© 2026 The authors. This article is published by IIETA and is licensed under the CC BY 4.0 license (http://creativecommons.org/licenses/by/4.0/).
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This study investigates the combined effects of biodiesel blend fraction, Jatropha:Pongamia (J:P) feedstock ratio, engine load, and CeO₂-TiO₂ nano-additive dosage on the performance and exhaust emissions of a single-cylinder compression-ignition (CI) engine using a Taguchi L16 design. The novelty lies in evaluating fuel formulation and operating load simultaneously in a mixed non-edible biodiesel system, which allows the dominant factors governing both efficiency and emissions to be ranked within one orthogonal array. Brake thermal efficiency (BTE), brake specific fuel consumption (BSFC), and emissions (NOₓ, CO, HC, and CO₂) were analyzed using signal-to-noise ratios, Analysis of Variance (ANOVA), and regression models. Across the tested matrix, BTE varied from 29.6% to 36.4%, BSFC from 238 to 267 g·kW⁻¹·h⁻¹, NOₓ from 4.7 to 6.1 g·kW⁻¹·h⁻¹, CO from 0.26 to 0.45 g·kW⁻¹·h⁻¹, and HC from 0.05 to 0.12 g·kW⁻¹·h⁻¹. Regression fits remained strong (R² = 92.9 – 96.5% across responses). Signal-to-noise (S/N) analysis identified load as the dominant factor for BTE, whereas ANOVA attributed the largest BTE variance share to blend fraction; blend fraction contributed most to BSFC, and blend fraction plus load governed the emission responses. Within the tested L16 array, the best observed combination was B20 at 50% load with 25 ppm CeO₂-TiO₂ nano-additive and a 20:80 J:P ratio, which produced the highest BTE and the lowest BSFC among the tested cases. The results identify a practical operating window within the explored design space.
Jatropha-Pongamia biodiesel, CeO₂-TiO₂ nano-additive, Taguchi L16, compression-ignition engine, performance optimization, emissions
The need to reduce greenhouse-gas emissions and diversify liquid-fuel sources has intensified interest in biodiesel as a renewable substitute for petroleum diesel [1-4]. Recent power-engineering studies also emphasize that transportation decarbonization and nanoparticle-assisted thermal systems should be evaluated within broader energy-system and thermophysical contexts [5, 6]. Non-edible oils are especially attractive for compression-ignition applications because they avoid direct competition with edible feedstocks while offering local resource availability. Among these, Jatropha curcas and Pongamia pinnata have been widely discussed for marginal-land cultivation and engine use [7-10]. Even so, biodiesel still introduces familiar trade-offs in CI engines: oxygenated fuels can suppress CO and HC, but their lower heating value and altered viscosity may raise fuel consumption and influence NOₓ formation [11, 12].
Recent work has therefore turned to metal-oxide nano-additives as combustion promoters. Cerium oxide and titanium dioxide have been reported to improve oxidation of unburned species and to modify combustion behavior when stably dispersed in biodiesel blends [13-15]. At the same time, the response remains strongly dependent on the base fuel, additive loading, and engine operating condition, which means that conclusions drawn from single-factor experiments are not always transferable across feedstocks or load levels [16-19].
Against this background, three targeted gaps motivate the present work:
First, mixed-feedstock studies involving Jatropha and Pongamia often evaluate a fixed blend or a narrow operating window, so the separate roles of blend fraction and feedstock ratio are not clearly ranked [18-20].
Second, while cerium- and titanium-based additives are well represented in the literature, evidence for a hybrid CeO₂-TiO₂ additive in a mixed non-edible biodiesel system remains limited [21, 22].
Third, many studies do not quantify the relative importance of blend fraction, feedstock ratio, load, and additive dosage within a single orthogonal design.
Accordingly, this study applies a Taguchi L16 array to evaluate these four factors simultaneously and to identify, within the tested design space, a practical operating window balancing brake thermal efficiency (BTE), brake specific fuel consumption (BSFC), and exhaust emissions.
