Densimeter Filling Error Detection via Pressure-Dependent Density
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Solution Overview
Problem
Current methods for determining density measurements using flexural resonators are hindered by gas bubbles, particularly air bubbles, which lead to inaccurate results and are difficult to detect quantitatively, especially in intransparent liquids, resulting in high additional costs due to lengthy measurement processes.
Innovation Solution
A method that involves determining a pressure-dependent density difference by measuring the liquid at multiple pressures, using the equation Δρ(P) = (P-P0)·(ρ_error/P + 1/E), where E is the compressibility of the liquid, to calculate a quantitative measurement error caused by gas bubbles, allowing for accurate detection of filling errors without the need for additional time-consuming measurements.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If optical examination methods are used to detect gas bubbles, then filling errors can be recognized, but the method is only suitable for transparent liquids and flexural resonators, not for intransparent liquids
Solution Approach 1:
The patent replaces optical examination methods with a mechanical/physical measurement approach. By measuring the density of the liquid and comparing it to reference density values, the method detects gas bubbles through density differences rather than visual inspection. This substitution enables detection in intransparent liquids where optical methods fail.
2Reliability
If repeated measurements are conducted to detect filling errors, then gas bubbles in intransparent liquids can be detected, but the measuring time is at least doubled
Solution Approach 1:
The patent performs a preliminary density measurement and compares it to reference density values stored in a database. By evaluating whether the measured density deviates from expected values, the method can detect gas bubbles in a single measurement cycle rather than requiring repeated measurements, thus halving the measurement time while maintaining detection accuracy.
3Measurement precision
If the liquid is heated or cooled to a target temperature to achieve reproducible measurement conditions, then measurement accuracy is improved, but the measurement time becomes very long
Solution Approach 1:
The patent changes the approach by not requiring temperature equilibrium. Instead, it measures density at the actual temperature and compares it to temperature-specific reference density values. This parameter change approach allows measurements to be taken immediately without time-consuming temperature adjustment, while still achieving accurate results through proper reference comparison.
4Measurement precision
If conventional density measurement methods are used, then density values can be determined, but gas bubbles lead to wrong measurement results without providing information on the magnitude of measurement error
Solution Approach 1:
The patent introduces a feedback mechanism by comparing measured density values against reference density values stored in a database. This comparison provides feedback information about the presence and magnitude of measurement errors caused by gas bubbles. The system can quantify the deviation from expected values, enabling users to understand the extent of measurement error without requiring repeated measurements or additional equipment.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This method provides a quantitative assessment of measurement errors due to gas bubbles, reducing unnecessary measurements and saving time by identifying filling errors during the initial measurement process, while also accounting for temperature and pressure variations, thus improving measurement accuracy and efficiency.
Implementation Method 1
a natural oscillation may be e.g. induced piezoelectrically or magnetically with a natural frequency of the flexural resonator
Implementation Method 2
the liquid contained in the flexural resonator changes its mass compared to an empty flexural resonator and thus the natural frequency of the flexural resonator
Data Source
AI summary
A method for determining a measurement error caused by a filling error, in particular the presence of gas bubbles, during measurement of the density of a liquid by means of a densimeter having a flexural resonator containing the liquid to be measured. During a measuring operation, a period duration of an oscillation of the flexural resonator induced by an induction unit is measured by a measuring device and the density of the liquid is determined by an evaluation unit.


