High order asymptotic solution of planar contraction flow with a slip boundary condition

Pan Yang; Zi Xuan Yang; Ke Qin Zhu

doi:10.1007/s10404-007-0180-5

High order asymptotic solution of planar contraction flow with a slip boundary condition

Pan Yang, Zi Xuan Yang, Ke Qin Zhu

St. Anthony Falls Laboratory

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

1 Scopus citations

Abstract

The creeping flow of an incompressible viscous fluid in a planar contraction channel (Jeffery-Hamel flow) is investigated using slip boundary conditions. A high order asymptotic solution is presented to describe the velocity field accurately. Results indicate that the effect of slip is strong in the region close to the sink, while it is almost negligible in the far field, and in some cases, multi-extrema and reverse values appear in the velocity profile near the sink.

Original language	English (US)
Pages (from-to)	251-256
Number of pages	6
Journal	Microfluidics and Nanofluidics
Volume	4
Issue number	3
DOIs	https://doi.org/10.1007/s10404-007-0180-5
State	Published - Mar 2008

Keywords

Asymptotic solution
Incompressible flow
Jeffery-Hamel flow
Microfluidics
Slip boundary condition

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10.1007/s10404-007-0180-5

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abstract = "The creeping flow of an incompressible viscous fluid in a planar contraction channel (Jeffery-Hamel flow) is investigated using slip boundary conditions. A high order asymptotic solution is presented to describe the velocity field accurately. Results indicate that the effect of slip is strong in the region close to the sink, while it is almost negligible in the far field, and in some cases, multi-extrema and reverse values appear in the velocity profile near the sink.",

keywords = "Asymptotic solution, Incompressible flow, Jeffery-Hamel flow, Microfluidics, Slip boundary condition",

author = "Pan Yang and Yang, {Zi Xuan} and Zhu, {Ke Qin}",

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AU - Yang, Pan

AU - Yang, Zi Xuan

AU - Zhu, Ke Qin

PY - 2008/3

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N2 - The creeping flow of an incompressible viscous fluid in a planar contraction channel (Jeffery-Hamel flow) is investigated using slip boundary conditions. A high order asymptotic solution is presented to describe the velocity field accurately. Results indicate that the effect of slip is strong in the region close to the sink, while it is almost negligible in the far field, and in some cases, multi-extrema and reverse values appear in the velocity profile near the sink.

AB - The creeping flow of an incompressible viscous fluid in a planar contraction channel (Jeffery-Hamel flow) is investigated using slip boundary conditions. A high order asymptotic solution is presented to describe the velocity field accurately. Results indicate that the effect of slip is strong in the region close to the sink, while it is almost negligible in the far field, and in some cases, multi-extrema and reverse values appear in the velocity profile near the sink.

KW - Asymptotic solution

KW - Incompressible flow

KW - Jeffery-Hamel flow

KW - Microfluidics

KW - Slip boundary condition

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EP - 256

JO - Microfluidics and Nanofluidics

JF - Microfluidics and Nanofluidics

IS - 3

ER -

High order asymptotic solution of planar contraction flow with a slip boundary condition

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