Submitted:
22 March 2024
Posted:
25 March 2024
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Abstract
Keywords:
1. Introduction
2. Materials and Methods
2.1. Experimental Set-Up
| Type of route | Distance travelled per trip | Average temperature (°C) | Strength of the wind (km/h) | Relative humidity (%) |
|---|---|---|---|---|
| Urban (U) | 45 km | 17 | 7 | 45 |
| Suburban (SUB) | 65 km | 15 | 11 | 39 |
| Highway (H) | 85 km | 18 | 8 | 53 |



2.2. Analysis of the Tyre-Road Surface Particles by SEM-EDX - Statistical Analysis
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- Original data - Extraction of particle size ranges
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- Identification of intervals in order of importance
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- Assignment of intervals to identified sets of different identified particles groups
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- Homogenization of the sets according to their predominance. This step assumed, a priori, that the sets of the same identified particles were homogeneous
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- Start of the calculations and then construction of the sets of particles
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- Result with a hierarchy tree by granulometric intervals and by chemical element sets, having no consequences on relative loss of inertia of the used calculation algorithm
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- The last processing step checks error propagation and providing means, Min, gravity centres, …
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- Import dataset in a new data matrix data
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- Build this matrix of the scaled data and apply the Ward’s minimum variance method hierarchical clustering algorithm
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- Identify and assess percentages of elements inside the same set. This step required the separation of experimental data on separate homogeneous sets of particles having equal variance that could minimize inertia in each set of data. This allowed the division of each set of data into three data sets (urban, suburban and highway), with the advantage of giving centroids of sets that measured how coherence was inside each set of identified particles
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- Choose the number of sets of identified particles that seemed relevant based on data measurements
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- Build the tree and interpret the obtained sets using the principal component analysis of FactoMineR package
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- Interpret the partition of each set versus the obtained percentages of each chemical element
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- Based on the previous steps, data analysis of results was grouped by type of route (urban – suburban – highway trips), granulometry interval and percentage of chemical elements which were identified.

3. Results

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- Particle size analyser: (30, 35, 43) 10+12 particles.
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- SEM-EDX: (8.7, 5.7, 3.8) 10+6 particles.
- A high factor of more that 10+6 is found between the particle size values and the assessment of the total number of particles from the SEM-EDX results. This seems natural because the collection on the membranes is purely qualitative and serves more for chemical identification.
- Despite uncertainties in both particle size count, there is an inversion of the curves between particle size and chemical particle counting as a function of velocity. On the one hand, considering SEM-EDX counting, more particles were collected in the urban area than on highways because of the vehicle speed. This is certainly due to the dynamics of emissions as a function. On the other hand, the inversion of this curve, obtained by the particles collected by granulometry method, seems in favour of the speed. The faster we drive, the more we collect. This Figure confirms that the physico-chemistry is preserved with this double collection independently of the variations that can be observed. Therefore, precaution must be taken when counting particles from the collection on membranes for chemical analyses. In this case, the emission dynamics, which is a function of the speed of the vehicle, could not be confirmed.
| Predominance order of particle sizes |
U | SUB | H |
|---|---|---|---|
| 1st class | <1µm | <1µm | <1µm |
| 2nd class | 1-2µm | 1-2µm | 1-2µm |
| 3rd class | - | 2-3µm | 2-3µm |
| 4th class | - | - | 3-4µm |



| Identified pollutants by SEM-EDX |
Emission Factor [#/km *10+9] |
Percentages (compared to the total number) | |
| 1 | Aluminosilicate | 18142±597 | 50,9% |
| 2 | C[Fe] | 4881±175 | 13,7% |
| 3 | Aluminum -free silica |
2612±57 | 7,3% |
| 4 | SiFe | 2206±60 | 6,2% |
| 5 | Si | 1989±36 | 5,6% |
| 6 | C[Ca] | 1558±32 | 4,4% |
| 7 | FeO | 1013±33 | 2,8% |
| 8 | CaO | 789±26 | 2,2% |
| 9 | C[S] | 667±25 | 1,9% |
| 10 | C[Al] | 436±27 | 1,2% |
| 11 | PCa | 329±17 | 0,9% |
| 12 | C[Ti] | 281±11 | 0,8% |
| 13 | C[Zn] | 240±8 | 0,7% |
| 14 | C[Cu] | 152±5 | 0,4% |
| 15 | FeCr | 129±9 | 0,4% |
| 16 | SiTi | 64±7 | 0,2% |
| 17 | C[Zr] | 58±9 | 0,2% |
| 18 | C[Ba] | 46±11 | 0,1% |
| 19 | C[Cl] | 39±11 | 0,1% |
4. Conclusions
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