An accurate method for determination of the performance characteristics of membrane-type restrictors

The determination of flow rate and fluid resistance for membrane-type restrictors is modified in this paper, and it can be more accurate and confident from the measurements in experiments. Three coupled equations including Reynolds equation, membrane deformation equation of large axisymmetric deflection and flow rate equation have been used to establish the mathematical model of membrane-type restrictor and solved simultaneously. Several cases are simulated by the traditional method and the modified numerical method, and the simulation results are compared with experimental data for flow rates and fluid resistances. It has been found that the determination of the performance characteristics of membrane-type restrictors is significantly affected by the hypotheses of membrane deflection scales, the pressures distribution and the gap height between the sill and membrane. The numerical results of the modified method are much more approximated to the actual flow rate measured in Kang et al.’s work than those of the traditional formula, and the proposed method can increase the determination accuracy of the flow rate and restriction coefficient in the design of membrane-type restrictors distinctly.

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Study on the determination of the parameters of the electric purifier

IOP Conference Series Earth and Environmental Science ◽

10.1088/1755-1315/939/1/012023 ◽

2021 ◽

Vol 939 (1) ◽

pp. 012023

Author(s):

A S Berdyshev ◽

Z Z Djumabayeva ◽

A A Abdullaev ◽

A Mussabekov

Keyword(s):

Particle Size ◽

Flow Rate ◽

Geometrical Parameters ◽

Fluid Viscosity ◽

Filter Performance ◽

Magnetizing Force ◽

Gap Height

Abstract The article is devoted to the determination of the parameters on which the filter performance depends on the hydrodynamic, electromagnetic and geometrical parameters of the fluid and pollution. These include fluid viscosity and flow rate, magnetizing force, particle size of contamination, gap height, and the distance between the turns.

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High Pressure Liquid Chromatographic Determination of Naphthaleneacetamide Residues in Apples

Journal of AOAC INTERNATIONAL ◽

10.1093/jaoac/63.1.145 ◽

1980 ◽

Vol 63 (1) ◽

pp. 145-148

Author(s):

William P Cochrane ◽

Monique Lanouette ◽

Ralph Grant

Keyword(s):

High Pressure ◽

Flow Rate ◽

Chromatographic Determination ◽

Accurate Method ◽

Naphthaleneacetic Acid ◽

High Pressure Liquid Chromatographic ◽

Ultraviolet Detector ◽

Liquid Chromatographic Determination ◽

Liquid Chromatographic

Abstract A simple, rapid, and accurate method has been developed for the determination of naphthaleneacetamide (NAAmide) residues in apples. After extraction with chloroform, separation is performed on an RP-8 high pressure liquid chromatographic column using acetonitrile-water (30 + 70) buffered to pH 3.5 at a flow rate of 1.7 mi/min. Either a variable wavelength ultraviolet detector set at 220 nm or a fluorometric detector can be used for quantitation. Average recoveries at the 0.01 and 0.1 ppm spiking levels were 83 and 89%, respectively. Incorporation into a previously described method for naphthaleneacetic acid (NAA) residues in apples has resulted in a procedure for the simultaneous determination of NAA and NAAmide.

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Numerical analysis on the static performance of a new piezoelectric membrane restrictor

Industrial Lubrication and Tribology ◽

10.1108/ilt-07-2015-0098 ◽

2016 ◽

Vol 68 (5) ◽

pp. 521-529 ◽

Cited By ~ 2

Author(s):

Zichao Liu ◽

Wei Pan ◽

Changhou Lu ◽

Yongtao Zhang

Keyword(s):

Mathematical Model ◽

Flow Rate ◽

Design Methodology ◽

Reynolds Equation ◽

Structural Parameters ◽

Content Type ◽

Membrane Deformation ◽

Coupled Equations ◽

Deformation Equation ◽

Static Performance

Purpose This paper aims to establish an accurate mathematical model of a piezoelectric membrane restrictor that can be applied to control the shaft’s centerline orbit. Design/methodology/approach The methodology uses three coupled equations to establish a mathematical model of the piezoelectric membrane restrictor – Reynolds equation, the membrane deformation equation and the flow rate equation. A data identification method is used to propose the flow rate formulas for the piezoelectric membrane restrictor. Findings It has been found that the structural parameters, the membrane center deformation and the inlet and outlet pressures of the piezoelectric membrane restrictor have an effect on the static performance of the restrictor. The identified flow rate result of the piezoelectric membrane restrictor is consistent with the models. Originality/value The paper provides an accurate mathematical model of the piezoelectric membrane restrictor which can also be applied to other membrane restrictors.

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Modified determination of fluid resistance for membrane‐type restrictors

Industrial Lubrication and Tribology ◽

10.1108/00368790710746084 ◽

2007 ◽

Vol 59 (3) ◽

pp. 123-131 ◽

Cited By ~ 8

Author(s):

Yuan Kang ◽

Ping‐Chen Shen ◽

Cheng‐Hsign Chen ◽

Yeon‐Pun Chang ◽

Hsing‐Han Lee

Keyword(s):

Fluid Resistance ◽

Membrane Type

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The arbitrary boundary method to determine the performance of membrane-type restrictors

Proceedings of the Institution of Mechanical Engineers Part J Journal of Engineering Tribology ◽

10.1177/1350650120917821 ◽

2020 ◽

Vol 235 (1) ◽

pp. 103-113

Author(s):

Yuanpeng Sha ◽

Changhou Lu ◽

Wei Pan ◽

Shujiang Chen

Keyword(s):

Boundary Condition ◽

Flow Rate ◽

Fluid Pressure ◽

Deformation Method ◽

Arbitrary Boundary ◽

Membrane Deformation ◽

Arbitrary Boundary Condition ◽

Fluid Resistance ◽

Boundary Method ◽

Membrane Type

This paper presents a novel method to determine the flow rate and fluid resistance of membrane-type restrictors. The coupled fluid pressure and membrane deformation is solved utilizing a fluid and structure interaction algorithm. The arbitrary boundary condition of a membrane is properly handled by adding the displacement springs and torsion springs to the boundary nodes of the membrane, and the finite element method is used to calculate the membrane deformation. Three different methods are studied using several case studies: the arbitrary boundary method, the large deformation method, and the traditional method. The results are compared with the experimental data available in the literature. It has been found that among all three methods, the arbitrary boundary method offers the best results. The membrane deformations show a nonlinear relationship with different supply pressures. The results reveal the boundary condition of the membrane is not a fixed boundary or a simply supported boundary; it is an arbitrary boundary condition, which varies with respect to the supply pressure. By taking the statistical model into consideration in the design process, the proposed arbitrary boundary condition method offers the potential to accurately calculate the flow rate and improve the reliability of the designs for membrane-type restrictors.

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