Abstract

The paper presents the possibilities of simplified determination of the air volumetric flow rate in ventilation ducts. This problem occurred during the tests of local losses in the elements of a new ventilation system based on ducts with a rounded rectangular cross-section. The presented method requires mathematical modelling of the flow velocity distribution in the ducts. The paper presents four models of the velocity distribution. The necessity of using so many models resulted from the wide coverage of the tested sections: Amax/Amin= 46.88.

Highlights

  • An engineering device can be studied either experimenttally or analytically

  • It is assumed that the velocity distribution over the entire cross-sectional area of the duct is determined by the same formula, known as power-law velocity profile

  • At the basis of the analysis of velocity distribution in a rounded rectangular lies the assumption that along the axis of the duct symmetry the velocity distribution is determined by the power-law velocity profile

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Summary

Introduction

An engineering device (e.g. ventilation, heating and air conditioning systems) can be studied either experimenttally (testing and taking measurements) or analytically (by analysis or calculations). The experimental approach has the advantage that we deal with the actual physical system, and the desired quantity is determined by measurement, within the limits of experimental error. This approach is expensive, time-consuming, and often impractical. The analytical approach (including the numerical approach) has the advantage that it is fast and inexpensive, but the results obtained are subject to the accuracy of the assumptions, approximations, and idealizations made in the analysis.

Ventilation system developed
Models of velocity distribution
Basic power-law velocity profile in uniform cross-section
Modified power-law velocity profile in uniform cross-section
Basic power-law velocity profile in slotrounded square cross-section
Modified power-law velocity profile in slotrounded square cross-section
Measurement only in two points of crosssection area
Findings
Conclusions
Full Text
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