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Comparison of the Models of the Air Gauge Static Characteristics

Jermak C. J., Piątkowski R., Dereżyński J., Rucki M.

Archive of Mechanical Engineering

2017

Vol. LXIV, nr 1

93--110

In the article, the authors analyze and discuss several models used to the calculation of air gauge characteristics. The model based on the actual mass flow (which is smaller than the theoretical one) was proposed, too. Calculations have been performed with a dedicated software with the second critical parameters included. The air gauge static characteristics calculated with 6 different models were compared with the experimental data. It appeared that the second critical parameters model (SCP) provided the characteristics close to the experimental ones, with an error of ca. 3% within the air gauge measuring range.

Mathematical model of dynamic work conditions in the measuring chamber of an air gauge

Jermak C. J., Spyra A., Rucki M.

Metrology and Measurement Systems

2012

Vol. 19, nr 1

29-38

The goal of the proposed computational model was to evaluate the dynamical properties of air gauges in order to exploit them in such industrial applications as in-process control, form deviation measurement, dynamical measurement. The model is based on Reynolds equations complemented by the k-ε turbulence model. The boundary conditions were set in different areas (axis of the chamber, side surfaces, inlet pipeline and outlet cross-section) as Dirichlet's and Neumann's ones. The TDMA method was applied and the efficiency of the calculations was increased due to the "line-by-line" procedure. The proposed model proved to be accurate and useful for non-stationary two-dimensional flow through the air gauge measuring chamber.

Evaluation of the response time of air gauges in industrial applications

Jermak C. J., Rucki M.

Metrology and Measurement Systems

2009

Vol. 16, nr 4

689-700

The goal of the investigations was to evaluate the dynamical properties of air gauges in order to exploit them in such industrial applications as in-process control, form deviation measurement, dynamical measurement. As an important parameter, the time response was analyzed theoretically and experiments were performed in order to verify the proposed calculation model. The analyzed air gauges were applied in the devices for non-contact measurement of roundness and cylindricity, as well as in the contour and waviness measurement device. Because of evident physical conditions of experiments, the input signal should not be treated as an orthogonal step, but as a quasi-trapezoidal step which could be approximated in simulations as a trapezoidal one. The time response indicates that the air gauges with small measuring chambers should be treated as first-order dynamic systems.