Accurate low-order modeling of electrified falling films at moderate Reynolds number

Alexander W. Wray, Omar K. Matar, Demetrios T. Papageorgiou

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The two- and three-dimensional spatio-temporal dynamics of a falling, electrified leaky dielectric film are studied. The method of weighted residuals is used to derive high-order models that account for both inertia as well as second-order electrostatic effects. The models are validated against both linear theory and direct numerical simulations of the Navier-Stokes equations. It is shown that a simplified model offers a rapid computational option at the cost of a minimal decrease in accuracy. This model is then used to perform a parametric study in three dimensions.

LanguageEnglish
Article number063701
Number of pages21
JournalPhysical Review Fluids
Volume2
Issue number6
DOIs
Publication statusPublished - 22 Jun 2017

Fingerprint

Reynolds number
Modeling
Dielectric films
Direct numerical simulation
Model
Electrostatics
Inertia
Navier Stokes equations
Three-dimension
Navier-Stokes Equations
Higher Order
Decrease
Three-dimensional

Keywords

  • Navier-Stokes equation
  • spatio-temporal dynamics
  • dielectric film

Cite this

@article{017adb2f8ecd42438c35950a87eb4a40,
title = "Accurate low-order modeling of electrified falling films at moderate Reynolds number",
abstract = "The two- and three-dimensional spatio-temporal dynamics of a falling, electrified leaky dielectric film are studied. The method of weighted residuals is used to derive high-order models that account for both inertia as well as second-order electrostatic effects. The models are validated against both linear theory and direct numerical simulations of the Navier-Stokes equations. It is shown that a simplified model offers a rapid computational option at the cost of a minimal decrease in accuracy. This model is then used to perform a parametric study in three dimensions.",
keywords = "Navier-Stokes equation, spatio-temporal dynamics, dielectric film",
author = "Wray, {Alexander W.} and Matar, {Omar K.} and Papageorgiou, {Demetrios T.}",
note = "{\circledC} 2017 American Physical Society.",
year = "2017",
month = "6",
day = "22",
doi = "10.1103/PhysRevFluids.2.063701",
language = "English",
volume = "2",
journal = "Physical Review Fluids",
issn = "2469-990X",
number = "6",

}

Accurate low-order modeling of electrified falling films at moderate Reynolds number. / Wray, Alexander W.; Matar, Omar K.; Papageorgiou, Demetrios T.

In: Physical Review Fluids, Vol. 2, No. 6, 063701, 22.06.2017.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Accurate low-order modeling of electrified falling films at moderate Reynolds number

AU - Wray, Alexander W.

AU - Matar, Omar K.

AU - Papageorgiou, Demetrios T.

N1 - © 2017 American Physical Society.

PY - 2017/6/22

Y1 - 2017/6/22

N2 - The two- and three-dimensional spatio-temporal dynamics of a falling, electrified leaky dielectric film are studied. The method of weighted residuals is used to derive high-order models that account for both inertia as well as second-order electrostatic effects. The models are validated against both linear theory and direct numerical simulations of the Navier-Stokes equations. It is shown that a simplified model offers a rapid computational option at the cost of a minimal decrease in accuracy. This model is then used to perform a parametric study in three dimensions.

AB - The two- and three-dimensional spatio-temporal dynamics of a falling, electrified leaky dielectric film are studied. The method of weighted residuals is used to derive high-order models that account for both inertia as well as second-order electrostatic effects. The models are validated against both linear theory and direct numerical simulations of the Navier-Stokes equations. It is shown that a simplified model offers a rapid computational option at the cost of a minimal decrease in accuracy. This model is then used to perform a parametric study in three dimensions.

KW - Navier-Stokes equation

KW - spatio-temporal dynamics

KW - dielectric film

UR - https://journals.aps.org/prfluids/

U2 - 10.1103/PhysRevFluids.2.063701

DO - 10.1103/PhysRevFluids.2.063701

M3 - Article

VL - 2

JO - Physical Review Fluids

T2 - Physical Review Fluids

JF - Physical Review Fluids

SN - 2469-990X

IS - 6

M1 - 063701

ER -