3.1. Characterization of the chemical structures of the PPDs
The chemical structure of C14MC-MA-MCA trimer were analyzed using FT-IR and 1H NMR spectroscopy (Figure S4 and S5; detailed spectra are provided in the Supplemental File). The molecular weight and polydispersity index of C14MC-MA-MCA were determined through gel permeation chromatography (GPC), as shown in Table 2. The weight-average molecular weight (Mw) of C14MC-MA-MCA ranged from 2.35×104 to 3.50×104 g/mol, with a number-average molecular weight (Mn) ranging from 0.85×104 to 1.24×104 g/mol. Previous studies suggest that molecular weights between 0.40×104 and 10×104 g/mol exhibit excellent performance [21, 23]. Furthermore, the polydispersity index (Mw/Mn) ranged from 2.296 to 3.809, showing an increasing trend with higher proportions of monomers. This indicates that as the monomer ratio increases, the polymer's molecular weight distribution widens and its polydispersity increases.
Table 2
Molecular weight of C14MC-MA-MCA
Copolymer | Mw (g/mol) | Mn (g/mol) | Mw/Mn |
C14MC-MA-MCA(1:1:1) | 26011 | 11331 | 2.296 |
C14MC-MA-MCA(2:1:1) | 23469 | 9103 | 2.578 |
C14MC-MA-MCA(3:1:1) | 34973 | 12407 | 2.819 |
C14MC-MA-MCA(4:1:1) | 28594 | 8507 | 3.361 |
C14MC-MA-MCA(5:1:1) | 32346 | 8492 | 3.809 |
C14MC-MA-MCA(6:1:1) | 31322 | 11885 | 2.635 |
3.2. Effect of C14MC-MA-MCA on the cold flow properties of diesel
The changes in SP of coal-based diesel before and after treatment with C14MC-MA-MCA at different dosages are illustrated in Fig. 3. ΔSP denotes the difference in SP of the diesel before and after treatment with C14MC-MA-MCA. As depicted in Fig. 6, across the range of 500–2000 ppm, all variants of C14MC-MA-MCA exhibited significant reductions in SP, with ΔSP values exceeding 25℃. Initially, the reduction in SP increased with increasing additive concentration, peaking at C14MC-MA-MCA (3:1:1) at 1500 ppm, where SP decreased from − 4℃ to -42℃, a decrease of 38℃. However, beyond 1500 ppm, the SP reduction effect weakened. This is attributed to the optimal dosage of PPDs preventing the formation of a network structure of wax crystals, thereby lowering the diesel's SP. Yet, excessive PPDs can lead to more crystallization points, facilitating the formation of a layered network that diminishes the SP-lowering effect.
Moreover, the monomer ratio of C14MC-MA-MCA significantly influences its effectiveness in reducing diesel SP. At 1500 ppm, C14MC-MA-MCA (5:1:1) and C14MC-MA-MA (2:1:1) lowered SP from − 4℃ to -37℃, a reduction of 33℃, which was notably less effective than C14MC-MA-MCA (3:1:1). This difference arises because lower monomer ratios result in fewer side-chain alkyl esters in PPDs, reducing their adsorption on n-alkanes and allowing larger wax crystals to form and precipitate more easily. Conversely, higher proportions of alkyl esters provide more crystallization sites,enhancing adsorption of n-alkanes and promoting the bonding of wax crystals into a three-dimensional network structure resembling diesel wax crystals, thereby weakening the SP-lowering effect. Hence, C14MC-MA-MCA (3:1:1) is optimal based on these findings.
3.3. Viscosity analysis
At the same temperature, diesel exhibits better fluidity with lower viscosity. A temperature-viscosity curve serves to illustrate diesel's fluidity across different temperatures. Figure 4 displays these curves for coal-based diesel before and after treatment with C14MC-MA-MCA. As depicted, the addition of PPDs shows no impact on diesel viscosity above 5 ℃, indicating excellent dispersibility of C14MC-MA-MCA in diesel. Generally, diesel viscosity increases as temperature decreases. However, the addition of C14MC-MA-MCA notably mitigates this viscosity rise. Particularly, C14MC-MA-MCA (3:1:1) demonstrates the most effective viscosity reduction, reducing diesel viscosity at -7 ℃ from 17.56 mPa·s to 7.53 mPa·s—a 57.12% decrease when added at 1500 ppm. This outcome aligns with C14MC-MA-MCA's inhibitory effect on wax crystal formation. The long-chain alkyl side of C14MC-MA-MCA efficiently adsorbs n-alkanes in diesel, while MA and MCA enhance wax crystal dispersion and inhibit crystal growth, significantly enhancing diesel's low-temperature fluidity by reducing viscosity
3.4. DSC analysis
Table 3
Data Analysis of the DSC Curves
Samples | T onset (°C) | T peak (°C) | T endset (°C) | ΔH (J/g) |
Untreated diesel | 7.68 | 2.68 | -43.39 | 15.21 |
Diesel + C14MC-MA-MCA(3:1:1)1500ppm | 8.19 | 3.19 | -43.15 | 13.79 |
Diesel + C14MC-MA-MCA(5:1:1)1500ppm | 8.19 | 3.19 | -43.26 | 14.31 |
Diesel + C14MC-MA-MCA(5:1:1)500ppm | 7.19 | 2.69 | -43.85 | 14.35 |
The DSC curves and analysis of diesel before and after treatment with C14MC-MA-MCA are presented in Fig. 5 and Table 3. Tonset indicates the onset temperature of the peak, marking the temperature at which wax crystals begin to precipitate. The slope of the peak reflects the rate of wax crystal deposition in diesel, while ΔH represents the enthalpy of the liquid-solid phase transition, indicating wax crystals dispersion stability in low-temperature conditions.
