Estimation of volumetric flow rate through a circular duct: Equal area versus Log-Tchebycheff method.
Date of Award
Mechanical, Automotive, and Materials Engineering
CC BY-NC-ND 4.0
Proper control of airflow through a duct is critical in HVAC application. At present, the airflow rate is typically estimated by means of Equal Area and Log-Tchebycheff methods. Both methods deduce the flow rate based on velocities measured at discrete locations in a cross section; the difference is associated with the rules that prescribe the specific locations. This research aims at making a step towards resolving the existing debate as to which method is preferable for a given situation. To achieve this, two-dimensional numerical simulations of air at a uniform velocity entering a straight circular duct of 60D length were performed over a range of Re from 200 to 54000. It was revealed that in the absence of imperfections that are encountered in a real environment, the Equal Area method estimates the volumetric flow rate better in the laminar flow regime, whereas the Log-Tchebycheff method provides greater accuracy in the turbulent regime. In addition, experiments were conducted for Re of 24400, 54800 and 99400 in a straight circular duct of 32D (D = 0.266 m) length. (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 .A34. Source: Masters Abstracts International, Volume: 44-03, page: 1482. Thesis (M.A.Sc.)--University of Windsor (Canada), 2005.
Ahemad, Md Ramiz., "Estimation of volumetric flow rate through a circular duct: Equal area versus Log-Tchebycheff method." (2005). Electronic Theses and Dissertations. 1962.