2.1 Feedstock preparation and biodiesel blending
Jatropha curcas and Pongamia pinnata oils were obtained from certified local suppliers and underwent the standard pretreatment involving filtration and drying before transesterification. Biodiesel was produced using base-catalyzed transesterification with methanol and potassium hydroxide; preliminary trials optimized the methanol-to-oil molar ratio, catalyst concentration, temperature, and reaction time to obtain methyl ester yields greater than 98%. After phase separation and washing, the biodiesel fractions were dried and used as a blend with commercial diesel to obtain B10, B20, B40, and B100 blends. Feedstock composition was varied by the preparation of Jatropha:Pongamia ratios (J:P) of 80:20, 60:40, 40:60, and 20:80 by volume. All blends were homogenized using magnetic stirring for 30 min and conditioned at ambient laboratory temperature for 24 h before testing. The physicochemical properties, including density, kinematic viscosity, calorific value, flash point, and cetane number, were measured according to the relevant American Society for Testing and Materials (ASTM) and International Organization for Standardization (ISO) standards; the results are shown in Table 1.
Table 1. Physicochemical properties for Taguchi L16 experimental runs
|
Run |
Blend |
Jatropha:Pongamia Ratio (J:P) |
Load (%) |
CeO₂-TiO₂ Nano-Additive (ppm) |
Density (kg·m⁻³) |
Kinematic Viscosity (mm²·s⁻¹) |
Calorific Value (MJ·kg⁻¹) |
Flash Point (℃) |
Cetane Number |
|
|
1 |
B10 |
80:20 |
25 |
25 |
845 |
2.9 |
41.8 |
70 |
51 |
|
|
2 |
B10 |
60:40 |
50 |
50 |
847 |
3.0 |
41.6 |
72 |
50 |
|
|
3 |
B10 |
40:60 |
75 |
75 |
849 |
3.1 |
41.4 |
74 |
49 |
|
|
4 |
B10 |
20:80 |
100 |
100 |
851 |
3.2 |
41.2 |
76 |
48 |
|
|
5 |
B20 |
40:60 |
25 |
50 |
856 |
3.4 |
40.6 |
84 |
48 |
|
|
6 |
B20 |
20:80 |
50 |
25 |
858 |
3.6 |
40.4 |
86 |
47 |
|
|
7 |
B20 |
80:20 |
75 |
100 |
852 |
3.2 |
41.0 |
80 |
50 |
|
|
8 |
B20 |
60:40 |
100 |
75 |
854 |
3.3 |
40.8 |
82 |
49 |
|
|
9 |
B40 |
20:80 |
25 |
75 |
874 |
4.6 |
38.8 |
110 |
46 |
|
|
10 |
B40 |
40:60 |
50 |
100 |
871 |
4.3 |
39.2 |
105 |
47 |
|
|
11 |
B40 |
60:40 |
75 |
25 |
868 |
4.0 |
39.6 |
100 |
48 |
|
|
12 |
B40 |
80:20 |
100 |
50 |
865 |
3.8 |
39.8 |
95 |
49 |
|
|
13 |
B100 |
60:40 |
25 |
100 |
887 |
5.1 |
37.4 |
155 |
47 |
|
|
14 |
B100 |
80:20 |
50 |
75 |
882 |
4.8 |
37.8 |
150 |
48 |
|
|
15 |
B100 |
20:80 |
75 |
50 |
895 |
5.8 |
36.8 |
170 |
45 |
|
|
16 |
B100 |
40:60 |
100 |
25 |
891 |
5.5 |
37.0 |
160 |
46 |
|
The B100 properties reported in Table 1 correspond to the mixed J:P methyl ester batches used in this study and should be interpreted as batch-specific measurements for the tested fuels rather than handbook values for neat single-feedstock biodiesel.
