Estimation of volumetric flow rate in a square duct: Equal area versus log-Tchebycheff methods.
Date of Award
Mechanical, Automotive, and Materials Engineering
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Accurate measurement of the volumetric airflow rates in a duct is critical to room comfort and energy saving in HVAC industry. Presently, the Equal Area and the Log-Tchebycheff methods are extensively used in practice. Both methods deduce the flow rate based on averaging discrete point velocities along the cross section while their difference is associated with the rules in specifying the measurement locations. This study aims at evaluating the Equal Area and the Log-Tchebycheff methods in deducing airflow rate in a 0.46 m square duct up to 40 Dh long, over a range of Reynolds number from 10,000 to 500,000. The numerical investigation evaluated the two methods for ideal flow conditions in the absence of practical imperfections. The airflow was simulated in a three-dimensional space using the commercial CFD code FLUENT with the RNG k-epsilon turbulence model. Based on the simulated flow field, the volumetric flow rates were calculated according to the Equal Area and the Log-Tchebycheff methods. It was observed that the Equal Area method overestimated the flow rate by 3.5 ∼ 4.7% while the Log-Tchebycheff method's values fell within -0.4 ∼ 0.8% of the actual flow rates. (Abstract shortened by UMI.)Dept. of Mechanical, Automotive, and Materials Engineering. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis2005 .Z46. Source: Masters Abstracts International, Volume: 44-03, page: 1500. Thesis (M.A.Sc.)--University of Windsor (Canada), 2005.
Zhou, Changjie., "Estimation of volumetric flow rate in a square duct: Equal area versus log-Tchebycheff methods." (2005). Electronic Theses and Dissertations. 1961.