An investigation of natural convection of three dimensional horizontal parallel plates from a steady to an unsteady situation by a CUDA computation platform

The heat transfer of natural convection in three dimensional horizontal parallel plates with a heated bottom surface is investigated numerically. For enlarging the application domain, the compressibility of the fluid is taken into consideration instead of the Boussinesq assumption. Numerical methods of the Roe scheme, preconditioning and dual time stepping are adopted for solving governing equations of a low speed compressible flow. A non-reflection condition is used at both apertures in order to decrease computational grids and a CUDA computational platform is developed to economize massive computing time. Variations of thermal and flow fields are examined in detail. The results show that accompanied with elongating the length of the heated bottom surface, both thermal and flow fields are changed from a steady to an unsteady situation.

[1]  Wayne A. Smith,et al.  Preconditioning Applied to Variable and Constant Density Flows , 1995 .

[2]  A. Jameson,et al.  Lower-upper Symmetric-Gauss-Seidel method for the Euler and Navier-Stokes equations , 1988 .

[3]  D. Gray,et al.  The validity of the boussinesq approximation for liquids and gases , 1976 .

[4]  Wu-Shung Fu,et al.  An investigation of a high temperature difference natural convection in a finite length channel without Bossinesq assumption , 2009 .

[5]  Wu-Shung Fu,et al.  An investigation of a dual-reflection phenomenon of a natural convection in a three dimensional horizontal channel without Boussinesq assumption , 2010 .

[6]  N. K. Anand,et al.  Effect of wall conduction on free convection between asymmetrically heated vertical plates: uniform wall heat flux , 1990 .

[7]  O. Manca,et al.  Experimental Analysis of Thermal Instability in Natural Convection Between Horizontal Parallel Plates Uniformly Heated , 2000 .

[8]  P. Roe Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .

[9]  O. Turgut,et al.  An experimental and three-dimensional numerical study of natural convection heat transfer between two horizontal parallel plates ☆ , 2007 .

[10]  Richard H. Pletcher,et al.  A compressible finite volume formulation for large eddy simulation of turbulent pipe flows at low Mach number in Cartesian coordinates , 2005 .

[11]  O. Manca,et al.  Experimental investigation on natural convection in horizontal channels with the upper wall at uniform heat flux , 2007 .

[12]  K. Kitamura,et al.  Fluid flow and heat transfer of natural convection over upward-facing, horizontal, heated plate shrouded by a parallel insulated plate , 2000 .

[13]  Jerzy M. Floryan,et al.  A Numerical Study of Developing Free Convection Between Isothermal Vertical Plates , 1991 .

[14]  Alain Dervieux,et al.  A vertex centered high order MUSCL scheme applying to linearised Euler acoustics , 2002 .

[15]  T. Poinsot Boundary conditions for direct simulations of compressible viscous flows , 1992 .

[16]  F. Kimura,et al.  Fluid flow and heat transfer of natural convection over upward-facing, horizontal heated circular disks , 2008 .

[17]  A. La Pica,et al.  An experimental investigation on natural convection of air in a vertical channel , 1993 .

[18]  V. Sernas,et al.  Developing laminar free convection between vertical flat plates with asymmetric heating , 1972 .

[19]  Hongxing Yang,et al.  Numerical simulation of thermal fluid instability between two horizontal parallel plates , 2001 .