Two-dimensional laminar fluid flow and heat transfer in a channel with a built-in heated square cylinder

A numerical investigation was conducted to analyze the unsteady flow field and heat transfer characteristics in a horizontal channel with a built-in heated square cylinder. Hydrodynamic behavior and heat transfer results are obtained by the solution of the complete Navier–Stokes and energy equations using a control volume finite element method (CVFEM) adapted to the staggered grid. The Computation was made for two channel blockage ratios (β=1/4 and 1/8), different Reynolds and Richardson numbers ranging from 62 to 200 and from 0 to 0.1 respectively at Pr=0.71. The flow is found to be unstable when the Richardson number crosses the critical value of 0.13. The results are presented to show the effects of the blockage ratio, the Reynolds and the Richardson numbers on the flow pattern and the heat transfer from the square cylinder. Heat transfer correlation are obtained through forced and mixed convection.

[1]  Lars Davidson,et al.  Low-Reynolds-number flow around a square cylinder at incidence: study of blockage, onset of vortex shedding and outlet boundary condition , 1998 .

[2]  Bantwal R. Baliga,et al.  CO-LOCATED EQUAL-ORDER CONTROL-VOLUME FINITE-ELEMENT METHOD FOR MULTIDIMENSIONAL, INCOMPRESSIBLE, FLUID FLOW—PART II: VERIFICATION , 1994 .

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

[4]  S. Z. Shuja,et al.  Heat transfer characteristics of flow past a rectangular protruding body , 2000 .

[5]  Christian Masson,et al.  Co‐located equal‐order control‐volume finite element method for two‐dimensional axisymmetric incompressible fluid flow , 1994 .

[6]  M. Fiebig,et al.  NUMERICAL INVESTIGATION OF MIXED CONVECTION HEAT TRANSFER IN A HORIZONTAL CHANNEL WITH A BUILT-IN SQUARE CYLINDER , 1990 .

[7]  Sassi Ben Nasrallah,et al.  Numerical investigation of forced convection in a plane channel with a built-in triangular prism , 2001 .

[8]  Zdenek Travnicek,et al.  On the relationship of effective Reynolds number and Strouhal number for the laminar vortex shedding of a heated circular cylinder , 1999 .

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

[10]  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 .

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

[12]  Franz Durst,et al.  Momentum and heat transfer from cylinders in laminar crossflow at 10−4 ⩽ Re ⩽ 200 , 1998 .

[13]  C. Prakash,et al.  AN IMPROVED CONTROL VOLUME FINITE-ELEMENT METHOD IFOR HEAT AND MASS TRANSFER, AND FOR FLUID FLOW USING EQUAL-ORDER VELOCITY-PRESSURE INTERPOLATION , 1986 .