Application of boundary integral techniques to fluid tracking and mixing

Peyman Pakdel; Sadhan C. Jana; Julio M. Ottino

doi:10.1080/00986449608936524

Application of boundary integral techniques to fluid tracking and mixing

Peyman Pakdel^*, Sadhan C. Jana, Julio M. Ottino

^*Corresponding author for this work

Administration

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

Abstract

The application of boundary integral techniques to the study of mixing of viscous fluids is presented. Single Layer and Double Layer Representations for Stokes flows in bounded domains are formulated and numerical examples of mixing in selected geometrically-challenging two and three-dimensional problems are illustrated. Emphasis is given to the analysis of errors encountered in the point evaluation of the velocity field and the calculation of subsequent trajectories in time-perodic flows. It is shown that even though individual particle paths are sensitive to the accumulation of discretization errors, mixing templates can be calculated with reasonable accuracy. A simple error control formula is used that enables a systematic application of boundary integral methods to compute mixing patterns in time-periodic (chaotic) Stokes flows.

Original language	English (US)
Pages (from-to)	347-362
Number of pages	16
Journal	Chemical Engineering Communications
Volume	148-50
DOIs	https://doi.org/10.1080/00986449608936524
State	Published - 1996

Keywords

Boundary integral equations
Chaotic mixing
Fluid trajectory

ASJC Scopus subject areas

General Chemistry
General Chemical Engineering

Access to Document

10.1080/00986449608936524

Cite this

@article{ba7a9fae517a4494958575e37529092d,

title = "Application of boundary integral techniques to fluid tracking and mixing",

abstract = "The application of boundary integral techniques to the study of mixing of viscous fluids is presented. Single Layer and Double Layer Representations for Stokes flows in bounded domains are formulated and numerical examples of mixing in selected geometrically-challenging two and three-dimensional problems are illustrated. Emphasis is given to the analysis of errors encountered in the point evaluation of the velocity field and the calculation of subsequent trajectories in time-perodic flows. It is shown that even though individual particle paths are sensitive to the accumulation of discretization errors, mixing templates can be calculated with reasonable accuracy. A simple error control formula is used that enables a systematic application of boundary integral methods to compute mixing patterns in time-periodic (chaotic) Stokes flows.",

keywords = "Boundary integral equations, Chaotic mixing, Fluid trajectory",

author = "Peyman Pakdel and Jana, {Sadhan C.} and Ottino, {Julio M.}",

year = "1996",

doi = "10.1080/00986449608936524",

language = "English (US)",

volume = "148-50",

pages = "347--362",

journal = "Chemical Engineering Communications",

issn = "0098-6445",

publisher = "Taylor and Francis Ltd.",

}

TY - JOUR

T1 - Application of boundary integral techniques to fluid tracking and mixing

AU - Pakdel, Peyman

AU - Jana, Sadhan C.

AU - Ottino, Julio M.

PY - 1996

Y1 - 1996

N2 - The application of boundary integral techniques to the study of mixing of viscous fluids is presented. Single Layer and Double Layer Representations for Stokes flows in bounded domains are formulated and numerical examples of mixing in selected geometrically-challenging two and three-dimensional problems are illustrated. Emphasis is given to the analysis of errors encountered in the point evaluation of the velocity field and the calculation of subsequent trajectories in time-perodic flows. It is shown that even though individual particle paths are sensitive to the accumulation of discretization errors, mixing templates can be calculated with reasonable accuracy. A simple error control formula is used that enables a systematic application of boundary integral methods to compute mixing patterns in time-periodic (chaotic) Stokes flows.

AB - The application of boundary integral techniques to the study of mixing of viscous fluids is presented. Single Layer and Double Layer Representations for Stokes flows in bounded domains are formulated and numerical examples of mixing in selected geometrically-challenging two and three-dimensional problems are illustrated. Emphasis is given to the analysis of errors encountered in the point evaluation of the velocity field and the calculation of subsequent trajectories in time-perodic flows. It is shown that even though individual particle paths are sensitive to the accumulation of discretization errors, mixing templates can be calculated with reasonable accuracy. A simple error control formula is used that enables a systematic application of boundary integral methods to compute mixing patterns in time-periodic (chaotic) Stokes flows.

KW - Boundary integral equations

KW - Chaotic mixing

KW - Fluid trajectory

UR - http://www.scopus.com/inward/record.url?scp=0030498727&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030498727&partnerID=8YFLogxK

U2 - 10.1080/00986449608936524

DO - 10.1080/00986449608936524

M3 - Article

AN - SCOPUS:0030498727

SN - 0098-6445

VL - 148-50

SP - 347

EP - 362

JO - Chemical Engineering Communications

JF - Chemical Engineering Communications

ER -

Application of boundary integral techniques to fluid tracking and mixing

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this