Discharge Coefficients for Circular Side Outlets

2018 ◽  
Vol 140 (7) ◽  
Author(s):  
Laszlo Czetany ◽  
Peter Lang
Keyword(s):  
Experimental Data ◽  
Genetic Algorithm ◽  
Least Squares ◽  
Discharge Coefficient ◽  
Nonlinear Least Squares ◽  
Fluid Distribution ◽  
Vast Amount ◽  
Discharge Coefficients ◽  
New Equation

Fluid distributors are widely used in various industrial and ventilation applications. For the appropriate design of such distributors, the discharge coefficient has to be known to predict the energy and fluid distribution performance. Despite the vast amount of experimental data published, no generally applicable equations are available. Therefore, a new equation is presented for sharp-edged circular side outlets, which can be widely used for calculating the discharge coefficient. The equation is developed by regression with nonlinear least squares combined with genetic algorithm on experimental data available in the literature. The equation covers a wider range than the others presented in the literature.

Discharge coefficients for ogee weirs including the effects of a sloping upstream face

2020 ◽  
Vol 20 (4) ◽  
pp. 1493-1508 ◽  
Author(s):  
Farzin Salmasi ◽  
John Abraham
Keyword(s):  
Gene Expression ◽  
Experimental Data ◽  
Regression Analysis ◽  
Discharge Coefficient ◽  
Gene Expression Programming ◽  
Linear Interpolation ◽  
Performance Criteria ◽  
Upstream Face ◽  
Discharge Coefficients ◽  
Regression Techniques

Abstract Discharge coefficients (C0) for ogee weirs are essential factors for predicting the discharge-head relationship. The present study investigates three influences on the C0: effect of approach depth, weir upstream face slope, and the actual head, which may differ from the design head. This study uses experimental data with multiple non-linear regression techniques and Gene Expression Programming (GEP) models that are applied to introduce practical equations that can be used for design. Results show that the GEP method is superior to the regression analysis for predicting the discharge coefficient. Performance criteria for GEP are R2 = 0.995, RMSE = 0.021 and MAE = 0.015. Design examples are presented that show that the proposed GEP equation correlates well with the data and eliminates linear interpolation using existing graphs.

Détermination directe des coefficients du potentiel de Dunham par une méthode de moindres carrés non linéaire appliquée aux nombres d'ondes des raies. Application au cas de la molécule HBr

1977 ◽  
Vol 55 (21) ◽  
pp. 1829-1834 ◽  
Author(s):  
P. Niay ◽  
P. Bernage ◽  
C. Coquant ◽  
A. Fayt
Keyword(s):  
Experimental Data ◽  
Least Squares ◽  
Iterative Process ◽  
Nonlinear Least Squares ◽  
Theoretical Framework ◽  
New Method

In this paper, the Dunham potential coefficients are numerically determined by using a nonlinear least squares routine applied directly to the line experimental wave numbers.The results are compared to the ones obtained when using the usual iterative process applied to the H81Br Yi0 and Yi1 equilibrium constants.The al determination new method assumes a theoretical framework (B.O., adiabatic or non-adiabatic) to be valid. One can test this assumption by comparing the experimental data to the calculated ones.

New Discharge Coefficient of Throat Tap Nozzle Based on ASME Performance Test Code 6 for Reynolds Number From 2.4 × 105 to 1.4 × 107

2013 ◽  
Vol 136 (1) ◽  
Author(s):  
Noriyuki Furuichi ◽  
Kar-Hooi Cheong ◽  
Yoshiya Terao ◽  
Shinichi Nakao ◽  
Keiji Fujita ◽  
...  
Keyword(s):  
Experimental Data ◽  
Reynolds Number ◽  
Discharge Coefficient ◽  
Performance Test ◽  
Reynolds Numbers ◽  
Experimental Results ◽  
National Metrology Institute ◽  
Reference Curve ◽  
Number Range ◽  
Discharge Coefficients

The throat tap nozzle of the American Society of Mechanical Engineers performance test code (ASME PTC) 6 is widely used in engineering fields, and its discharge coefficient is normally estimated by an extrapolation in Reynolds number range higher than the order of 107. The purpose of this paper is to propose a new relation between the discharge coefficient of the throat tap nozzle and Reynolds number by a detailed analysis of the experimental data and the theoretical models, which can be applied to Reynolds numbers up to 1.5 × 107. The discharge coefficients are measured for several tap diameters in Reynolds numbers ranging from 2.4 × 105 to 1.4 × 107 using the high Reynolds number calibration rig of the National Metrology Institute of Japan (NMIJ). Experimental results show that the discharge coefficients depend on the tap diameter and the deviation between the experimental results and the reference curve of PTC 6 is 0.75% at maximum. New equations to estimate the discharge coefficient are developed based on the experimental results and the theoretical equations including the tap effects. The developed equations estimate the discharge coefficient of the present experimental data within 0.21%, and they are expected to estimate more accurately the discharge coefficient of the throat tap nozzle of PTC 6 than the reference curve of PTC 6.

Flow Nozzles With Zero Beta Ratio

1964 ◽  
Vol 86 (3) ◽  
pp. 538-540 ◽  
Author(s):  
Hans J. Leutheusser
Keyword(s):  
Experimental Data ◽  
Satisfactory Agreement ◽  
Discharge Coefficient ◽  
Theoretical Equation ◽  
Analytical Expression ◽  
Discharge Coefficients ◽  
Analytical Work

An analytical expression for the discharge coefficient of ASME long-radius flow nozzles with zero beta ratio is presented. The latter condition corresponds to the installation of a metering nozzle at the outlet from a very large supply reservoir. The prediction of the theoretical equation is compared with experimentally determined discharge coefficients for nozzles of this type. Reference is made to analytical work in this field by other investigators and conclusions are drawn as to the degree of analytical sophistication required in order to obtain satisfactory agreement between analytical and experimental data.

Deformation Identification and Tank Capacity Table Calibration of the Storage Tank

2012 ◽  
Vol 184-185 ◽  
pp. 110-113
Author(s):  
Zhi Peng Yao ◽  
Sheng Shuang Chen
Keyword(s):  
Experimental Data ◽  
Least Squares ◽  
Storage Tank ◽  
Nonlinear Least Squares ◽  
Integral Model ◽  
Tank Capacity

We build the deformation integral model of the actual storage tank and estimate the deflection parameters by using nonlinear least squares based on experimental data. The accurate calibration value of the tank capacity table of the actual storage tank is calculated.

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