2.2 CeO₂-TiO₂ nano-additive preparation and dispersion
A CeO₂-TiO₂ nano-additive powder was prepared by a controlled co-precipitation route and calcined at 450 ℃ prior to blending with the test fuels. The same synthesized CeO₂-TiO₂ nano-additive powder was used for scanning electron microscopy (SEM) characterization and for all CeO₂-TiO₂ nano-additive dosage levels in the engine experiments. Fuel suspensions were prepared at nominal nano-additive concentrations of 25, 50, 75, and 100 ppm in the selected biodiesel-diesel blends. Dispersion was carried out by ultrasonication at 40 kHz and 200 W for 20 min, with intermittent cooling to avoid thermal degradation; a non-ionic surfactant (0.05 wt%) was used when needed to improve suspension stability. Before each engine test, the prepared blends were re-sonicated for 5 min. In the present study, the CeO₂-TiO₂ nano-additive-related experimental factor was dosage; the intrinsic powder characteristics were held constant across all Taguchi runs.
2.3 Scanning electron microscopy particle-size distribution
The morphology and size distribution of the CeO₂-TiO₂ nano-additive prepared by the controlled co-precipitation method were examined by SEM. The SEM images shown in Figure 1 correspond to the same CeO₂-TiO₂ nano-additive powder used for fuel dispersion and engine testing; the earlier description of separate pristine TiO₂, deposition-precipitation, and hydrothermal samples has been removed to avoid ambiguity.
Figure 1. Representative scanning electron microscopy (SEM) micrographs of the CeO₂-TiO₂ nano-additive synthesized by the controlled co-precipitation method: (a–c) different SEM fields showing quasi-spherical particle morphology and agglomerated nano-additive clusters
The original SEM images were calibrated in ImageJ using the 5 µm reference scale provided in the SEM micrographs. After calibration, 2 µm scale bars were inserted into all three panels. Particle-size analysis was performed in ImageJ by measuring at least 200 clearly distinguishable particles from each SEM field. Particles cut by the image boundary and severely overlapped agglomerates with unclear boundaries were excluded. The Feret diameter/equivalent circular diameter was used to represent the SEM-derived particle/agglomerate size.
The SEM-derived particle/agglomerate size statistics were as follows: Figure 1(a), n = 290, mean ± SD = 363.5 ± 227.8 nm, D10/D50/D90 = 111.2/309.0/668.7 nm; Figure 1(b), n = 336, mean ± SD = 323.7 ± 212.8 nm, D10/D50/D90 = 112.0/273.8/622.3 nm; and Figure 1(c), n = 321, mean ± SD = 318.4 ± 216.0 nm, D10/D50/D90 = 110.2/257.0/624.2 nm. Across all measured particles/agglomerates (n = 947), the overall Feret diameter was 334.1 ± 219.2 nm, with D10 = 111.2 nm, D50 = 281.5 nm, and D90 = 651.3 nm. The relatively broad distribution is attributed to partial agglomeration during drying and SEM sample preparation, which is typical for metal-oxide nano-additive particles with high surface energy.
2.4 Engine test rig and instrumentation
Experiments were conducted on a water-cooled, single-cylinder, four-stroke compression-ignition engine coupled to an eddy-current dynamometer for load control and brake-power measurement. Fuel consumption was measured gravimetrically using a calibrated burette and electronic balance, while intake air flow was recorded with a hot-wire anemometer. Exhaust gases were measured using a calibrated multi-gas analyzer: NOₓ, CO, and CO₂ by non-dispersive infrared (NDIR) methods, and HC by flame ionization detection. Exhaust temperature and in-cylinder pressure were monitored using K-type thermocouples and a piezoelectric pressure transducer, respectively. The annotated test rig and data-acquisition console are shown in Figure 2, and the instrument specifications are listed in Table 2.
