Flow and heat transfer across a confined square cylinder in the steady flow regime: effect of Peclet number

Abstract The flow and heat transfer characteristics of an isolated square cylinder in crossflow placed symmetrically in a planar slit have been investigated for the range of conditions as 1 ⩽ Re ⩽ 45, 0.7 ⩽ Pr ⩽ 4000 (Pe ⩽ 4000) and β = 1/8, 1/6 and 1/4. Heat transfer correlations have been obtained in the steady flow regime for the constant temperature and constant heat flux boundary conditions on the solid square cylinder in crossflow. In addition, variation of the local Nusselt number on each face of the obstacle and representative isotherm plots are presented to elucidate the role of Prandtl number and blockage ratio on drag coefficient and heat transfer.

[1]  I. Orlanski.  A Simple Boundary Condition for Unbounded Hyperbolic Flows , 1976 .

[2]  C. Rhie,et al.  Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation , 1983 .

[3]  Vinayak Eswaran,et al.  Effects of Reynolds and Prandtl Numbers on Heat Transfer Across a Square Cylinder in the Steady Flow Regime , 2006 .

[4]  C. Tien.  Annual Review of Heat Transfer , 1993 .

[5]  B. Schoenung,et al.  NUMERICAL CALCULATION OF LAMINAR VORTEX-SHEDDING FLOW PAST CYLINDERS , 1990 .

[6]  Vinayak Eswaran,et al.  EFFECT OF CHANNEL CONFINEMENT ON THE TWO-DIMENSIONAL LAMINAR FLOW AND HEAT TRANSFER ACROSS A SQUARE CYLINDER , 2004 .

[7]  R. Ahmad.  Steady-State Numerical Solution of the Navier-Stokes and Energy Equations around a Horizontal Cylinder at Moderate Reynolds Numbers from 100 to 500 , 1996 .

[8]  Joe F. Thompson,et al.  Numerical grid generation: Foundations and applications , 1985 .

[9]  B. P. Leonard,et al.  A stable and accurate convective modelling procedure based on quadratic upstream interpolation , 1990 .

[10]  K. Hoffmann,et al.  Computational Fluid Dynamics for Engineers , 1989 .

[11]  Thirumalachari Sundararajan,et al.  Numerical investigation of confined wakes behind a square cylinder in a channel , 1992 .

[12]  Kenjiro Suzuki,et al.  UNSTEADY HEAT TRANSFER IN A CHANNEL OBSTRUCTED BY AN IMMERSED BODY , 1994 .

[13]  V. Morgan.  The Overall Convective Heat Transfer from Smooth Circular Cylinders , 1975 .

[14]  Sassi Ben Nasrallah,et al.  Two-dimensional laminar fluid flow and heat transfer in a channel with a built-in heated square cylinder , 2003 .

[15]  U. Ghia,et al.  High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method , 1982 .

[16]  S. B. Nasrallah,et al.  Effect of the blockage ratio on the flow in a channel with a built-in square cylinder , 2003 .

[17]  A. Valencia.  Heat transfer enhancement in a channel with a built-in square cylinder , 1995 .

[18]  S. Vanka,et al.  THREE-DIMENSIONAL FLOQUET INSTABILITY OF THE WAKE OF SQUARE CYLINDER , 1999 .

[19]  R. W. Davis,et al.  A numerical-experimental study of confined flow around rectangular cylinders , 1984 .

[20]  F. Durst,et al.  Accurate computations of the laminar flow past a square cylinder based on two different methods : lattice-Boltzmann and finite-volume , 2000 .

[21]  Wang Neng-Chao,et al.  Lattice-BGK simulation of a two-dimensional channel flow around a square cylinder , 2003 .

[22]  Suhas V. Patankar,et al.  Numerical prediction of vortex shedding behind a square cylinder , 1992 .

[23]  Vinayak Eswaran,et al.  HEAT AND FLUID FLOW ACROSS A SQUARE CYLINDER IN THE TWO-DIMENSIONAL LAMINAR FLOW REGIME , 2004 .

[24]  A. Okajima.  Strouhal numbers of rectangular cylinders , 1982, Journal of Fluid Mechanics.

[25]  Vinayak Eswaran,et al.  EFFECT OF AIDING AND OPPOSING BUOYANCY ON THE HEAT AND FLUID FLOW ACROSS A SQUARE CYLINDER AT RE = 100 , 2004 .

[26]  Vinayak Eswaran,et al.  Two-Dimensional Steady Flow of a Power-Law Fluid Past a Square Cylinder in a Plane Channel: Momentum and Heat-Transfer Characteristics , 2003 .

[27]  F. Durst,et al.  SIMULATION OF A 2D CHANNEL FLOW AROUND A SQUARE OBSTACLE WITH LATTICE-BOLTZMANN (BGK) AUTOMATA , 1998 .