Double-diffusive instability in core–annular pipe flow

Sahu, Kirti Chandra

doi:10.1017/jfm.2015.760

Cited by 21 publications

(15 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We use half channel height (H) as the reference length, and ε 1 kT V 0 /ℓ eη 1 L as the velocity scale, u ref following the non dimensionalization followed in reported literature. [ 1 ] Here, ε 1 , σ 1 , η 1 , and ρ 1 are used as the reference values for the permittivity, electrical conductivity, dynamic viscosity, and the density respectively, and η 1 u ref /H is the reference for pressure. Thus, after dropping tildes from the dimensionless variables, the dimensionless governing equations are given by:

\nabla \cdot ((), ε \nabla ψ) = λ^{2} \sinh ψ,

\nabla \cdot ((), ε \nabla ψ_{e}) = 0,

\frac{\partial ϕ}{\partial t} + boldu \cdot \nabla ϕ = \frac{1}{italicPe italicCn} ((), \nabla \cdot ((), M \nabla G))

\nabla \cdot boldu = 0

italicRe ([], \frac{\partial u}{\partial t} + boldu \cdot \nabla boldu) = - \nabla p + \nabla \cdot ((), η ((), \nabla boldu + \nabla u^{T})) + \frac{1}{italicCa italicCn} G \nabla ϕ + F_{body}

…”

Section: Formulationmentioning

confidence: 99%

“…The transport of immiscible fluids in narrow fluidic channels/pipes is not only fundamentally interesting due to the appearance of different modes of instability but also relevant in many practical applications in lab-on-achip based biochemical analyses, [1,2] in micro electro mechanical system (MEMS) related devices, in coating industries, and in biomedical processes, to name a few (see other examples provided in the literature [3][4][5][6] ). In all the aforementioned applications, the underlying physics of the immiscible binary fluids is largely governed by the dynamics of the contact line.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Electro‐capillary filling in a microchannel under the influence of magnetic and electric fields

et al. 2020

View full text Add to dashboard Cite

We numerically investigate the dynamics of two immiscible conductive fluids in a narrow fluidic channel under the combined influence of electric and magnetic fields using a diffuse interface based phase-field model. The numerical solver is validated from two different perspectives, viz., with the reported results of microscale multiphase transport as well as the available experimental results in the paradigm of electrically actuated transport. The magnetic field induces the Lorentz force due to its interaction with the electrical forcing, which in turn leads to complex interfacial dynamics and development of a finger-like interface front of the advancing fluid into the receding fluid. Under certain conditions studied in the present work, the trend reverses, and a finger of receding fluid is formed into the advancing fluid. The effect of contrast in fluid properties is studied and the interface breaking phenomenon is observed beyond a threshold viscosity contrast. It is found that for a given viscosity contrast between the fluids, an increase in the strength of the applied magnetic field prevents wetting failure.

show abstract

\nabla \cdot ((), ε \nabla ψ) = λ^{2} \sinh ψ,

\nabla \cdot ((), ε \nabla ψ_{e}) = 0,

\frac{\partial ϕ}{\partial t} + boldu \cdot \nabla ϕ = \frac{1}{italicPe italicCn} ((), \nabla \cdot ((), M \nabla G))

\nabla \cdot boldu = 0

italicRe ([], \frac{\partial u}{\partial t} + boldu \cdot \nabla boldu) = - \nabla p + \nabla \cdot ((), η ((), \nabla boldu + \nabla u^{T})) + \frac{1}{italicCa italicCn} G \nabla ϕ + F_{body}

…”

Section: Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Electro‐capillary filling in a microchannel under the influence of magnetic and electric fields

et al. 2020

View full text Add to dashboard Cite

show abstract

“…For pipe geometry, although many studies have investigated the linear stability of immiscible and miscible multifluid flows with either no-slip or Navier slip boundary condition (Hu & Joseph 1989; Joseph 1997; Li & Renardy 1999; Selvam et al. 2007; Sahu 2016; Chattopadhyay et al. 2017, etc.…”

Section: Introductionmentioning

confidence: 99%

“…A simplified and widely used slip boundary condition is the Navier slip boundary condition, which has been shown to apply to many flow problems and is frequently adopted for linear stability studies (Vinogradova 1999;Lauga & Cossu 2005;Min & Kim 2005;Gan & Wu 2006;Ren, Chen & Zhu 2008;Ghosh, Usha & Sahu 2014;Seo & Mani 2016;Chattopadhyay, Usha & Sahu 2017, to list a few). For pipe geometry, although many studies have investigated the linear stability of immiscible and miscible multifluid flows with either no-slip or Navier slip boundary condition (Hu & Joseph 1989;Joseph 1997;Li & Renardy 1999;Selvam et al 2007;Sahu 2016;Chattopadhyay et al 2017, etc. ), far fewer studies were dedicated to the linear stability of single-phase pipe flow with slip boundary condition.…”

Section: Introductionmentioning

confidence: 99%

Linear stability of slip pipe flow

Chen

Song

2021

J. Fluid Mech.

View full text Add to dashboard Cite

show abstract

“…Pertaining to purely annular flow instabilities of multilayered polymeric systems, substantial work has been conducted in the areas of core-annular flow [17][18][19][20][21][22][23][24] and eccentric annular flow, [25][26][27] mainly due to interest in oil and gas drilling operations. In the realm of polymer melt flow, little work has been conducted on flow through concentric annuli, due to the geometries' high tolerance of flow instabilities.…”

Section: Introductionmentioning

confidence: 99%

Microlayer and nanolayer tubing and piping via layer multiplication coextrusion. II. Rheologically mismatched systems

Schneider

Colton

McCauley

et al. 2019

J of Applied Polymer Sci

View full text Add to dashboard Cite

An advanced technology, presented in Part 1, was utilized with a custom annular die to produce structures having 9–129 layers. Two material systems were chosen to produce layer structures of viscosity and elasticity stratified type both with/without the application of a rotating boundary wall within the annular land. A maximum rotation window for nine‐layer structures was determined to maintain the layer structure while minimizing the appearance of the weld lines and achieving concentric layers. ANSYS Polyflow was utilized in conjunction to study trilayered systems of generic material properties in stratified forms, along with replication of the experimental systems. Combination of experimental and simulation approaches herein are allowing for the achievement of high layer number, low layer thickness, systems in annular form for the first time. The continued development of this technology can lead to application areas of tubes/pipes with advanced properties such as optical filtering, pressure resistance, and permeation reduction. © 2019 Wiley Periodicals, Inc. J. Appl. Polym. Sci. 2019, 137, 48684.

show abstract

Double-diffusive instability in core–annular pipe flow

Cited by 21 publications

References 36 publications

Electro‐capillary filling in a microchannel under the influence of magnetic and electric fields

Electro‐capillary filling in a microchannel under the influence of magnetic and electric fields

Linear stability of slip pipe flow

Microlayer and nanolayer tubing and piping via layer multiplication coextrusion. II. Rheologically mismatched systems

Contact Info

Product

Resources

About