In 2012, Koonsrisuk [11] developed a mathematical model based on the continuity, momentum, energy, and state equations for the SUPP system. Additional advantage in this model was including the dynamic pressure and the flow details within the collector. As per [12], the driving pressure in a SUPP is of the same order of magnitude as the dynamic pressure at the collector exit. Thus, neglecting the dynamic component in pressure computation can lead to
a very large overall error in the predicted performance of the systems. At that time and since there is no experimental result for SSUPP published; the proposed mathematical model is validated by comparing its results with the predictions of the commercial CFD package. Comparisons shows good agreement between these two predictions with 7.6% maximum difference recorded for the mass flow rate[11]. The mathematical model is used to discuss the effect of many dimensional parameters of the SUPP. It was founded that collector inlet area to collector
outlet area shall not be nearly-unity. This will create a strong wind which might carry a lot of surface dust and cause the noise pollution. Also assuming equal difference in density between the collector inlet, outlet and the chimney inlet, outlet is causing over-prediction of the pressure difference across the chimney unless the chimney height is higher than 1000 m.