Numerical simulation of a mixed vertical ventilation system

The following work describes the process of finding the flow and the temperature fields for a given ventilation system configuration. In order to simplify the problem, the flow was characterized as 2D, incompressible, viscous and in constant state. First, the governing equations in terms of the stream function, vorticity and Reynolds number have been developed. The obtained mathematical model for the flow field is actually a pair of coupled elliptical partial differential equations. Solving the resulting equations was performed using SOR (successive over-relaxation) methods following upwind second-order finite differences. In the second stage, the temperature field was numerically calculated using the flow field data obtained in the first stage. In fact, as expected, the flow has been advanced from the left inlet opening to the right outlet opening. Also, the main flow was creating a vortex while above the main flow large vortex has been generated and surrounded by several small vortices around it. Last but not least, Reynolds (Re) number influence on the solution nature has been expressed by flow expansion in the whole ventilation cell. Finally, comparison between different Re numbers have proved the flow type dependency on the Re number and its effect on the temperature field.

Automated summary

This study presents the process of finding flow and temperature fields for a given ventilation system configuration through numerical simulations. The flow characteristics were simplified as 2D, incompressible, viscous, and in a constant state. The solution for the flow field was obtained using SOR methods, while the temperature field was calculated using the flow field data from the first stage. The influence of Reynolds number on the solution nature and the dependency of flow type on Reynolds number and its effect on the temperature field were highlighted in the study.