Computer Modeling and Simulation of Ultrasonic Signal Processing and Measurements
Table 3
(a) Comparison of measured and simulated values of ultrasonic velocities and attenuations in binary liquid mixtures (methanol and benzene) at 25°C. (b) Comparison of measured and simulated values of ultrasonic velocities and attenuations in binary liquid mixtures (methanol and acetone) at 25°C.
(a)
Binary liquid mixture
Mole fraction of
Measured
Simulated
Velocity (m/s)
α (dB/m)
Velocity (m/s)
α (dB/m)
Methanol () + Benzene ()
0.1952
1196.015
29.224
1196.289
28.877
0.4834
1135.165
20.279
1135.426
20.038
0.6858
1124.155
15.185
1124.409
15.004
0.8359
1110.130
11.305
1110.378
11.171
0.9516
1066.865
9.555
1067.105
9.441
Statistical analysis
Greatest percentage deviation of simulated velocity from experimental value
0.022%
Greatest percentage deviation of simulated attenuation from experimental value
1.20%
Calculated chi-squared value (velocity)
0.0002
Calculated chi-squared value (attenuation)
0.0122
Critical values of chi-square at 0.05 level (degree of freedom = 4)
9.488
(b)
Binary Liquid Mixture
Mole fraction of
Measured
Simulated
Velocity (m/s)
α (dB/m)
Velocity (m/s)
α (dB/m)
Methanol () + Acetone ()
0.1678
1095.125
29.245
1095.375
28.896
0.4375
1094.735
23.455
1094.985
23.175
0.6447
1087.045
19.952
1087.287
19.715
0.8090
1069.845
14.725
1069.608
14.549
0.9423
1057.055
13.225
1057.291
13.067
Statistical analysis
Greatest percentage deviation of simulated velocity from experimental value
0.022%
Greatest percentage deviation of simulated attenuation from experimental value
1.20%
Calculated chi-squared value (Velocity)
0.0002
Calculated chi-squared value (Attenuation)
0.0144
Critical values of chi-square at 0.05 level (degree of freedom = 4)