Figure 2. Annotated compression-ignition (CI) engine test rig and data-acquisition system: (1) single-cylinder engine, (2) dynamometer, (3) exhaust line, (4) computer display, (5) control panel, and (6) data-acquisition unit
Table 2. Specifications and measurement accuracy of experimental instruments
|
Instrument |
Make/Model |
Measured Quantity/Range |
Typical Accuracy/Resolution |
|
Single-cylinder compression-ignition (CI) engine (test rig) |
Research engine, 4.4 kW, 1500 rpm, CR 17.5:1 |
Brake power, speed, torque |
Brake power ±0.5% of reading; speed ±1 rpm |
|
Eddy‑current dynamometer |
Eddy-current dynamometer, ECD-5.0 |
Load / torque; 0–5 kW |
Torque ±0.5% of full scale; power ±0.5% of full scale |
|
Fuel consumption measurement burette |
Borosilicate burette, 1000 mL |
Volume 0–1000 mL |
±0.5 mL |
|
Electronic balance (fuel mass) |
Precision balance, 5 kg × 0.1 g |
Mass 0–5 kg |
±0.1 g |
|
Hot‑wire anemometer |
Hot-wire probe, HW-100 |
Intake air flow / velocity 0.1–50 m·s⁻¹ |
± 1-3% of reading |
|
Multi-gas analyzer (NOₓ, CO, CO₂, HC) |
Multi-gas analyzer (chemiluminescence detector + NDIR + FID) |
NOₓ: 0–10,000 ppm; CO: 0–10,000 ppm; CO₂: 0–20%; HC: 0–10,000 ppm |
NOₓ (chemiluminescence detector, CLD): ±2% of full scale; CO/CO₂ (NDIR): ±1-3% of full scale; HC (FID): ±2-5% of full scale |
2.5 Measurement uncertainty and calibration
All instruments were calibrated against traceable standards before experimentation. Uncertainty budgets were prepared for the principal performance metrics following the Guide to the Expression of Uncertainty in Measurement (GUM). Reported uncertainties were fuel consumption ±1.0%, brake power ±0.5%, NOₓ ±2 ppm or ±3% of reading, CO/CO₂ ±0.01 vol% or ±3% of reading, and HC ±2 ppm. Combined standard uncertainties for derived quantities were estimated by propagation of the component uncertainties and are summarized in Table 3.
Table 3. Measurement uncertainties and calibration summary
|
Quantity |
Instrument / Method |
Reported Uncertainty |
Notes / Combined Uncertainty |
|
Fuel consumption |
Calibrated burette and electronic balance (gravimetric/volumetric) |
±1.0% |
Uncertainty budget follows the Guide to the Expression of Uncertainty in Measurement (GUM); includes volumetric reading, balance repeatability, and temperature effects |
|
Brake power |
Eddy‑current dynamometer (torque measurement) |
±0.5% |
Includes dynamometer accuracy and torque transducer calibration |
|
Brake specific fuel consumption (BSFC) |
Calculated from fuel mass flow and brake power |
±1.12% |
Combined standard uncertainty obtained by propagation of fuel-flow and brake-power uncertainties; reported as relative uncertainty |
|
Brake thermal efficiency (BTE) |
Calculated from brake power, fuel flow and calorific value |
±1.22% |
Combined standard uncertainty obtained by propagation of brake-power, fuel-flow, and calorific-value uncertainties. |
|
NOₓ |
Chemiluminescence detector (CLD) |
±2 ppm or ±3% of reading |
Zero/span checks before each test day |
|
CO/CO₂ |
Non‑dispersive infrared (NDIR) analyzer |
±0.01 vol% or ±3% of reading |
Zero/span checks before each test day |
|
HC |
flame ionization detector (FID) |
±2 ppm |
Zero/span checks before each test day |
2.6 Experimental design
A Taguchi L16 orthogonal array was adopted to study four control factors at four levels each: blend percentage (A), J:P ratio (B), engine load (C), and CeO₂-TiO₂ nano-additive concentration (D). The L16 design reduced the number of experimental runs while preserving orthogonality for the estimation of main effects. Signal-to-noise (S/N) ratios were computed using the smaller-is-better criterion for BSFC, CO, HC, NOₓ, and CO₂, and the larger-is-better criterion for BTE. Analysis of Variance (ANOVA) was then used to quantify the percentage contribution of each factor and to report F- and p-values for statistical significance (Table 4).
