Abstract
Paper presents new mathematical model for air flow velocity distribution in rounded rectangular ducts and its experimental verification. In papers [1, 2] an mathematical model based on modified Prandtl equation for power power-law velocity profile was determined. It works very well for smaller cross sections. During the study of larger cross sections new phenomena in flowing air have been observed, it forced the search for a new model. The new model is based on a rounded rectangular division into two parts: slot and rounded square.
Highlights
An important element in the design of ventilation systems is the selection of appropriate ducts
In papers [1, 2] an mathematical model based on modified Prandtl equation for power power-law velocity profile was determined
During the study of larger cross sections new phenomena in flowing air have been observed, it forced the search for a new model
Summary
An important element in the design of ventilation systems (first of all connected with air conditioning) is the selection of appropriate ducts. For some time a new ventilation system has been developed, in which channels have a rounded rectangular cross section area. This new system combines the advantages of circular and rectangular channels. For each dimension there are about 40 different elements, this means that more than 3,000 items should be tested. This is not possible from a time point of view. For this reason, it is necessary to develop a certain empirical model of air flow in cross section based on experimental research. The first step in the development of this model was the adoption of dimensionless parameters for characterization of the duct cross-section shape and , see Fig., Fig. 2
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