D. C. Lo and S. S. Leu DQ Analysis of 3D Natural Convection in an Inclined Cavity Using an VelocityVorticity Formulation
735 - 740
2008
2
10
International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering http://waset.org/publications/3852
http://waset.org/publications/22
World Academy of Science, Engineering and Technology
In this paper, the differential quadrature method is applied to simulate natural convection in an inclined cubic cavity using velocityvorticity formulation. The numerical capability of the present algorithm is demonstrated by application to natural convection in an inclined cubic cavity. The velocity Poisson equations, the vorticity transport equations and the energy equation are all solved as a coupled system of equations for the seven field variables consisting of three velocities, three vorticities and temperature. The coupled equations are simultaneously solved by imposing the vorticity definition at boundary without requiring the explicit specification of the vorticity boundary conditions. Test results obtained for an inclined cubic cavity with different angle of inclinations for Rayleigh number equal to 103, 104, 105 and 106 indicate that the present coupled solution algorithm could predict the benchmark results for temperature and flow fields. Thus, it is convinced that the present formulation is capable of solving coupled NavierStokes equations effectively and accurately.
International Science Index 22, 2008