Table 4. Factors and levels for the experimental matrix
|
Factor |
Symbol |
Level 1 |
Level 2 |
Level 3 |
Level 4 |
|
Blend |
A |
B10 |
B20 |
B40 |
B100 |
|
Jatropha:Pongamia (J:P) ratio |
B |
80:20 |
60:40 |
40:60 |
20:80 |
|
Engine load (%) |
C |
25 |
50 |
75 |
100 |
|
CeO₂-TiO₂ nano-additive (ppm) |
D |
25 |
50 |
75 |
100 |
Because the L16 array was selected to estimate main effects efficiently, interaction terms were not resolved independently. Potential couplings such as blend composition × CeO₂-TiO₂ nano-additive dosage, especially through viscosity and dispersion behavior, should therefore be interpreted as part of the residual experimental variation rather than as separately quantified effects.
Table 5 summarizes the fitted models, observed response ranges, and ANOVA contributions for the principal performance and emission metrics. Across the tested matrix, BTE and BSFC showed the expected inverse relationship, and the regression fits remained strong (R² = 92.9-96.5%). ANOVA indicates that blend fraction and load were the two dominant factors across all responses, while the CeO₂-TiO₂ nano-additive dosage had a smaller but still measurable contribution (7.5-11.4%) within the explored design space.
Table 5. Model fit, observed range and Analysis of Variance (ANOVA) percentage contributions
|
Response |
R² (%) |
Observed Range |
ANOVA Percentage Contributions (Blend; Load; Jatropha:Pongamia (J:P) Ratio; CeO₂-TiO₂ Nano-Additive) |
|
BSFC |
95.2 |
238–267 g·kW⁻¹·h⁻¹ |
42.5%; 25.3%; 18.2%; 10.0% |
|
BTE |
96.5 |
29.6–36.4 % |
44.0%; 29.3%; 17.8%; 7.5% |
|
NOₓ |
94.8 |
4.7–6.1 g·kW⁻¹·h⁻¹ |
41.5%; 30.0%; 14.9%; 10.0% |
|
CO |
93.6 |
0.26–0.45 g·kW⁻¹·h⁻¹ |
39.0%; 28.0%; 19.5%; 9.0% |
|
HC |
92.9 |
0.05–0.12 g·kW⁻¹·h⁻¹ |
38.5%; 29.0%; 16.5%; 11.0% |
|
CO₂ |
95.0 |
750–842 g·kW⁻¹·h⁻¹ |
40.0%; 28.6%; 15.7%; 11.4% |
3.1 Brake thermal efficiency
BTE varied from 29.6% to 36.4% across the L16 runs (Figure 3). The highest mean BTE, 36.4%, occurred in Run 6, whereas Run 12 yielded the lowest value, 29.6%. S/N analysis using the larger-is-better criterion ranked load as the dominant factor (Δ = 4.23 dB), followed by blend fraction (Δ = 1.68 dB), with smaller effects from CeO₂-TiO₂ nano-additive dosage (Δ = 0.40 dB) and J:P ratio (Δ = 0.19 dB). ANOVA results in Table 6 support the same interpretation: blend fraction contributed 44.0% of the variance and load 29.3%, while the feedstock ratio and CeO₂-TiO₂ nano-additive dosage accounted for 17.8% and 7.5%, respectively.
Figure 3. Signal-to-noise ratio plot for brake thermal efficiency (BTE)
Table 6. Analysis of Variance (ANOVA) summary for brake thermal efficiency (BTE)
|
Source |
Degrees of Freedom |
Adjusted Sum of Squares |
Adjusted Mean Square |
F-Value |
P-Value |
Contribution (%) |
|
Blend % (A) |
3 |
210.5 |
70.2 |
22.1 |
0.001 |
44.0 |
|
Jatropha:Pongamia ratio (J:P) (B) |
3 |
85.3 |
28.4 |
8.9 |
0.011 |
17.8 |
|
Load % (C) |
3 |
140.2 |
46.7 |
14.7 |
0.004 |
29.3 |
|
CeO₂-TiO₂ nano-additive (ppm) (D) |
3 |
35.6 |
11.9 |
3.7 |
0.048 |
7.5 |
|
Error |
3 |
9.5 |
3.2 |
- |
- |
1.4 |
|
Total |
15 |
481.1 |
- |
- |
- |
100 |
3.2 Brake specific fuel consumption
BSFC values across the experimental matrix ranged from 238 to 267 g·kW⁻¹·h⁻¹ (Figure 4). The minimum BSFC, 238 g·kW⁻¹·h⁻¹, was recorded in Run 6, whereas Run 12 produced the maximum value, 267 g·kW⁻¹·h⁻¹. S/N analysis for the smaller-is-better objective identified blend fraction as the leading factor (Δ = 1.83 dB), followed by load (Δ = 0.59 dB), J:P ratio (Δ = 0.58 dB), and CeO₂-TiO₂ nano-additive dosage (Δ = 0.19 dB). ANOVA in Table 7 shows the same order of influence, with blend fraction contributing 42.5% of the variance, load 25.3%, J:P ratio 18.2%, and CeO₂-TiO₂ nano-additive dosage 10.0%.
