Abstract
In the article a differential equation describing transient behavior of variable area (VA) meters has been developed and validated experimentally for air as a measured fluid and for two float shapes—plumb bob and sphere. A modified version of simplex algorithm adapted for nonlinear constraint optimization problems was applied to minimize the settling time of VA meters in two cases. In the first case both the float and tube geometry were altered. In the second case only the float geometry was modified. The second case has been validated experimentally. The theory and experiment is in reasonable agreement (under 5% of full scale), which is satisfactory for the purposes of optimization of VA flowmeters dynamic performance. Analytical model of VA flowmeter has been proven to be a proper tool for optimization. Settling times obtained during the optimization process were several times shorter than these of commercially manufactured instruments. Overshoot has not exceeded the assumed value of 3%.
Highlights
Over the recent decades various versions of variable area (VA) flowmeters have grown to maturity.E.g., classic “see through” rotameters, orifice VA meters or VA flow transducers
The settling time rises with the decreasing value of step change, which is in contrast to a typical linear system
It has been proven to be a proper tool for optimization
Summary
Over the recent decades various versions of variable area (VA) flowmeters have grown to maturity. Simple solution consists of a linear variable differential transformer [6] Another possibility is the application of Hall sensors [7,8], magnetoresistive sensors matrix parallel to the tube [9] or capacitance transmitters [10]. In this case transducer does not exert forces on the float and does not influence the VA meter dynamics. This simple and economical flowmeter continues to be one of the most widely used instruments for low and medium flow rates in numerous industry branches [11,12]. Methodology has been proven to be of scientific and practical significance
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