抄録
The purpose of this paper is to investigate the form of Probability Density Function (PDF) of pressure fluctuation in solid-liquid flow using the Maximum Entropy Principle (MEP).
By the analysis using MEP, it is found that PDF is expressed as Eq.(6), In Eq.(6).λk (k=0, 1, N) are the unknown coefficients and they are determined by the results of the experiment.
The experiments of pressure fluctuation measurement are carried out in the apparatus shown in Fig. 2. The pressure is measured by the pressure transducer, and sampling clock is 10 msec, sampling number is 2048, cut off frequency in Low Pass Filter is 10 Hz.
As shown in Fig. 3 and 4, PDF is expressed by the MEP distribution of 2 moments in the higher velocities. On the other hand, as shown in Fig. 9, PDF is not expressed by the MEP distribution of 2 moments and is expressed by the one of 4 momests.
In the result, it is concluded that PDF of pressure fluctuation in solid-liquid flow is expressed by the MEP distribution of 4 moments.