The results show that the Tonset and Tpeak of untreated coal-based diesel are 7.68 ℃ and 2.68 ℃, diesel treated with C14MC-MA-MCA shows minimal change in Tonset (ranging from 7.19 ℃ to 8.19 ℃) and Tpeak (ranging from 2.69 ℃ to 3.19 ℃). Furthermore, C14MC-MA-MCA treatment does not alter the slope of the diesel DSC curve. This suggests that the addition of PPDs has negligible influence on the temperature at which wax crystals initiate precipitation in diesel, so does it affect the rate of wax crystal precipitation. The ΔH of treated coal-based diesel is significantly lower than that of untreated diesel, indicating improved dispersion stability post C14MC-MA-MCA treatment. Specifically, the ΔH of C14MC-MA-MCA (3:1:1) treated diesel is notably lower than that of C14MC-MA-MCA (5:1:1). Among these, the diesel treated with 1500 ppm of C14MC-MA-MCA (3:1:1) exhibits the lowest ΔH (13.79 J/g), highlighting wax crystals superior dispersion stability in coal-based diesel [23–24]. These findings are consistent with the analyses presented in Fig. 4.
3.5. POM analysis
POM can visually observe the crystal shape, size, dispersion, and their changes with external temperature of diesel wax. Figure 6 presents POM images of coal-based diesel before and after treatment with 1500 ppm of C14MC-MA-MCA (3:1:1) at -10 ℃ and − 20 ℃. In Fig. 6a, at -10 ℃, untreated diesel shows large-scale layered wax structures with particle sizes around 30 µm. When the temperature drops to -20 ℃, particle sizes increase to approximately 40–50 µm, with thicker layered wax crystals forming a dense three-dimensional network. This contributes to reduced fluidity in coal-based diesel. In Fig. 6b, after treatment with 1500 ppm of C14MC-MA-MCA (3:1:1), notable changes are observed in the shape, size, and quantity of wax crystals. Larger wax crystals (> 20 µm) are seldom seen. At -10 ℃, wax crystals are smaller and more numerous, exhibiting a rice-like structure measuring about 30 µm in length and 5 µm in width. Upon further cooling to -20°C, there are no significant changes in shape and size, but there is a marked increase in the quantity of wax crystals. This suggests that after C14MC-MA-MCA (3:1:1) treatment, wax crystals struggle to form a continuous layered network structure. Consequently, the treatment notably enhances the low-temperature fluidity of coal-based diesel. These findings align with the analysis results depicted in Figs. 3–4.
3.6. Mechanism analysis
According to the experimental results, the molecular mechanism of C14MC-MA-MCA was examined, as illustrated in Fig. 7. At lower temperatures, n-alkanes present in coal-based diesel tend to precipitate into layered structures that stack together, forming a three-dimensional network and ultimately causing solidification of the diesel. Upon adding C14MC-MA-MCA to coal-based diesel, several effects are observed: firstly, C14MC-MA-MCA provides numerous alkyl ester side chains which act as nucleation sites for wax crystals. Secondly, the lone electron pairs on the oxygen atom of the MA group contribute to a higher electron cloud density within the wax crystal and these lone pairs also have the capacity to alter the direction of wax crystal growth. Additionally, the MCA group exhibits pronounced steric effects, hindering wax crystal contact. Consequently, the wax crystals within the system become uniformly charged and repel each other, increasing the interfacial tension of the wax crystals/oil phase [22]. This leads to reduced wax crystal volume and dispersed structure, thereby enhancing the dispersion capability within coal-based diesel. Ultimately, these effects significantly improve the low-temperature fluidity of coal-based diesel.