Figure 4. Main effects plot of S/N ratios for brake specific fuel consumption (BSFC)
Table 7. Analysis of Variance (ANOVA) summary for brake specific fuel consumption (BSFC)
|
Source |
Degrees of Freedom |
Adjusted Sum of Squares |
Adjusted Mean Square |
F-Value |
P-Value |
Contribution (%) |
|
Blend % (A) |
3 |
0.0042 |
0.0014 |
18.6 |
0.001 |
42.5 |
|
Jatropha:Pongamia ratio (J:P) (B) |
3 |
0.0018 |
0.0006 |
7.9 |
0.012 |
18.2 |
|
Load % (C) |
3 |
0.0025 |
0.0008 |
10.5 |
0.006 |
25.3 |
|
CeO₂-TiO₂ nano-additive (ppm) (D) |
3 |
0.0010 |
0.0003 |
4.2 |
0.041 |
10.0 |
|
Error |
3 |
0.0002 |
0.00007 |
- |
- |
4.0 |
|
Total |
15 |
0.0097 |
- |
- |
- |
100 |
3.3 Emission characteristics
Mean NOₓ emissions ranged from 4.7 to 6.1 g·kW⁻¹·h⁻¹ across the runs (Figure 5). The lowest mean value, 4.7 g·kW⁻¹·h⁻¹, occurred in Run 9, while the highest value, 6.1 g·kW⁻¹·h⁻¹, occurred in Run 12. S/N analysis for the smaller-is-better criterion identified load as the strongest driver of variation, and ANOVA attributed 41.5% of the variance to blend fraction and 30.0% to load. The remaining contributions from J:P ratio (14.9%) and CeO₂-TiO₂ nano-additive dosage (10.0%) were secondary but non-negligible within the tested array (Table 8).
Figure 5. Main effects plot of S/N ratios for NOₓ emissions
Table 8. Analysis of Variance (ANOVA) summary for NOₓ emissions
|
Source |
Degrees of Freedom |
Adjusted Sum of Squares |
Adjusted Mean Square |
F-Value |
P-Value |
Contribution (%) |
|
Blend % (A) |
3 |
14500 |
4833 |
19.2 |
0.001 |
41.5 |
|
Jatropha:Pongamia ratio (J:P) (B) |
3 |
5200 |
1733 |
6.9 |
0.015 |
14.9 |
|
Load % (C) |
3 |
10500 |
3500 |
13.9 |
0.004 |
30.0 |
|
CeO₂-TiO₂ nano-additive (ppm) (D) |
3 |
3500 |
1167 |
4.6 |
0.036 |
10.0 |
|
Error |
3 |
750 |
250 |
- |
- |
3.6 |
|
Total |
15 |
34450 |
- |
- |
- |
100 |
CO emissions varied between 0.26 and 0.45 g·kW⁻¹·h⁻¹ (Figure 6). The minimum CO value, 0.26 g·kW⁻¹·h⁻¹, was observed in Run 12, whereas the maximum value, 0.45 g·kW⁻¹·h⁻¹, occurred in Run 1. Both the S/N response and ANOVA results show that blend fraction and load dominated the CO trend, contributing 39.0% and 28.0% of the variance, respectively, while J:P ratio and CeO₂-TiO₂ nano-additive dosage contributed 19.5% and 9.0% (Table 9).
