Evaporation and Ignition of Isolated Fuel Drops in an Oxidizing Environment: Analytical Study Based on Varshavskii’s ‘Diffusion Theory’
Source abstract
Abstract
Varshavskii’s ‘Diffusion Theory’, less investigated due to its limited international visibility, can offer one of the simplest and, on the other hand, high-accuracy methods for evaluating the ignition delay of fossil fuel and biofuel droplets, including their blend. In this study, experimental pre-tests were conducted to determine pre-existing subject knowledge on stationary droplet combustion at ambient pressure and temperatures varying from 935 to 1010 K followed by simulation of droplet ignition times. The test fuels were mineral diesel (DF), RME and a 20% RME blend with DF. Simulations were performed for isobaric conditions. Using the detailed transport model and detailed chemical kinetics, the necessary rearrangements were made for the governing equations to meet the criteria for modern fuels (biodiesel, diesel, and blend). The influence of different physical parameters, such as droplet radius, or initial conditions, on the ignition delay time was investigated. The high sensitivity of the proposed methodology to experimental results was substantiated.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Combustion and flame dynamics · nanoparticles nucleation surface interactions · Thermochemical Biomass Conversion Processes
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Faculty of Mechanical Engineering and Design, Kaunas University of Technology, LT-51424 Kaunas, Lithuania
References (58)
Show source-provided references
1. The origin of Lavoisier’s first experiments on combustion10.1086/350942 ↗
2. Antoine-Laurent Lavoisier’s ‘Sur la nature de l’eau’: An annotated English translation10.1080/00033790.2023.2289531 ↗
3. Zur Theorie des Verbrennungsprozesses10.1007/BF01340021 ↗
4. Kinetics of chemical reactions in a flame
5. Theory of thermal flame propagation
6. Varshavskii, G.A. (1945). Diffusion Theory of Droplet Combustion, Trudy BNT NKAP. (In Russian).
7. Combustion of droplets in a fuel spray10.1038/164708b0 ↗
8. Godsave, G.A.E. (2025, April 12). The Burning of Single Drops of Fuel, Parts 1 and 2. National Gas Turbine Establishment. Reports No. R66 (March 1950) and R87 (April 1951). Available online: https://apps.dtic.mil/sti/tr/pdf/AD0041743.pdf.
9. Studies of the combustion of drops in a fuel spray-the burning of single drops of fuel10.1016/S0082-0784(53)80107-4 ↗
10. Combustion of fuel droplets10.1038/1661111a0 ↗
11. The combustion of liquid fuels10.1016/S0082-0784(53)80110-4 ↗
12. An analytical study of droplet combustion under microgravity: Quasi-steady transient approach10.1016/j.proci.2006.07.134 ↗
13. Faik, A.M.E.-D. (2017). Quantitative Investigation of the Multicomponent Fuel Droplet Combustion Using High Speed Imaging and Digital Image Processing. [Ph.D. Thesis, University of Sheffield]. Available online: https://core.ac.uk/download/96890617.pdf.
14. Advances and challenges in droplet and spray combustion. I. Toward a unified theory of droplet aerothermochemistry10.1016/S0360-1285(00)00016-2 ↗
15. Fedoseev, V.A. (1968). Autoignition of a fuel droplet. Problems of Evaporation, Combustion and Gas Dynamics in Disperse Systems, Proceedings of the Sixth Conference on Evaporation, Combustion and Gas Dynamics in Disperse Systems, Odessa, Ukraine, 3–5 October 1966, Odessa University Publishing House. (In Russian).
16. Advanced models of fuel droplet heating and evaporation10.1016/j.pecs.2005.11.001 ↗
17. Combustion of droplets of liquid fuels: A review10.1016/0010-2180(73)90002-3 ↗
18. Deviations from classicaldroplet evaporation theory10.1098/rspa.2021.0078 ↗
19. Marangoni effect in bipropellant droplet mixing during hypergolic ignition10.1103/PhysRevApplied.15.034076 ↗
20. Glushkov, D., Klepikov, D., Nigay, A., Paushkina, K., and Pleshko, A. (2023). Experimental research of the initial temperature and additives effect on the ignition and combustion mechanisms of composite liquid fuel in a high-temperature oxidizer. Appl. Sci., 13.10.3390/app13063501 ↗
21. Droplet collision of hypergolic propellants10.1002/dro2.116 ↗
22. Comparison of flame inception behavior of liquid nitromethane in inert and air environments10.1016/j.combustflame.2022.112101 ↗
23. Ochowiak, M., Bielecki, Z., Bielecki, M., Włodarczak, S., Krupinska, A., Matuszak, M., Choiński, D., Lewtak, R., and Pavlenko, I. (2022). The D2-law of droplet evaporation when calculating the droplet evaporation process of liquid containing solid state catalyst particles. Energies, 15.10.3390/en15207642 ↗
