Electrical circuit to describe the system transducer (1)—delay line, (2)—wall, (3)—fouling, (4) with resistors R i , capacitors C i , voltage U i , and current I i of every subcircuit i.
Mechanical circuit of the system transducer (1)—delay line, (2)—steel wall, (3)—fouling, (4) using springs E i , dashpots η i , stress σ i , and strain ɛ i for every subcircuit i.
Three port notation of an ultrasonic transducer. (a) The forces F 1,2 and velocities v 1,2 at the surfaces of the transducer with area A and thickness l are connected with the electrical port (voltage V, current I ). (b) KLM model with capacitance C 0 , reactance X 1 , and transformer (ratio 1:N) from the electrical to the mechanical part.
Used ports for description of the equivalent circuits: Setup with fouling.
Sketch of the flow channel where fouling is produced with the ultrasonic detection unit.
Fouling made in developed setup.
(a) Typical signal of the ultrasonic transducer on the planar measuring section. The echo used for analysis is framed. (b) Short time energy (STE) with standard deviation for different pumping rates measured at different days. STE does not differ strongly.
(a) STE of different solid couplings used between delay line and planar channel. The silicone foil (Si) with 60 °SH and thicknesses of 0.3 mm and 0.5 mm showed highest STE but Aqualene (Aq) displayed better heat and mechanical stability (all results with standard deviation). (b) PEEK, PMMA, and a PMMA cylinder filled with water were used as delay line. PMMA showed highest STE (with standard deviation).
Parameters used for the sensitivity analysis of the electrical circuit.
Parameters used for the sensitivity analysis of the mechanical circuit.
Comparison of different fluid dynamic parameters.
Ranking of the weights from the sensitivity analysis for the electrical circuit.
Ranking of the weights from the sensitivity analysis of the mechanical circuit.
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