Figure 6. Main effects plot of S/N ratios for carbon monoxide emissions
Table 9. Analysis of Variance (ANOVA) summary for carbon monoxide emissions
|
Source |
Degrees of Freedom |
Adjusted Sum of Squares |
Adjusted Mean Square |
F-Value |
P-Value |
Contribution (%) |
|
Blend % (A) |
3 |
0.012 |
0.004 |
16.8 |
0.002 |
39.0 |
|
Jatropha:Pongamia ratio (J:P) (B) |
3 |
0.006 |
0.002 |
8.4 |
0.013 |
19.5 |
|
Load % (C) |
3 |
0.009 |
0.003 |
12.6 |
0.005 |
28.0 |
|
CeO₂-TiO₂ nano-additive (ppm) (D) |
3 |
0.003 |
0.001 |
4.2 |
0.042 |
9.0 |
|
Error |
3 |
0.001 |
0.0003 |
- |
- |
4.5 |
HC emissions ranged from 0.05 to 0.12 g·kW⁻¹·h⁻¹ (Figure 7). The lowest HC value, 0.05 g·kW⁻¹·h⁻¹, was recorded in Runs 8 and 12, whereas the highest value, 0.12 g·kW⁻¹·h⁻¹, occurred in Run 1. ANOVA again shows that blend fraction (38.5%) and load (29.0%) were the dominant factors, with smaller contributions from J:P ratio (16.5%) and CeO₂-TiO₂ nano-additive dosage (11.0%) as listed in Table 10.
Figure 7. Main effects plot of S/N ratios for hydrocarbon emissions
Table 10. Analysis of Variance (ANOVA) summary for hydrocarbon emissions
|
Source |
Degrees of Freedom |
Adjusted Sum of Squares |
Adjusted Mean Square |
F-Value |
P-Value |
Contribution (%) |
|
Blend % (A) |
3 |
420 |
140 |
17.5 |
0.002 |
38.5 |
|
Jatropha:Pongamia ratio (J:P) (B) |
3 |
180 |
60 |
7.5 |
0.014 |
16.5 |
|
Load % (C) |
3 |
320 |
107 |
13.4 |
0.005 |
29.0 |
|
CeO₂-TiO₂ nano-additive (ppm) (D) |
3 |
120 |
40 |
5.0 |
0.031 |
11.0 |
|
Error |
3 |
24 |
8 |
- |
- |
5.0 |
|
Total |
15 |
1064 |
- |
- |
- |
100 |
CO₂ responses also varied systematically with the test conditions (Figure 8). The largest S/N delta was associated with load (Δ = 5.107 dB), while ANOVA attributed 40.0% of the variance to blend fraction and 28.6% to load. J:P ratio and CeO₂-TiO₂ nano-additive dosage contributed 15.7% and 11.4%, respectively, confirming the same hierarchy of factor influence seen for the other emissions (Table 11).
Figure 8. Main effects plot of S/N ratios for carbon dioxide emissions
Table 11. Analysis of Variance (ANOVA) summary for carbon dioxide emissions
|
Source |
Degrees of Freedom |
Adjusted Sum of Squares |
Adjusted Mean Square |
F-Value |
P-Value |
Contribution (%) |
|
Blend % (A) |
3 |
2.8 |
0.93 |
18.2 |
0.001 |
40.0 |
|
Jatropha:Pongamia ratio (J:P) (B) |
3 |
1.1 |
0.37 |
7.2 |
0.016 |
15.7 |
|
Load % (C) |
3 |
2.0 |
0.67 |
13.1 |
0.005 |
28.6 |
|
CeO₂-TiO₂ nano-additive (ppm) (D) |
3 |
0.8 |
0.27 |
5.3 |
0.029 |
11.4 |
|
Error |
3 |
0.2 |
0.07 |
- |
- |
4.3 |
|
Total |
15 |
6.9 |
- |
- |
- |
100 |
3.4 Taguchi S/N ratio and Analysis of Variance findings
Across all responses, the Taguchi and ANOVA analyses show a consistent hierarchy of influence. Blend fraction and engine load controlled most of the performance-emission trade-off, whereas CeO₂-TiO₂ nano-additive dosage and J:P ratio played secondary roles. For BSFC, the factor ranking by S/N delta was blend > load ≈ J:P > CeO₂-TiO₂ nano-additive dosage, while for BTE it was load > blend > CeO₂-TiO₂ nano-additive dosage > J:P. The same pattern was echoed in the emission analysis, where blend and load together accounted for roughly two-thirds of the explained variance. These results indicate that the CeO₂-TiO₂ additive modified the responses, but to a much smaller extent than base-fuel composition and operating load in the present design space.
