journal article·2025-04-16Open access

Mathematical Correlations for Volumetric (Density and Specific Gravity) Properties of Diesel/Biodiesel Blends

Vasileios Vasileiadis, Ioanna Th. Papageorgiou, Christos Kyriklidis, Ioanna A. Vasiliadou, Constantinos G. Tsanaktsidis

Applied Sciences· Volume 15· Issue 8

Abstract

Biodiesel is a renewable and environmentally friendly alternative energy source to conventional diesel. The use of biodiesel blends with diesel to meet energy needs can significantly reduce greenhouse gas emissions, as biodiesel produces smaller amounts of carbon dioxide (CO2) when burned. In addition, diesel/biodiesel blends can be used as fuel in existing diesel engines without the need to modify them, and their exploitation reduces dependence on oil imports and the impact of oil prices on the economy. Since increasing the percentage of biodiesel in diesel/biodiesel blends aims to increase the environmental and economic benefits, it is necessary to know the physicochemical properties of these blends, such as density, specific gravity, etc. The aim of the present work was to use appropriate mathematical equations that can predict the physicochemical properties of mixtures under different conditions of temperature and mixing ratios. Kay’s mathematical mixing expression, the Tammann–Tait equation, and empirical equations were used to describe the dependence of the density (ρ, kg/m3) of the mixtures on the volume percentage (v%) of biodiesel mixed with diesel and the temperature variance (T, K). In addition, mathematical equations were used to predict the specific gravity (Sg) of the mixtures. Mathematical estimations were based on experimental data obtained by blending diesel and animal or vegetable biodiesel volume percentages. These data showed the effect of different mixing volume percentages of biodiesel and diesel (from 0% to 100% biodiesel) on their physicochemical characteristics under different temperatures (278 to 298 K). The accuracy of the mathematical estimations was evaluated using factors such as the Nash and Sutcliffe coefficient (E) and relative root mean squared error (MSE%). The results showed that the selected mathematical equations were able to accurately estimate (E up to 0.9988 and MSE up to 0.4%) the increased density and specific gravity as the volume percentage of biodiesel increased and temperature decreased. The present study uses mathematical tools for choosing the right blending ratios and conditions, depending on the desired features of the finished product.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Biodiesel Production and Applications · Advanced Combustion Engine Technologies · Lubricants and Their Additives

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Chemical Engineering, University of Western Macedonia, GR-50100 Kozani, Greece

References (48)