24. Turns, S.R. (2000). An Introduction to Combustion, MacGraw Hill.
25. Revisiting d2-law for the evaporation of dilute droplets
26. Defying the D2-law in fuel droplet combustion under gravity10.1063/5.0225223 ↗
27. Steady-state and transient solutions to drop evaporation in a finite domain: Alternative benchmarks to the d2 law10.1016/j.ijheatmasstransfer.2018.06.071 ↗
28. Variations in oxygenated blend composition to meet energy and combustion characteristics very similar to the diesel fuel10.1016/j.fuproc.2010.03.011 ↗
29. Single droplet ignition models via evaporation and ignition competition10.1016/j.measen.2020.100029 ↗
30. Inverse Influence of initial diameter on droplet burning rate in cold and hot ambiences: A thermal action of flame in balance with heat loss10.1016/S0017-9310(02)00397-6 ↗
31. Gallego, A., Cacua, K., Gamboa, D., Rentería, J., and Herrera, B. (2023). Ignition delay and burning rate analysis of diesel–carbon nanotube blends stabilized by a surfactant: A droplet-scale study. Energies, 16.10.20944/preprints202310.1042.v1 ↗
32. Single droplet combustion of sunflower oil (part I)
33. Multicomponent droplet combustion with rapid internal mixing10.1016/0010-2180(76)90073-0 ↗
34. Synergistic combustion of droplets of ethanol, diesel and biodiesel mixtures10.1016/j.fuel.2011.10.049 ↗
35. Simple model for the vaporization of droplets with large numbers of components10.1016/S0010-2180(99)00144-3 ↗
36. Advances in droplet array combustion theory and modelling10.1016/j.pecs.2014.01.002 ↗
37. Concentration fields in evaporating droplets10.1016/j.ijheatmasstransfer.2004.07.039 ↗
38. A spherical cell model for multicomponent droplet combustion in a dilute spray10.1002/er.755 ↗
39. A parametric study of burning of multicomponent droplets in a dilute spray10.1002/er.756 ↗
40. Findings on droplet breakup behaviour of the preheated microalgae oil jet for efficiency improvement in diesel engines10.1007/s13399-021-02162-w ↗
41. Sacomano Filho, F.L., Krieger Filho, G.C., van Oijen, J.A., and Sadik, A. (2018, January 22–26). Numerical investigation of droplet evaporation modeling in combustion environment. Proceedings of the ICLASS 2018, 14th Triennial International Conference on Liquid Atomization and Spray Systems, Chicago, IL, USA.
42. Automotive Fuels—Diesel—Requirements and Test Methods; German Version EN 590:2013 + AC:2014 (Foreign Standard) (Standard No. EN 590:2014). Available online: https://webstore.ansi.org/standards/din/dinen5902014?srsltid=AfmBOorKshQ54vfSh9u-WS2LfqxLyr5o7WDu2HcEREtPZAUAUMqacV8m.
43. (2015). Animal and Vegetable Fats and Oils—Gas Chromatography of Fatty Acid Methyl Esters—Part 4: Determination by Capillary Gas Chromatography (Standard No. ISO 12966-4:2015).
44. The thermal conductivity of hydrocarbon gases at normal pressures10.1002/aic.690070219 ↗
45. Vargaftik, N.B. (1993). Handbook of Thermal Conductivity of Liquids and Gases, Taylor & Francis Ltd.. [1st ed.].
46. Rotational relaxation and the relation between thermal conductivity and viscosity for some nonpolar polyatomic gases10.1016/S0082-0784(63)80080-6 ↗
47. Temperature and Finite Pulse-Time Effects in the Flash Method for Measuring Thermal Diffusivity10.1063/1.1729711 ↗
48. Correlation of vapour pressure, temperature, and latent heat of vaporisation10.1002/jctb.5010200107 ↗
49. Sherwood, T.K., and Reed, C.E. (1939). Applied Mathematics in Chemical Engineering, McGraw-Hill.
50. Lydersen, A.L. (1955). Estimation of Critical Properties of Organic Compounds by the Method of Group Contributions, University of Wisconsin, Engineering Experiment Station.
51. Bretschneider, S. (1966). Properties of Gases and Liquids, Khimiya Publishing House. (In Russian).
52. Shelomentsev, A.M. (1985). The Calculation of Thermophysical Properties of Petroleum Products, Review, Publishing House of Standards. (In Russian).
53. ter Haar, D. (2013). Kinetic Theory. The Chapman–Enskog Solution of the Transport Equation for Moderately Dense Gases, Pergamon. [1st ed.].
54. Approximate calculation of the viscosity of vapors of organic compounds
55. The viscosity of hydrocarbon gases at normal pressures10.1021/je00103a036 ↗
56. Laser-driven calorimetry measurements of petroleum and biodiesel fuels10.1016/j.fuel.2017.09.086 ↗
57. Rudin, M.G. (1989). Oil Refiner’s Pocket Guide, Khimiya Publishing House. (In Russian).
58. Density of hydrocarbon gases and vapors at high temperature and pressure