Numerical Simulation of Mixed Convective Flow Over a Three-Dimensional Horizontal Backward Facing Step

Laminar mixed convective flow over a three-dimensional horizontal backward-facing step heated from below at a constant temperature was numerically simulated using a finite volume technique and the most relevant hydrodynamic and thermal features for air flowing through the channel are presented in this work. The channel considered in this work has an aspect ratio AR=4, and an expansion ratio ER=2, while the total length in the streamwise direction is 52 times the step height (L=52s) and the step length is equal to 2 times the step height (l=2s). The flow at the duct entrance was considered to be hydrodynamically fully developed and isothermal. The bottom wall of the channel was subjected to a constant high temperature while the other walls were treated to be adiabatic. The step was considered to be a thermally conducting block.

[1]  Bassem F. Armaly,et al.  Buoyancy Effects on Three-Dimensional Convection Flow Adjacent to Backward-Facing Step , 2003 .

[2]  Chia-Jung Hsu Numerical Heat Transfer and Fluid Flow , 1981 .

[3]  Anil W. Date,et al.  Numerical Grid Generation , 2005 .

[4]  E. Sparrow,et al.  PC solutions for heat transfer and fluid flow downstream of an abrupt, asymmetric enlargement in a channel , 1987 .

[5]  B. F. Blackwell Computational aspects of heat transfer benchmark problems : presented at the 1993 ASME Winter Annual Meeting, New Orleans, Louisiana, November 28-December 3, 1993 , 1993 .

[6]  O. G. Martynenko,et al.  Convective heat transfer , 1989 .

[7]  An Li,et al.  Mixed Convection Adjacent to 3-D Backward-Facing Step , 2000, Heat Transfer: Volume 2.

[8]  T. Chen,et al.  Mixed convection heat transfer in inclined backward-facing step flows , 1991 .

[9]  Hosni I. Abu-Mulaweh,et al.  A review of research on laminar mixed convection flow over backward- and forward-facing steps , 2003 .

[10]  Frank P. Incropera,et al.  NUMERICAL SIMULATION OF LAMINAR MIXED CONVECTION IN THE ENTRANCE REGION OF HORIZONTAL RECTANGULAR DUCTS , 1985 .

[11]  B. Armaly,et al.  Three-dimensional forced convection flow adjacent to backward-facing step , 2002 .

[12]  Sadik Kakaç,et al.  Convective Heat Transfer , 1995 .

[13]  B. Armaly,et al.  Measurements of laminar mixed convection in boundary-layer flow over horizontal and inclined backward-facing steps , 1993 .

[14]  Bassem F. Armaly,et al.  Mixed convection in buoyancy-assisting, vertical backward-facing step flows , 1990 .

[15]  Hiroshi Iwai,et al.  The effects of duct inclination angle on laminar mixed convective flows over a backward-facing step , 2000 .

[16]  John May,et al.  Parallel I/O for High Performance Computing , 2000 .

[17]  A. J. Baker,et al.  Numerical simulations of laminar flow over a 3D backward‐facing step , 1997 .

[18]  Chih-Ming Ho,et al.  Three-Dimensional Recirculation Flow in a Backward Facing Step , 1994 .

[19]  T. Sheu,et al.  Topological flow structures in backward-facing step channels , 1997 .

[20]  Hiroshi Iwai,et al.  Flow and heat transfer characteristics of backward-facing step laminar flow in a rectangular duct , 2000 .

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

[22]  Bassem F. Armaly,et al.  Three-dimensional convective flow adjacent to backward-facing step: effects of step height , 2002 .

[23]  K. Nandakumar,et al.  Development of three-dimensional, streamwise-periodic flows in mixed-convection heat transfer , 1993, Journal of Fluid Mechanics.

[24]  Zhongyu Guo,et al.  Three-dimensional heat transfer in a channel with a baffle in the entrance region , 1997 .

[25]  Suhas V. Patankar,et al.  Computation of Conduction and Duct Flow Heat Transfer , 2019 .

[26]  Weeratunge Malalasekera,et al.  An introduction to computational fluid dynamics - the finite volume method , 2007 .

[27]  B. Armaly,et al.  Laminar mixed convection in a duct with a backward-facing step: the effects of inclination angle and Prandtl number , 1993 .

[28]  George Karypis,et al.  Introduction to Parallel Computing , 1994 .

[29]  Darrell W. Pepper,et al.  CONVECTIVE HEAT TRANSFER DOWNSTREAM OF A 3-D BACKWARD-FACING STEP , 2002 .

[30]  F. Harlow,et al.  Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface , 1965 .

[31]  W. Aung An experimental study of laminar heat transfer downstream of backsteps , 1983 .

[32]  F. White Viscous Fluid Flow , 1974 .

[33]  R. J. Goldstein,et al.  Laminar Separation, Reattachment, and Transition of the Flow Over a Downstream-Facing Step , 1970 .

[34]  Richard Barrett,et al.  Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods , 1994, Other Titles in Applied Mathematics.

[35]  Meng-Sing Liou,et al.  Numerical simulations of three-dimensional laminar flow over a backward facing step; flow near side walls , 1993 .

[36]  Darrell W. Pepper,et al.  Benchmark problems for heat transfer codes : presented at the Winter Annual Meeting of the American Society of Mechanical Engineers, Anaheim, California, November 8-13, 1992 , 1992 .

[37]  Carl D. Meyer,et al.  Matrix Analysis and Applied Linear Algebra , 2000 .

[38]  Rohit Chandra,et al.  Parallel programming in openMP , 2000 .

[39]  H. Iwai,et al.  Numerical simulation of buoyancy-assisting, backward-facing step flow and heat transfer in a rectangular duct , 1999 .

[40]  Steven C. Chapra,et al.  Numerical methods for engineers: with software and programming applications / Steven C. Chapra, Raymond P. Canale , 2001 .

[41]  An Li,et al.  Measurements in three-dimensional laminar separated flow , 2003 .

[42]  Peng Han,et al.  A note on the solution of conjugate heat transfer problems using SIMPLE-like algorithms , 2000 .

[43]  Wei‐Mon Yan Combined buoyancy effects of thermal and mass diffusion on laminar forced convection in horizontal rectangular ducts , 1996 .

[44]  R. Shah Laminar Flow Forced convection in ducts , 1978 .

[45]  Bassem F. Armaly,et al.  Reattachment of Three-Dimensional Flow Adjacent to Backward-Facing Step , 2002 .

[46]  Louis A. Povinelli,et al.  LEAST-SQUARES FINITE ELEMENT SOLUTIONS FOR THREE-DIMENSIONAL BACKWARD-FACING STEP FLOW , 1995 .

[47]  J. Luijkx,et al.  On the existence of thermoconvective rolls, transverse to a superimposed mean poiseuille flow , 1981 .

[48]  Larry Smarr,et al.  Supercomputing and the transformation of science , 1993 .