Within the tested L16 matrix, the most favorable overall combination was B20, 50% load, 25 ppm CeO₂-TiO₂ nano-additive, and a 20:80 J:P ratio (Run 6), which yielded the highest observed BTE and the lowest observed BSFC. This combination is therefore reported as the best observed setting within the explored array. Because no independent out-of-array confirmation experiment was available in the present dataset, the result should be interpreted as a design-space optimum for the tested conditions rather than a universal global optimum.
This study used a Taguchi L16 orthogonal array to examine the combined effects of blend fraction, J:P ratio, engine load, and CeO₂-TiO₂ nano-additive dosage on a single-cylinder compression-ignition (CI) engine. Across the tested matrix, the models for BSFC, BTE, NOₓ, CO, HC, and CO₂ showed good fit, with R² values between 92.9% and 96.5%.
Blend fraction and engine load were the dominant factors governing the performance-emission response. Load had the largest S/N influence on BTE, whereas blend fraction contributed most to BSFC. For the emission metrics, blend fraction and load consistently accounted for the largest shares of the explained variance.
The CeO₂-TiO₂ nano-additive dosage and J:P ratio produced measurable but secondary effects within the explored design space. Their contributions were smaller than those of the blend fraction and load for every response, indicating that additive dosage should be viewed as a tuning parameter rather than the primary driver of engine behavior.
Within the tested L16 array, the B20 blend at 50% load with 25 ppm CeO₂-TiO₂ nano-additive and a 20:80 J:P ratio delivered the highest observed BTE and the lowest observed BSFC. This setting is reported as the best observed combination within the completed experimental campaign.
A separate confirmation run outside the L16 array was not available in the present dataset; future work should verify the optimum experimentally and examine interaction effects more explicitly.
The authors gratefully acknowledge the support of the Department of Mechanical Engineering, Sri Jayachamarajendra College of Engineering, Mysuru, and JSS Science and Technology University, Mysuru, for providing laboratory facilities and technical assistance to carry out this research work.
|
BTE |
Brake thermal efficiency (%) |
|
BSFC |
Brake specific fuel consumption (g·kW⁻¹·h⁻¹) |
|
NOₓ |
Oxides of nitrogen (NO + NO₂) (g·kW⁻¹·h⁻¹) |
|
CO |
Carbon monoxide (g·kW⁻¹·h⁻¹) |
|
HC |
Unburned hydrocarbons (g·kW⁻¹·h⁻¹) |
|
CO₂ |
Carbon dioxide (g·kW⁻¹·h⁻¹) |
|
CeO₂-TiO₂ |
Cerium oxide-titanium dioxide nano-additive |
|
ppm |
Parts per million (additive concentration) |
|
J:P |
Jatropha:Pongamia feedstock ratio (%:%) |
|
B# |
Biodiesel blend fraction (e.g., B10 = 10% biodiesel by volume) (%) |
|
Load |
Engine brake load (% of rated load) |
|
Taguchi L16 |
Orthogonal array (4 factors × 4 levels) |
|
S/N |
Signal-to-noise ratio (dB) |
|
ANOVA |
Analysis of Variance |
|
R² |
Coefficient of determination |
|
Pred R² |
Predictive coefficient of determination |
|
Δ |
S/N delta, maximum − minimum (dB) |
|
SD |
Standard deviation |
|
n |
Number of independent runs |
|
g·kW⁻¹·h⁻¹ |
Grams per kilowatt hour (mass per unit energy output) |
|
(%) dev. |
Deviation (%) |
|
SEM |
Scanning electron microscopy |
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