Vaporization of a spinning fuel droplet

David Lozinski, Moshe Matalon

Research output: Contribution to journalArticle

Abstract

The influence of rotation on droplet vaporization is investigated theoretically. A single, spherical liquid fuel droplet, spinning at a constant angular velocity about its own axis is considered. The analysis assumes that the rotational Reynolds number is small and that quasisteady conditions prevail in the gas phase. Thus, the swirling flow field and the accompanying heat transfer process are obtained as modifications of the classical solution of a stationary vaporizing droplet. It is found that the induced secondary flow, inwards towards the droplet poles and outwards from its equator, enhances the vaporization rate and shortens the droplet lifetime. An explicit expression is obtained for the correction to the evaporation rate and consequently a modification to the d2-law is derived. For most practical cases, the dependence of the evaporation rate on the rotational Reynolds number, Rer, and on the Prandtl number, Pr, is approximately of the form (Rer)4 Pr7/5. Finally, an explicit expression for the torque exerted on the evaporating droplet compared to that exerted on a solid sphere is derived.

Original languageEnglish (US)
Pages (from-to)1483-1491
Number of pages9
JournalSymposium (International) on Combustion
Volume24
Issue number1
DOIs
StatePublished - 1992
Externally publishedYes

Fingerprint

evaporation rate
Vaporization
metal spinning
Reynolds number
liquid fuels
secondary flow
vaporizing
swirling
Prandtl number
equators
angular velocity
torque
flow distribution
poles
heat transfer
vapor phases
life (durability)
Evaporation
Swirling flow
Secondary flow

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Fuel Technology
  • Energy Engineering and Power Technology
  • Mechanical Engineering
  • Physical and Theoretical Chemistry
  • Fluid Flow and Transfer Processes

Cite this

Vaporization of a spinning fuel droplet. / Lozinski, David; Matalon, Moshe.

In: Symposium (International) on Combustion, Vol. 24, No. 1, 1992, p. 1483-1491.

Research output: Contribution to journalArticle

Lozinski, David ; Matalon, Moshe. / Vaporization of a spinning fuel droplet. In: Symposium (International) on Combustion. 1992 ; Vol. 24, No. 1. pp. 1483-1491.
@article{dda64a5f1dbb442ebcdb044b00792c3a,
title = "Vaporization of a spinning fuel droplet",
abstract = "The influence of rotation on droplet vaporization is investigated theoretically. A single, spherical liquid fuel droplet, spinning at a constant angular velocity about its own axis is considered. The analysis assumes that the rotational Reynolds number is small and that quasisteady conditions prevail in the gas phase. Thus, the swirling flow field and the accompanying heat transfer process are obtained as modifications of the classical solution of a stationary vaporizing droplet. It is found that the induced secondary flow, inwards towards the droplet poles and outwards from its equator, enhances the vaporization rate and shortens the droplet lifetime. An explicit expression is obtained for the correction to the evaporation rate and consequently a modification to the d2-law is derived. For most practical cases, the dependence of the evaporation rate on the rotational Reynolds number, Rer, and on the Prandtl number, Pr, is approximately of the form (Rer)4 Pr7/5. Finally, an explicit expression for the torque exerted on the evaporating droplet compared to that exerted on a solid sphere is derived.",
author = "David Lozinski and Moshe Matalon",
year = "1992",
doi = "10.1016/S0082-0784(06)80173-6",
language = "English (US)",
volume = "24",
pages = "1483--1491",
journal = "Proceedings of the Combustion Institute",
issn = "1540-7489",
publisher = "Elsevier Limited",
number = "1",

}

TY - JOUR

T1 - Vaporization of a spinning fuel droplet

AU - Lozinski, David

AU - Matalon, Moshe

PY - 1992

Y1 - 1992

N2 - The influence of rotation on droplet vaporization is investigated theoretically. A single, spherical liquid fuel droplet, spinning at a constant angular velocity about its own axis is considered. The analysis assumes that the rotational Reynolds number is small and that quasisteady conditions prevail in the gas phase. Thus, the swirling flow field and the accompanying heat transfer process are obtained as modifications of the classical solution of a stationary vaporizing droplet. It is found that the induced secondary flow, inwards towards the droplet poles and outwards from its equator, enhances the vaporization rate and shortens the droplet lifetime. An explicit expression is obtained for the correction to the evaporation rate and consequently a modification to the d2-law is derived. For most practical cases, the dependence of the evaporation rate on the rotational Reynolds number, Rer, and on the Prandtl number, Pr, is approximately of the form (Rer)4 Pr7/5. Finally, an explicit expression for the torque exerted on the evaporating droplet compared to that exerted on a solid sphere is derived.

AB - The influence of rotation on droplet vaporization is investigated theoretically. A single, spherical liquid fuel droplet, spinning at a constant angular velocity about its own axis is considered. The analysis assumes that the rotational Reynolds number is small and that quasisteady conditions prevail in the gas phase. Thus, the swirling flow field and the accompanying heat transfer process are obtained as modifications of the classical solution of a stationary vaporizing droplet. It is found that the induced secondary flow, inwards towards the droplet poles and outwards from its equator, enhances the vaporization rate and shortens the droplet lifetime. An explicit expression is obtained for the correction to the evaporation rate and consequently a modification to the d2-law is derived. For most practical cases, the dependence of the evaporation rate on the rotational Reynolds number, Rer, and on the Prandtl number, Pr, is approximately of the form (Rer)4 Pr7/5. Finally, an explicit expression for the torque exerted on the evaporating droplet compared to that exerted on a solid sphere is derived.

UR - http://www.scopus.com/inward/record.url?scp=0027012257&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027012257&partnerID=8YFLogxK

U2 - 10.1016/S0082-0784(06)80173-6

DO - 10.1016/S0082-0784(06)80173-6

M3 - Article

AN - SCOPUS:0027012257

VL - 24

SP - 1483

EP - 1491

JO - Proceedings of the Combustion Institute

JF - Proceedings of the Combustion Institute

SN - 1540-7489

IS - 1

ER -