R. Monitto and
N. Tuccitto*
Centro Studi Faber and Dipartimento di Scienze Chimiche, Università di Catania, V.le A. Doria, 6, 95125 Catania, Italy. E-mail: n.tuccitto@centrostudifaber.com; Tel: +39 3332446303
First published on 10th July 2014
A detailed shadow study of a complex chemical plant was accomplished by means of a very simple approach. The gathering of relevant information related to the 3D-distribution of obstacles was obtained with multivariate data treatment. The dispersion modelling of chemicals showed good agreement with experimental results.
We developed a multisensory device, named here shadow ribbon, based on physical and chemical5 sensors: photoionization detector, GPS, compass and luminosity. It is able to obtain reliably the position, the height and the permeability of the obstacles. The approach is based to the reconstruction of obstacles' permeability from the shadow of them. We acquired a detailed shadow pattern during several sunny days to gather information about wind permeability. We used such information to model the dispersion of chemicals in industrial plants.
In order to illustrate the presented approach, first let us take in account a small and very simple area of a model chemical plant composed of two bulky apparatus with a rack pipe connecting them as shown in Fig. 1. The two bulky apparatus will have obvious effect on the airflow but even if on first approximation, the rack pipe can be neglected, tunnel wind simulation shown that the effect of the rack pipe on the airflow is significant in terms of turbulence. Since in the typical real chemical plants such kind of situation occurs often, it is worth to note that it causes noteworthy consequences on the chemicals dispersion in air. The aim of the presented approach is to gather such kind of information from the analysis of the shadow shapes.
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| Fig. 1 Wind Tunnel simulation of a small area of a model chemical plant composed of two bulky apparatus with a rack pipe connecting them as shown. | ||
Fig. 2a shows the simulated shadowing effect of the very simple industrial apparatus at noon. The projected shadow indicates that between the two bulky structures there is a suspended rack pipe. The expected signal acquired by scanning the shadow ribbon across the red line is shown in false colors in Fig. 2b. The bulky apparatus are characterized by a sharp difference between light and dark zone; on the other hand rack pipe can be easily discriminated because of typical intermittent signals. Definitely, the key of our approach can be simply explained: by scanning the shadow ribbon across the streets of a model chemical plan we discriminate the bulky obstacles from the porous structures affecting chemical's dispersion. The study on a model chemical plan by means of shadow ribbon scanning through streets is presented here.‡ The shadow ribbon is 3 meters tall; scanning has been performed each 25 meters across the plant, in September at sunrise and at noon in order to characterize obstacles directed thought east west and north south respectively. According to the plant dimension hundreds of point measurements were acquired. Measurement has been acquires by using several shadow ribbons in order to acquire all of data within one hour. Each device is equipped with a PC-based data acquisition interface able to store light sensors data and GPS coordinates.§ After the acquisition run all data were transferred from each PC embedded in the devices to a single workstation in order to perform further data treatment. Fig. 3 shows typical signals acquired by means of shadow ribbon scanning close to an in air suspended pipe rack arranged in horizontal orientation.
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| Fig. 2 Simulated shadowing effect of same very simple industrial apparatus of Fig. 1 at noon in September at latitude: 42°19′ North, longitude: 71°05′ West. | ||
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| Fig. 3 Shadow ribbon signal acquired scanning close to an in air suspended pipe rack arranged in horizontal orientation. | ||
The massive amount of data acquire by scanning the whole plant have been collected in a matrix and analyzed by the multivariate approach known as Principal Component Analysis (PCA).6 Global positioning system coordinates represent the objects; lighting at several elevations from ground represents the variables.¶ Fig. 4 shows the scores plot of the first three principal components. In such kind of plot a points' clustering represents likeness of objects (namely GPS coordinates) in terms of observed variables (i.e. shadows). Actually in the scores plot can be clearly discriminated at list 3 clusters. Clusters are related to the shadowing effect of (i) fully shadowing bulky apparatus, (ii) partially shadowing bulky apparatus starting from the ground and in air suspended, (iii) no shadow of open areas. Last cluster is very large because of the large variability of such kind of data.
The classification gained by the principal component analysis has been transferred to the plant planimetry by means of GPS coordinates reporting obstacles characterized by different wind permeability deduced by the shadow study. By means of the innovative approach proposed here it is easily feasible reconstructing maps of bulky obstacles, porous areas and open patch zone in order to perform accurate chemicals dispersion modeling. We used a Gaussian Puff model to predict the chemical dispersion through the plant.7 Centers of mass of the individual puffs are moved along the trajectory generated according to the wind field and the Puff is diffused according to a Gaussian shape each step of iteration. Mass transport depends on the wind and spreading of chemicals depends on the σ of the Gaussian curve. The concentration within a Puff falls off from the center according to a Gaussian or normal distribution. Taking the x-axis along the direction of mean wind flow U (m s−1), the y-axis as crosswind and the z-axis as vertical, the Gaussian Puff model has the following form:
We found a relation between the dispersion coefficients and the obstacles porosity obtained by shadow study. We obtained tree level of dependence. In the case of open patch, σ depends from the wind speed and distance travelled by the Puff. The bulky apparatus and buildings obtained from the shadow study have perfect reflecting surfaces and σ values are increased according to the dimension of the obstacles. Porous areas recognized by means of shadow ribbon are characterized by high dispersion coefficients values because of induced turbulence. Even if results obtained from the modeling show a worthy agreement with experimental result, lake of goodness fitting is likely due to the presence of several other VOCs sources in the actual chemical plant. Anyway, our principal aim here is to demonstrate the powerful of our innovative approach in the modeling of chemicals in complex industrial plans.
Footnotes |
| † Electronic supplementary information (ESI) available. See DOI: 10.1039/c4ra05234j |
| ‡ Shadow ribbon was assembled on purpose. Light sensors (Avago Technologies) were purchased from RS-components. VOCs detector was purchased from Alphasense, UK. JUPITER SE880 was used as GPS module. |
| § Devices are equipped with a fanless ragged industrial box PC (ARK-3360F-D5A1E from DIGIMAX, Italy) and a data acquisition DAQ interface based on an open-source electronics prototyping platform Arduino-based (Arduino-ONE, https://www.arduino.cc). |
| ¶ PCA was performed involving hundreds shadow-ribbon scans by means of SIMCA-P software (Umetrics, E-mail: https://www.umetrics.com). Before multivariate analysis, the intensities of all the signals in the data set were normalized in order to eliminate any systematic differences. The dataset was also mean-centered to ensure that the differences in samples were due to variation around the means and not to the variance of the means. |
| This journal is © The Royal Society of Chemistry 2014 |