Identifying synchronization between flow boiling inside two parallel minichannels using joint recurrence plots

Abstract

In this study the flow boiling inside two parallel tubes with a diameter of 1 mm was analysed in order to determine synchronization level between the channels. An experimental setup was built to investigate the pressure and temperature oscillation in parallel minichannels. During the experiments, the two-phase flow patterns were recorded by high speed camera and also the presence of vapour in channel outlet was measured by laser-phototransistor sensor. Various types of two-phase flow instabilities were observed in investigated the system. Experiment was carried out for various heat rate and mass flux. The method of identifying synchronization between flow boiling between parallel channel will be presented on measurement data recorded for heat rate q equal to 50.15 W and the average mass flux ṁ equal to 38.8 kg/m2s. The signal was subjected to a nonlinear analysis based on the joint recurrence plot (JRP) method. The JRP method was carried out in order to determine synchronization level between signals from parallel channels. Results of pressure and laser-phototransistor oscillation analysis shows that during flow boiling phase synchronization and phase shift between the channels can be detected using appropriate RQA indicators.

Capturing synchronization with complexity measure of ordinal pattern transition network constructed by crossplot

“…Referring to the research results of the literature [27], the recurrence rate (RR) of JORP is adopted as the indicator to measure the synchronization of two time series and can be obtained as follows: RR=true01Nop2false∑i,j=1NnormalopnormalJORPi,j.…”

“…Heaviside is the Heaviside( t ) function that yields 0 if t < 0 or 1 otherwise. Existing research indicates that the JRP are more appropriate for studying two interacting systems and may be useful for detecting generalized synchronization [ 26 , 27 ]. Usually, the values of the thresholds ε x and ε y have a significant impact on the analysis results.…”

“…further proposed that the joint recurrence plot (JRP) can graphically describe the simultaneous recurrences in two or more dynamical systems [ 25 ]. The existing research results show that JRP is a useful candidate method for discovering generalized synchronization [ 26 , 27 ].…”

Fault diagnosis of chemical processes based on joint recurrence quantification analysis

“…In the present study, attention has been paid to the use of methods that have a high ability to extract information from time series of both continuous and batch processes with missing data in the absence of labeling (unsupervised learning). The recurrence analysis method was used as a powerful method in the analysis of non-stationary, short, and nonlinear time series (Afonso et al 2019;Grzybowski et al 2018;Ziaei-Halimejani et al 2018;Marwan et al 2007). In this regard, Ziaei-Halimejani, Zarghami, introduced the recurrence plot (RP)-clustering methods for the fault diagnosis of Tennessee Eastman and four water tanks processes.…”