Forces on a porous particle in an oscillating flow

P. Vainshtein; M. Shapiro

doi:10.1016/j.jcis.2008.10.050

Forces on a porous particle in an oscillating flow

P. Vainshtein^*, M. Shapiro

^*Corresponding author for this work

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

13 Scopus citations

Abstract

We investigate theoretically forces acting on a porous particle in an oscillating viscous incompressible flow. We use the unsteady equations describing the creeping flow, namely the Stokes equations exterior to the particle and the Darcy or Brinkman equations inside it. The effect of particle permeability and oscillation frequency on the flow and forces is expressed via the Brinkman parameter β = a / sqrt(k) and the frequency parameter Y = sqrt(a² ω / 2 ν) = a / δ, respectively. Here a is particle radius, k is its permeability, ω is the angular frequency, δ is the thickness of Stokes layer (penetration depth) and ν is the fluid kinematic viscosity. It is shown that the oscillations interact with permeable structure of the particle and affect both the Stokes-like viscous drag and the added mass force components.

Original language	English
Pages (from-to)	149-155
Number of pages	7
Journal	Journal of Colloid and Interface Science
Volume	330
Issue number	1
DOIs	https://doi.org/10.1016/j.jcis.2008.10.050
State	Published - 1 Feb 2009
Externally published	Yes

Keywords

Added mass force
Drag force
Oscillations
Particle
Permeability

Access to Document

10.1016/j.jcis.2008.10.050

Cite this

@article{1742aca3f99b48ab9ff1d52f9d8b81e3,

title = "Forces on a porous particle in an oscillating flow",

abstract = "We investigate theoretically forces acting on a porous particle in an oscillating viscous incompressible flow. We use the unsteady equations describing the creeping flow, namely the Stokes equations exterior to the particle and the Darcy or Brinkman equations inside it. The effect of particle permeability and oscillation frequency on the flow and forces is expressed via the Brinkman parameter β = a / sqrt(k) and the frequency parameter Y = sqrt(a2 ω / 2 ν) = a / δ, respectively. Here a is particle radius, k is its permeability, ω is the angular frequency, δ is the thickness of Stokes layer (penetration depth) and ν is the fluid kinematic viscosity. It is shown that the oscillations interact with permeable structure of the particle and affect both the Stokes-like viscous drag and the added mass force components.",

keywords = "Added mass force, Drag force, Oscillations, Particle, Permeability",

author = "P. Vainshtein and M. Shapiro",

note = "Funding Information: This work was supported by the Fund for the Promotion of Research at Technion – Israel Institute of Technology. ",

year = "2009",

month = feb,

day = "1",

doi = "10.1016/j.jcis.2008.10.050",

language = "英语",

volume = "330",

pages = "149--155",

journal = "Journal of Colloid and Interface Science",

issn = "0021-9797",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Forces on a porous particle in an oscillating flow

AU - Vainshtein, P.

AU - Shapiro, M.

N1 - Funding Information: This work was supported by the Fund for the Promotion of Research at Technion – Israel Institute of Technology.

PY - 2009/2/1

Y1 - 2009/2/1

N2 - We investigate theoretically forces acting on a porous particle in an oscillating viscous incompressible flow. We use the unsteady equations describing the creeping flow, namely the Stokes equations exterior to the particle and the Darcy or Brinkman equations inside it. The effect of particle permeability and oscillation frequency on the flow and forces is expressed via the Brinkman parameter β = a / sqrt(k) and the frequency parameter Y = sqrt(a2 ω / 2 ν) = a / δ, respectively. Here a is particle radius, k is its permeability, ω is the angular frequency, δ is the thickness of Stokes layer (penetration depth) and ν is the fluid kinematic viscosity. It is shown that the oscillations interact with permeable structure of the particle and affect both the Stokes-like viscous drag and the added mass force components.

AB - We investigate theoretically forces acting on a porous particle in an oscillating viscous incompressible flow. We use the unsteady equations describing the creeping flow, namely the Stokes equations exterior to the particle and the Darcy or Brinkman equations inside it. The effect of particle permeability and oscillation frequency on the flow and forces is expressed via the Brinkman parameter β = a / sqrt(k) and the frequency parameter Y = sqrt(a2 ω / 2 ν) = a / δ, respectively. Here a is particle radius, k is its permeability, ω is the angular frequency, δ is the thickness of Stokes layer (penetration depth) and ν is the fluid kinematic viscosity. It is shown that the oscillations interact with permeable structure of the particle and affect both the Stokes-like viscous drag and the added mass force components.

KW - Added mass force

KW - Drag force

KW - Oscillations

KW - Particle

KW - Permeability

UR - http://www.scopus.com/inward/record.url?scp=56649103688&partnerID=8YFLogxK

U2 - 10.1016/j.jcis.2008.10.050

DO - 10.1016/j.jcis.2008.10.050

M3 - 文章

C2 - 18977487

AN - SCOPUS:56649103688

SN - 0021-9797

VL - 330

SP - 149

EP - 155

JO - Journal of Colloid and Interface Science

JF - Journal of Colloid and Interface Science

IS - 1

ER -

Forces on a porous particle in an oscillating flow

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this