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r of the filtering effect of the vessel reactor will provide vital information for the transducer design and signal processing methodologies. MODEL ? A simple model with four layers (waterglassoilglass) representing the vessel reactor has been simulated using impulses and Hertz excitation functions. PARTICLES PRESSURE VARIATION MODEL VALIDATION RX: PVDF strip shielded. TX: 250 kHz wideband transducer GlassOilGlass layers. Experimental results Model prediction VALIDATION RESULTS SIMULATIONS Different simulations have been carried out: ? Single particle simulations different sizes: (200400600 um) ? Multiple particle simulations different numbers (1 – 3 – 7 particles) of sizes (200400600 um) ? Spatial distribution (across the inner surface of the vessel) ? Random particles (random position and random delay) SIMULATION OF ONE PARTICLE 200 um. RESULTS: FREQUENCY SHIFTING ? The experimental results showed the same frequency shifting. ? PARTICLE SIZES information can be identify by a downwards frequency shifting ? A shift of the spectrum toward lower frequencies is due to the increasing of the particle surface area and impact time 0 1 2 3 x 10 5 0 1 DECONVOLUTION: 1000 RANDOM particles dif f erent sizes 200um 400um 600um Modeling of 1000 random particles (normalized amplitude). RESULTS: CONCENTRATION ? Concentration effects are evident: increasing the number of particles, the energy of the signal increases. ? Matching with the experimental results 1 2 3 4 5 6 7 0 Energy FULL MODEL 200,400,600um 1,3,7 particles Amplitude a.u. Number of particles 200um 400um 600um 0 0 . 5 1 1 . 5 2 2 . 5 3x 1 0500 . 20 . 40 . 60 . 811 . 21 . 4x 1 05Fr e q u e n c y [ H z ]Amplitud