition in circular Couette flow , 1965, Journal of Fluid Mechanics.

[8]  Solution of three‐dimensional natural convection about a vertical square rod in a cylindrical enclosure , 1987 .

[9]  S. Patankar.  Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[10]  B. Farouk,et al.  Three-dimensional mixed convection flows in a horizontal annulus with a heated rotating inner circular cylinder , 1992 .

[11]  Arthur Sherman,et al.  Chemical Vapor Deposition for Microelectronics: Principles, Technology and Applications , 1987 .

[12]  Hans Beer,et al.  NUMERICAL ANALYSIS OF LAMINAR NATURAL CONVECTION BETWEEN CONCENTRIC AND ECCENTRIC CYLINDERS , 1981 .

[13]  H. Snyder.  Experiments on Rotating Flows between Noncircular Cylinders , 1968 .