Numerical simulation of water and water emulsion droplets evaporation in flames with different temperatures

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The models of heat and mass transfer and phase transition for "water droplet - flame" system have been developed using non-stationary nonlinear partial differential equations. The system of differential equations was solved by the finite-difference method. The locally one-dimensional method was used to solve the difference analogous of differential equations. One-dimensional differential equations were solved using an implicit four-point difference scheme. Nonlinear equations were solved by the iteration method. The evaporation rates of water droplets (with sizes from 0.05 mm to 5 mm) in the flame zone (at the temperatures from 500 K to 1200 K) were determined. Theoretical analysis established essentially nonlinear (close to exponential) form of dependence of the water droplet evaporation rate on the temperature of the external gas area and the temperature of a droplet surface. In particular, the water droplet evaporation rate varies from 0.25 to 0.29 kg/(m2s), when the temperature of external gas area is about 1100 K. On the other hand, the water droplet evaporation rate does not exceed 0.01 kg/(m2s) when the temperature of external gas area is about 350 K. Besides, it has been found out that droplets warm up at different rates depending on their initial temperature and velocity. As a result, the integral characteristics of droplet evaporation can increase substantially, when droplets move through the external gas area at the same temperature. We performed a similar investigation or droplet streams with 3 3 droplet concentration 0.001-0.005 m in 1 m of gas area (typical parameters for modern spray extinguishing systems).

Original languageEnglish
Title of host publicationProceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015
PublisherInternational Center for Numerical Methods in Engineering
Pages991-997
Number of pages7
ISBN (Electronic)9788494424472
Publication statusPublished - 1 Jan 2015
Event4th International Conference on Particle-Based Methods, PARTICLES 2015 - Barcelona, Spain
Duration: 28 Sep 201530 Sep 2015

Other

Other4th International Conference on Particle-Based Methods, PARTICLES 2015
CountrySpain
CityBarcelona
Period28.9.1530.9.15

Fingerprint

emulsions
flames
evaporation
evaporation rate
water
simulation
gases
differential equations
temperature
extinguishing
partial differential equations
nonlinear equations
mass transfer
iteration
sprayers
heat transfer

Keywords

  • Evaporation
  • High-temperature gas environment
  • Water droplet

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Strizhak, P. A., Volkov, R. S., & Zhdanova, AO. (2015). Numerical simulation of water and water emulsion droplets evaporation in flames with different temperatures. In Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015 (pp. 991-997). International Center for Numerical Methods in Engineering.

Numerical simulation of water and water emulsion droplets evaporation in flames with different temperatures. / Strizhak, Pavel A.; Volkov, Roman S.; Zhdanova, Alena Olegovna.

Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015. International Center for Numerical Methods in Engineering, 2015. p. 991-997.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Strizhak, PA, Volkov, RS & Zhdanova, AO 2015, Numerical simulation of water and water emulsion droplets evaporation in flames with different temperatures. in Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015. International Center for Numerical Methods in Engineering, pp. 991-997, 4th International Conference on Particle-Based Methods, PARTICLES 2015, Barcelona, Spain, 28.9.15.
Strizhak PA, Volkov RS, Zhdanova AO. Numerical simulation of water and water emulsion droplets evaporation in flames with different temperatures. In Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015. International Center for Numerical Methods in Engineering. 2015. p. 991-997
Strizhak, Pavel A. ; Volkov, Roman S. ; Zhdanova, Alena Olegovna. / Numerical simulation of water and water emulsion droplets evaporation in flames with different temperatures. Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015. International Center for Numerical Methods in Engineering, 2015. pp. 991-997
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AB - The models of heat and mass transfer and phase transition for "water droplet - flame" system have been developed using non-stationary nonlinear partial differential equations. The system of differential equations was solved by the finite-difference method. The locally one-dimensional method was used to solve the difference analogous of differential equations. One-dimensional differential equations were solved using an implicit four-point difference scheme. Nonlinear equations were solved by the iteration method. The evaporation rates of water droplets (with sizes from 0.05 mm to 5 mm) in the flame zone (at the temperatures from 500 K to 1200 K) were determined. Theoretical analysis established essentially nonlinear (close to exponential) form of dependence of the water droplet evaporation rate on the temperature of the external gas area and the temperature of a droplet surface. In particular, the water droplet evaporation rate varies from 0.25 to 0.29 kg/(m2s), when the temperature of external gas area is about 1100 K. On the other hand, the water droplet evaporation rate does not exceed 0.01 kg/(m2s) when the temperature of external gas area is about 350 K. Besides, it has been found out that droplets warm up at different rates depending on their initial temperature and velocity. As a result, the integral characteristics of droplet evaporation can increase substantially, when droplets move through the external gas area at the same temperature. We performed a similar investigation or droplet streams with 3 3 droplet concentration 0.001-0.005 m in 1 m of gas area (typical parameters for modern spray extinguishing systems).

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