This study evaluates the performance of three theoretical models for correcting dynamic pressure affected by tube length. The experiments involved measuring sinusoidal pressure waves with varying frequency bandwidths, using tubing systems ranging from 20 cm to 300 cm in length including multiple tubing systems connecting three or more tubes. The results showed that the Bergh and Tijdeman models, with constant and variable polytropic parameters respectively, had superior correction performance for various tube lengths, while the Whitmore & Leondes model showed discrepancies. The Bergh & Tijdeman model, with a polytropic parameter of 1.4, is recommended due to its convenience and accuracy. Furthermore, including the inner volume of the pressure transducer in the theoretical model was found to be crucial for accurate correction, as not doing so caused significant errors. The Bergh & Tijdeman model was also found to efficiently correct tube length effects in multiple tubing systems, eliminating the need for time-consuming and laborious experiments.
Temperature correction trans-membrane pressure (TC-TMP) is frequently used as a fouling index in membrane water treatment plants. TC-TMP equation is derived based on an assumption that the total membrane resistance (i.e. the sum of the intrinsic membrane resistance and fouling resistance) is not affected by temperature. This work verified the validity of this assumption using microfiltration (MF) and ultrafiltration (UF) membranes with and without fouling. The foulants used in the work were kaolin (inorganic) and humic acid (organic). The intrinsic resistances of MF and UF membranes remains at constant values regardless of temperature change. When the same amount of foulants were accumulated on the membrane, inorganic fouling resistance with kaolin was constant regardless of temperature change while organic fouling resistance with humic acid decreased at higher temperatures, which means that TC-TMP cannot be used as a fouling index when organic fouling occurs in a real field application. Since TC-TMP underestimates the amount of fouling at higher temperatures, more attention should be necessary in the operation of membrane water treatment plant in a hotter season like summer.
Measurement of fluctuating pressure by tube system is carefully designed due to the organ-pipe resonance. It is necessary to correct the pressure before analysis. The three method for correction the distortion fluctuation pressure short tube length and the frequency response functions and insert a restrictor in the tube to increase the damping. The first method is useful when the tube length is short. In second method, the distorted signal through the tubing transformed into the frequency domain, dividing by transfer function and inverse fourier transforming back into the time domain gives the required pressure signal. In this paper three types of tubing which have different length of 100cm, 150cm, 200cm were experimented the distorted signal and correct the distortion signal