Influence of a Standing Wave Flow-Field on the Dynamics of a Spray Diffusion Flame

Barry Greenberg; David Katoshevski

doi:10.3390/fluids6010027

Influence of a Standing Wave Flow-Field on the Dynamics of a Spray Diffusion Flame

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Abstract

A theoretical investigation of the inﬂuence of a standing wave ﬂow-ﬁeld on the dynamics of a laminar two-dimensional spray diffusion ﬂame is presented for the ﬁrst time. The mathematical analysis permits mild slip between the droplets and their host surroundings. For the liquid phase, the use of a small Stokes number as the perturbation parameater enables a solution of the governingequations to be developed. Inﬂuence of the standing wave ﬂow-ﬁeld on droplet grouping is described by a specially constructed modiﬁcation of the vaporization Damkohler number. Instantaneous ﬂame front shapes are found via a solution for the usual Schwab–Zeldovitch parameter. Numerical results obtained from the analytical solution uncover the strong bearing that droplet grouping, induced bythe standing wave ﬂow-ﬁeld, can have on ﬂame height, shape, and type (over- or under-ventilated)and on the existence of multiple ﬂame fronts.

Original language	English
Article number	27
Journal	Fluids
Volume	6
Issue number	27
DOIs	https://doi.org/10.3390/fluids6010027
State	Published - 6 Jan 2021

Keywords

Spray combustion
diffusion ﬂames
Modeling
droplet grouping

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10.3390/fluids6010027

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title = "Influence of a Standing Wave Flow-Field on the Dynamics of a Spray Diffusion Flame",

abstract = "A theoretical investigation of the inﬂuence of a standing wave ﬂow-ﬁeld on the dynamics of a laminar two-dimensional spray diffusion ﬂame is presented for the ﬁrst time. The mathematical analysis permits mild slip between the droplets and their host surroundings. For the liquid phase, the use of a small Stokes number as the perturbation parameater enables a solution of the governingequations to be developed. Inﬂuence of the standing wave ﬂow-ﬁeld on droplet grouping is described by a specially constructed modiﬁcation of the vaporization Damkohler number. Instantaneous ﬂame front shapes are found via a solution for the usual Schwab–Zeldovitch parameter. Numerical results obtained from the analytical solution uncover the strong bearing that droplet grouping, induced bythe standing wave ﬂow-ﬁeld, can have on ﬂame height, shape, and type (over- or under-ventilated)and on the existence of multiple ﬂame fronts.",

keywords = "Spray combustion, diffusion ﬂames, Modeling, droplet grouping",

author = "Barry Greenberg and David Katoshevski",

note = "Funding Information: Funding: This research was (partially) funded by the Israel Science Foundation, Grant No.621/11. Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland.",

year = "2021",

month = jan,

day = "6",

doi = "10.3390/fluids6010027",

language = "English",

volume = "6",

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AU - Greenberg, Barry

AU - Katoshevski, David

N1 - Funding Information: Funding: This research was (partially) funded by the Israel Science Foundation, Grant No.621/11. Publisher Copyright: © 2021 by the authors. Licensee MDPI, Basel, Switzerland.

PY - 2021/1/6

Y1 - 2021/1/6

N2 - A theoretical investigation of the inﬂuence of a standing wave ﬂow-ﬁeld on the dynamics of a laminar two-dimensional spray diffusion ﬂame is presented for the ﬁrst time. The mathematical analysis permits mild slip between the droplets and their host surroundings. For the liquid phase, the use of a small Stokes number as the perturbation parameater enables a solution of the governingequations to be developed. Inﬂuence of the standing wave ﬂow-ﬁeld on droplet grouping is described by a specially constructed modiﬁcation of the vaporization Damkohler number. Instantaneous ﬂame front shapes are found via a solution for the usual Schwab–Zeldovitch parameter. Numerical results obtained from the analytical solution uncover the strong bearing that droplet grouping, induced bythe standing wave ﬂow-ﬁeld, can have on ﬂame height, shape, and type (over- or under-ventilated)and on the existence of multiple ﬂame fronts.

AB - A theoretical investigation of the inﬂuence of a standing wave ﬂow-ﬁeld on the dynamics of a laminar two-dimensional spray diffusion ﬂame is presented for the ﬁrst time. The mathematical analysis permits mild slip between the droplets and their host surroundings. For the liquid phase, the use of a small Stokes number as the perturbation parameater enables a solution of the governingequations to be developed. Inﬂuence of the standing wave ﬂow-ﬁeld on droplet grouping is described by a specially constructed modiﬁcation of the vaporization Damkohler number. Instantaneous ﬂame front shapes are found via a solution for the usual Schwab–Zeldovitch parameter. Numerical results obtained from the analytical solution uncover the strong bearing that droplet grouping, induced bythe standing wave ﬂow-ﬁeld, can have on ﬂame height, shape, and type (over- or under-ventilated)and on the existence of multiple ﬂame fronts.

KW - Spray combustion

KW - diffusion ﬂames

KW - Modeling

KW - droplet grouping

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M3 - Article

VL - 6

JO - Fluids

JF - Fluids

SN - 2311-5521

IS - 27

M1 - 27

ER -

Influence of a Standing Wave Flow-Field on the Dynamics of a Spray Diffusion Flame

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