Show source-provided references
1. Sustainability Assessment of Ethanol and Biodiesel Production in Argentina, Brazil, Colombia, and Guatemala10.1016/j.rser.2022.113019 ↗
2. Aljaafari, A., Fattah, I.M.R., Jahirul, M.I., Gu, Y., Mahlia, T.M.I., Islam, M.A., and Islam, M.S. (2022). Biodiesel Emissions: A State-of-the-Art Review on Health and Environmental Impacts. Energies, 15.10.3390/en15186854 ↗
3. Vasileiadis, V., Kyriklidis, M.E., Kyriklidis, C., Loizou, E., and Tsanaktsidis, C.G. (2023, January 12–14). New Biodiesel Production from Diesel and Vegetables Sources Biodiesel by Evolutionary Computation Application. Proceedings of the 15th International Conference Economies of the Balkan and Eastern European Countries, Chios, Greece.
4. Recent Advances in Transesterification for Sustainable Biodiesel Production, Challenges, and Prospects: A Comprehensive Review10.1007/s11356-024-32027-4 ↗
5. A Review on Latest Trends in Cleaner Biodiesel Production: Role of Feedstock, Production Methods, and Catalysts10.1016/j.jclepro.2022.131588 ↗
6. Influence of Nano Additives on Diesel-Biodiesel Fuel Blends in Diesel Engine: A Spray, Performance, and Emissions Study
7. Sustainable Production of Furan-Based Oxygenated Fuel Additives from Pentose-Rich Biomass Residues
8. Optimal Bio Marine Fuel Production Evolutionary Computation: Genetic Algorithm Approach for Raw Materials Mixtures10.1016/j.fuel.2022.124232 ↗
9. Venkatesan, S.P., Rahul, R., Sabbharishi, V., Purusothamand, M., and Ganesan, S. (2023). Study of Emission Characteristics of a Diesel Engine Run by Fuel Blends of Diesel, Jatropha Biodiesel and Cetane Improver. Mater. Today Proc.10.1016/j.matpr.2023.02.404 ↗
10. Kyriklidis, M.E., Kyriklidis, C., Vasileiadis, V., Loizou, E., and Tsanaktsidis, C.G. (2023, January 14–18). Can Biodiesel Become a Determinant Bioeconomy Factor towards Sustainability: Mixture Physicochemical Composition and Input-Output (I-O) Indicators of Biodiesel Sector. Proceedings of the 2nd International Conference on Sustainable Chemical and Environmental Engineering (SUSTENG 2023), Online.
11. Selection of Heterogeneous Catalysts for Biodiesel Production from Animal Fat10.1016/j.fuel.2011.10.069 ↗
12. Effect of Isobutanol Addition on the Biodiesel Density10.1021/acs.jced.1c00588 ↗
13. A New Method for Predicting the Isobaric Heat Capacity of Biodiesel-Related Esters Based on the Corresponding States Principle10.1016/j.fluid.2020.112734 ↗
14. Musthafa, B., and Asokan, M.A. (2024). Influence of Fuel Filterability, Performance, and Emission Characteristics of Dual Biodiesel Mixture with Diesel Blends in Compression Ignition Engine. Int. J. Automot. Technol.10.1007/s12239-024-00040-8 ↗
15. Systematic Review on Effects of Bioenergy from Edible versus Inedible Feedstocks on Food Security10.1038/s41538-021-00091-6 ↗
16. Density, Flash Point and Heating Value Variations of Corn Oil Biodiesel-Diesel Fuel Blends10.1016/j.fuproc.2015.02.026 ↗
17. The Effect of Temperature and Pressure on the Physicochemical Properties of Petroleum Diesel Oil and Biodiesel Fuel10.1016/j.fuel.2007.10.010 ↗
18. Measurement and Prediction of High-Pressure Viscosities of Biodiesel Fuels10.1016/j.fuel.2014.01.031 ↗
19. Biodiesel Density and Derived Thermodynamic Properties at High Pressures and Moderate Temperatures10.1016/j.fuel.2015.10.050 ↗
20. Hicks, W. (2024). NREL Research Points Path to Higher Blends of Biodiesel, National Renewable Energy Laboratory, U.S. Department of Energy, Office of Energy Efficiency and Renewable Energy.
21. Zarrinkolah, M.T., and Hosseini, V. (2022). Detailed Analysis of the Effects of Biodiesel Fraction Increase on the Combustion Stability and Characteristics of a Reactivity- Controlled Compression Ignition Diesel-Biodiesel/Natural Gas Engine. Energies, 15.10.3390/en15031094 ↗
22. The Effect of Temperature and Pressure on Thermodynamic Properties of Diesel and Biodiesel Fuels10.1016/j.fuel.2010.11.015 ↗
