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

Abstract

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.

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

“…In the simply supported large deflection (SSLD) method, the energy method is used to determine the membrane deformation. The bending deformation energy and strain energy can be obtained as 3 where B=durdr+12(dwdr)2. The total potential energy can be expressed as …”

“…Pan et al. 3 puts forward that when the membrane deformation is in the same order of magnitude with the membrane thickness, the theory of large deflection needs to be applied, and the FSI algorithm must be adopted to accurately calculate the flow rate. However, these methods (i.e.…”

Design and Performance Analysis of Dual Membrane Restrictor for Hydrostatic Bearing

“…Kang [9][10][11] proposed ways to identify the design parameters of membranetype restrictors of hydrostatic bearings and proposed a modified prediction model for a membrane restrictor. Bassani [12], Chang [13] and Pan [14] also worked on the parameter design and performance analysis off membrane-type restrictor. Chen et al [15] performed a fluid-structure interaction analysis of the diaphragm to more acurrately model the behavior of membrane restrictors.…”