Performance and Emission Optimization of Jatropha-Pongamia Biodiesel Using CeO₂-TiO₂ Nano-additive: A Taguchi L16 Study

Performance and Emission Optimization of Jatropha-Pongamia Biodiesel Using CeO₂-TiO₂ Nano-additive: A Taguchi L16 Study

Nidasale Siddaiah Kumaraswamy Yogish Huchaiah Karthik Machahalli Shivarudraiah* Dayanandamurthy Thandavamurthy

Department of Mechanical Engineering, Sri Jayachamarajendra College of Engineering, Mysuru 570006, India

Department of Mechanical Engineering, JSS Science and Technology University, Mysuru 570006, India

Corresponding Author Email: 
karthikms@jssstuniv.in
Page: 
835-842
|
DOI: 
https://doi.org/10.18280/ijht.440233
Received: 
25 February 2026
|
Revised: 
12 April 2026
|
Accepted: 
20 April 2026
|
Available online: 
30 April 2026
| Citation

© 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/).

OPEN ACCESS

Abstract: 

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.

Keywords: 

Jatropha-Pongamia biodiesel, CeO₂-TiO₂ nano-additive, Taguchi L16, compression-ignition engine, performance optimization, emissions

1. Introduction

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. Experimental Methods

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

Note: B10, B20, B40, and B100 indicate biodiesel volume fractions of 10%, 20%, 40%, and 100%, respectively; ppm = parts per million; CeO₂-TiO₂ = cerium oxide-titanium dioxide nano-additive.

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.

AI generated image

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

Note: CI = Compression Ignition; CR = Compression Ratio; FS = Full Scale; NOₓ = Oxides of Nitrogen; CO = Carbon Monoxide; CO₂ = Carbon Dioxide; HC = Unburned Hydrocarbons; NDIR = Non-Dispersive Infrared; FID = Flame Ionization Detector; CLD = Chemiluminescence Detector.

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

Note: GUM = Guide to the Expression of Uncertainty in Measurement; BSFC = brake specific fuel consumption; BTE = brake thermal efficiency; NOₓ = oxides of nitrogen; CO = carbon monoxide; CO₂ = carbon dioxide; HC = unburned hydrocarbons; NDIR = non-dispersive infrared; FID = flame ionization detector; CLD = chemiluminescence detector.

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.

3. Results and Discussion

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%

Note: BSFC = brake specific fuel consumption; BTE = brake thermal efficiency; HC = unburned hydrocarbons; CO₂ = carbon dioxide; NOₓ = oxides of nitrogen.

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.

AI generated image

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%.

AI generated image

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).

AI generated image

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).

AI generated image

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.

AI generated image

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).

AI generated image

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.

4. Conclusions

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.

Acknowledgment

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.

Nomenclature

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

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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