Abstract
The FCVM has been used to solve both open flow problems and turbulent flow problems. The particular problems chosen for consideration were the flow between infinite parallel plates and the buoyant flow in a square enclosure. In each case, both laminar and turbulent flows were considered. In solving open flow problems, the flow between infinite parallel plates were considered. The laminar convective-diffusive transport of energy with the velocity distribution specified was first considered and results compared with the analytical solution. Next, the entire flow field for several different Reynolds numbers was computed and the velocity field compared with the analytical solution. Lastly, the turbulent flow field was computed for several Reynolds numbers and results were compared to empirical, semi-empirical, and other numerical results. Computed results compared include the drag coefficient, mean velocity defect profile, turbulent kinetic energy profile, and turbulent kinetic energy dissipation rate profile. In solving turbulent buoyant flows, thermally driven flow in a square enclosure was considered. Laminar flow with Ra = 10³ --> 10⁶ was first considered and the computed results compared to both experimental and other numerical results. Computed results include both vertical velocity and temperature across the enclosure horizontal mid-plane, both isotherms and streamlines in the enclosure, and the average Nusselt number. The computed average Nusselt number was compared with experimental values of several researchers. Selected velocities and the average Nusselt numbers were compared with other numerical solutions. In the case of turbulent flow, Ra > 10⁶, the computed results include both vertical velocity and temperature across the enclosure horizontal mid-plane, both isotherms and streamlines in the enclosure, and the average Nusselt number. Again, the computed average Nusselt number was compared with both experimental data and other numerical solutions and selected velocities were compared with other numerical solutions. Generally, comparisons have shown excellent agreement between the FCVM solutions and both experimental data, when available, and other numerical solutions. The comparisons with other numerical solutions were excellent with the use of considerably fewer nodes.
Hogan, Roy Edward (1987). Finite control volume modeling of the turbulent motion of air in an enclosure. Texas A&M University. Texas A&M University. Libraries. Available electronically from
https : / /hdl .handle .net /1969 .1 /DISSERTATIONS -26883.