Paper Anemometer Team Taiwan Official Description • Paper Anemometer • When thin strips of paper are placed in an air flow, a noise may be heard. • Investigate how the velocity of the air flow can be deduced from this noise? Problem Analysis • Two qualities of sound may be considered: – Frequency – Strength Decibel Sensor Microphone Experimental Setup Experimental Setup Voltage Regulator Metal Wire Wind Blower Experimental Setup 4 cm Spaced Double 20 cm 3.3 cm Merged Double Experiment Wind velocity is adjusted with a voltage regulator, the input voltage and its corresponding wind velocity is measured. Noise made by the paper is measured in decibels and recorded by a microphone. Experiment: Frequency Chart 1.The frequency spectrum of the noise made by the flapping paper Experiment: Frequency • No specific frequency is seen in the frequency spectrum of the noise • Therefore, we will try to use the intensity of the noise to estimate the velocity of the wind Theory • The sound intensity of a vortex interacting with a surface is proportional to the sixth power of the flow velocity Source: Powell, Alan, Theory of Vortex Sound, The Journal of the Acoustical Society of America, January 1964 Experiment: Intensity 90 Optimal Range 89 88 Decibels 87 86 10.7 m/s 85 84 83 82 0 10 20 30 40 50 60 Paper Length (cm) Chart 1.Finding the optimum paper length for experiment Experiment: Intensity 95 Decibels 90 6cm 9cm 12cm 15cm 85 80 75 6.5 7.5 8.5 9.5 10.5 11.5 Wind Velocity (m/s) Chart 3.The relationship between flow velocity and decibels measured when using different lengths of paper Experiment: Intensity 95 Decibels 90 85 Spaced Double 80 Merged Double 75 Single 70 5 7 9 11 13 Wind Velocity (m/s) Chart 4.The relationship between flow velocity and decibels measured when using different arrangements of 15 cm paper strips. Matching with Theory • According to the theory, the intensity of the noise is proportional to the sixth power of the wind velocity. • We will use v experimental data 6 k I to fit our Matching with Theory 13 Wind Velocity (m/s) 12 6cm 6 Predicted 11 9cm 10 9 Predicted 12cm 9 12 Predicted 8 15cm 15 Predicted 7 6 75 80 85 Decibels 90 95 Matching with Theory Wind Velocity (m/s) 12 11 10 Double 15 Double 15 Predicted 9 Merged 15 Merged 15 Predicted 8 15cm 7 15 Predicted 6 75 80 85 90 Decibels • Experimental results matches well with theory • Deviations seen more often at lower wind velocities Matching with Theory 15cm Single Paper dB V (m/s) Predicted (m/s) Deviation (m/s) Deviation % 79.00 6.80 7.08 -0.28 4.14% 82.60 8.30 8.13 0.17 2.04% 87.40 9.30 9.78 -0.48 5.11% 89.00 10.70 10.39 0.31 2.86% 90.50 11.20 11.01 0.19 1.69% AVG 3.17% Table 1.Deviation of theoretical prediction from experimental results Using the Paper Anemometer • Set up the experimental device with a paper strip and a decibel meter. • Calibrate the device with air flows of different known velocities. • Calculate the ratio k from the velocity-decibel relationship. Using the Paper Anemometer • Blow on the paper strip with an air flow of unknown velocity and measure the sound pressure level. • Convert decibels to sound intensity. Using the relationship v 6 I , the velocity of the air flow may be obtained.