23. Characterization of Renewable Diesel, Petroleum Diesel and Renewable Diesel/Biodiesel/Petroleum Diesel Blends10.1016/j.renene.2024.120151 ↗
24. Thermodynamic Properties of Biodiesel and Petro-Diesel Blends at High Pressures and Temperatures. Experimental and Modeling10.1016/j.fuel.2016.07.023 ↗
25. Brakora, J., and Reitz, R.D. (2013). A Comprehensive Combustion Model for Biodiesel-Fueled Engine Simulations, SAE International. SAE Technical Paper.10.4271/2013-01-1099 ↗
26. Alahmer, A., Rezk, H., Aladayleh, W., Mostafa, A.O., Abu-Zaid, M., Alahmer, H., Gomaa, M.R., Alhussan, A.A., and Ghoniem, R.M. (2022). Modeling and Optimization of a Compression Ignition Engine Fueled with Biodiesel Blends for Performance Improvement. Mathematics, 10.10.3390/math10030420 ↗
27. Bousbaa, H., Kaid, N., Alqahtani, S., Maatki, C., Naima, K., Menni, Y., and Kolsi, L. (2024). Prediction and Simulation of Biodiesel Combustion in Diesel Engines: Evaluating Physicochemical Properties, Performance, and Emissions. Fire, 7.10.3390/fire7100364 ↗
28. Tat, M.E., and Van Gerpen, J.H. (2000). The Specific Gravity of Biodiesel and Its Blends with Diesel Fuel, Iowa State University.10.1007/s11746-000-0019-3 ↗
29. (1977). Relative Density 60/60 Degrees F Hydrometers for General Purposes (Standard No. DIN ISO 650).
30. (2017). Standard Test Method for Density, Relative Density (Specific Gravity), or API Gravity of Crude Petroleum and Liquid Petroleum Products by Hydrometer Method (Standard No. ASTM D 1298).
31. (2023). Standard Specification for Biodiesel Fuel Blend Stock (B100) for Middle Distillate Fuels (Standard No. ASTM D6751-20a D6751-23).
32. (1996). Crude Petroleum and Petroleum Products—Determination of Density—Oscillating Umtube Method (Standard No. ISO 12185:1996).
33. (2016). Determination of Flash Point—Pensky-Martens Closed Cup Method (Standard No. ISO 2719:2016).
34. (2022). Determination of Flash Point—Method for Flash No-Flash and Flash Point by Small Scale Closed Cup Tester (Standard No. ISO 3679:2022).
35. (2020). Petroleum Products—Transparent and Opaque Liquids—Determination of Kinematic Viscosity and Calculation of Dynamic Viscosity (Standard No. ISO 3104:2020).
36. (2007). Petroleum Products—Calculation of Cetane Index of Middle-Distillate Fuels by the Four-Variable Equation (Standard No. ISO 4264:2007).
37. (2020). Petroleum Products—Determination of the Ignition Quality of Diesel Fuels—Cetane Engine Method (Standard No. ISO 5165:2020).
38. (2000). Petroleum Products—Determination of Water—Coulometric Karl Fischer Titration Method (Standard No. ISO 1937:2000).
39. (2019). Liquid Petroleum Products—Fatty Acid Methyl esters (FAME) for Use in Diesel Engines and Heating Applications—Requirements and Test Methods (Standard No. ISO 14214:2019).
40. (1997). Petreleum Products—Aviation and Distilate Fuels- Determination of Electrical Conductivity (Standard No. ISO 6297:1997).
41. (2020). Animal and Vegetable Fats and Oils- Determination of Acid Value and Acidity (Standard No. ISO 660:2020).
42. (2003). Fat and Oil Derivatives—Fatty Acid Methyl Esters (FAME)—Determination of Acid Value (Standard No. EN 14104:2003).
43. Investigating the Thermophysical Properties of the 1-Butanol + Biodiesel System: The Impact of Pressure on Volumetric Characteristics10.1016/j.fuel.2024.132076 ↗
44. Prediction Models for Density and Viscosity of Biodiesel and Their Effects on Fuel Supply System in CI Engines10.1016/j.renene.2010.04.026 ↗
45. Reichert, P. (1998). Aquasim 2.0-User Manual, Computer Program for the Identification and Simulation of Aquatic Systems, EAWAG.
46. Stepleman, R.E. (1983). A description of DASSL: A differential/algebraic system solver. Scientific Computing, IMACS/North-Holland.
47. Modelling of Organic Matter Dynamics during the Composting Process10.1016/j.wasman.2011.09.008 ↗
48. Nash, J.E., and Sutcliffe, J. (1970). River Flow Forecasting Through Conceptual Models Part I—A Discussion of Principles, North-Holland Publishing Co.10.1016/0022-1694(70)90255-6 ↗