Two approaches to modelling the heating of evaporating droplets

S. S. Sazhin; Mansour Al Qubeissi; J. F. Xie

doi:10.1016/j.icheatmasstransfer.2014.08.004

Two approaches to modelling the heating of evaporating droplets

S. S. Sazhin, Mansour Al Qubeissi, J. F. Xie

University of Brighton

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

4 Downloads (Pure)

Abstract

Two approaches to modelling the heating of evaporating droplets have been widely used in engineering applications. In the first approach the heat rate supplied to the droplets to raise their temperatures, View the MathML source, is derived from the requirement that droplet evaporation rates, inferred from steady-state equations for mass and heat balance, should be the same. The second approach is based on the direct calculation of the distribution of temperature inside droplets assuming that their thermal conductivity is not infinitely large. The implications of these two approaches are compared for the case of stationary droplets in conditions relevant to Diesel engines. It is pointed out that although the trends of time evolution of View the MathML source predicted by both approaches are similar, actual values of View the MathML source predicted by these approaches can be visibly different. This difference can lead to noticeable differences in predicted droplet surface temperatures, radii and evaporation times. Possible reasons for these differences are discussed.

Original language	English
Pages (from-to)	353-356
Number of pages	4
Journal	International Communications in Heat and Mass Transfer
Volume	57
Early online date	13 Aug 2014
DOIs	https://doi.org/10.1016/j.icheatmasstransfer.2014.08.004
Publication status	Published - Oct 2014
Externally published	Yes

Bibliographical note

“NOTICE: this is the author’s version of a work that was accepted for publication in International Communications in Heat and Mass Transfer. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in International Communications in Heat and Mass Transfer, [57, October 2014)] DOI: 10.1016/j.icheatmasstransfer.2014.08.004.
© 2015, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/

Keywords

Droplet evaporation
Droplet heating
Heat/mass transfer
N-Dodecane

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10.1016/j.icheatmasstransfer.2014.08.004

Cite this

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title = "Two approaches to modelling the heating of evaporating droplets",

abstract = "Two approaches to modelling the heating of evaporating droplets have been widely used in engineering applications. In the first approach the heat rate supplied to the droplets to raise their temperatures, View the MathML source, is derived from the requirement that droplet evaporation rates, inferred from steady-state equations for mass and heat balance, should be the same. The second approach is based on the direct calculation of the distribution of temperature inside droplets assuming that their thermal conductivity is not infinitely large. The implications of these two approaches are compared for the case of stationary droplets in conditions relevant to Diesel engines. It is pointed out that although the trends of time evolution of View the MathML source predicted by both approaches are similar, actual values of View the MathML source predicted by these approaches can be visibly different. This difference can lead to noticeable differences in predicted droplet surface temperatures, radii and evaporation times. Possible reasons for these differences are discussed. ",

keywords = "Droplet evaporation, Droplet heating, Heat/mass transfer, N-Dodecane",

author = "Sazhin, {S. S.} and {Al Qubeissi}, Mansour and Xie, {J. F.}",

note = "“NOTICE: this is the author{\textquoteright}s version of a work that was accepted for publication in International Communications in Heat and Mass Transfer. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in International Communications in Heat and Mass Transfer, [57, October 2014)] DOI: 10.1016/j.icheatmasstransfer.2014.08.004. {\textcopyright} 2015, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/",

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doi = "10.1016/j.icheatmasstransfer.2014.08.004",

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AU - Sazhin, S. S.

AU - Al Qubeissi, Mansour

AU - Xie, J. F.

N1 - “NOTICE: this is the author’s version of a work that was accepted for publication in International Communications in Heat and Mass Transfer. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in International Communications in Heat and Mass Transfer, [57, October 2014)] DOI: 10.1016/j.icheatmasstransfer.2014.08.004. © 2015, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/

PY - 2014/10

Y1 - 2014/10

N2 - Two approaches to modelling the heating of evaporating droplets have been widely used in engineering applications. In the first approach the heat rate supplied to the droplets to raise their temperatures, View the MathML source, is derived from the requirement that droplet evaporation rates, inferred from steady-state equations for mass and heat balance, should be the same. The second approach is based on the direct calculation of the distribution of temperature inside droplets assuming that their thermal conductivity is not infinitely large. The implications of these two approaches are compared for the case of stationary droplets in conditions relevant to Diesel engines. It is pointed out that although the trends of time evolution of View the MathML source predicted by both approaches are similar, actual values of View the MathML source predicted by these approaches can be visibly different. This difference can lead to noticeable differences in predicted droplet surface temperatures, radii and evaporation times. Possible reasons for these differences are discussed.

AB - Two approaches to modelling the heating of evaporating droplets have been widely used in engineering applications. In the first approach the heat rate supplied to the droplets to raise their temperatures, View the MathML source, is derived from the requirement that droplet evaporation rates, inferred from steady-state equations for mass and heat balance, should be the same. The second approach is based on the direct calculation of the distribution of temperature inside droplets assuming that their thermal conductivity is not infinitely large. The implications of these two approaches are compared for the case of stationary droplets in conditions relevant to Diesel engines. It is pointed out that although the trends of time evolution of View the MathML source predicted by both approaches are similar, actual values of View the MathML source predicted by these approaches can be visibly different. This difference can lead to noticeable differences in predicted droplet surface temperatures, radii and evaporation times. Possible reasons for these differences are discussed.

KW - Droplet evaporation

KW - Droplet heating

KW - Heat/mass transfer

KW - N-Dodecane

U2 - 10.1016/j.icheatmasstransfer.2014.08.004

DO - 10.1016/j.icheatmasstransfer.2014.08.004

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SN - 0735-1933

VL - 57

SP - 353

EP - 356

JO - International Communications in Heat and Mass Transfer

JF - International Communications in Heat and Mass Transfer

ER -

Two approaches to modelling the heating of evaporating droplets

Abstract

Bibliographical note

Keywords

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