Ferrofluid pipe flow in an oscillating magnetic field

Alexei P. Krekhov; Mark I. Shliomis; Shinichi Kamiyama

doi:10.1063/1.1863320

Ferrofluid pipe flow in an oscillating magnetic field

Alexei P. Krekhov, Mark I. Shliomis, Shinichi Kamiyama

Department of Mechanical Engineering

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

39 Scopus citations

Abstract

Ferrofluid pipe flow in an oscillating magnetic field along the pipe axis is studied theoretically in a wide range of the flow rate. The field-dependent part of viscosity (it can be positive or negative) reveals significant dependence on the flow vorticity, i.e., ferrofluids exhibit non-Newtonian behavior. This is manifested in an alteration of the velocity profile-it ceases to be parabolic-and deviation of the flow rate from the value prescribed by Poiseuille's formula. The presented model based on the conventional ferrohydrodynamic equations and an assumption of the ferrofluid structure fits well experimental data recently obtained by Schumacher, Sellien, Konke, Cader, and Finlayson ["Experiment and simulation of laminar and turbulent ferrofluid pipe flow in an oscillating magnetic field," Phys. Rev. E 67, 026308 (2003)].

Original language	English
Article number	033105
Pages (from-to)	033105-1-033105-8
Journal	Physics of Fluids
Volume	17
Issue number	3
DOIs	https://doi.org/10.1063/1.1863320
State	Published - 1 Jan 2005

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.1863320

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title = "Ferrofluid pipe flow in an oscillating magnetic field",

abstract = "Ferrofluid pipe flow in an oscillating magnetic field along the pipe axis is studied theoretically in a wide range of the flow rate. The field-dependent part of viscosity (it can be positive or negative) reveals significant dependence on the flow vorticity, i.e., ferrofluids exhibit non-Newtonian behavior. This is manifested in an alteration of the velocity profile-it ceases to be parabolic-and deviation of the flow rate from the value prescribed by Poiseuille's formula. The presented model based on the conventional ferrohydrodynamic equations and an assumption of the ferrofluid structure fits well experimental data recently obtained by Schumacher, Sellien, Konke, Cader, and Finlayson [{"}Experiment and simulation of laminar and turbulent ferrofluid pipe flow in an oscillating magnetic field,{"} Phys. Rev. E 67, 026308 (2003)].",

author = "Krekhov, \{Alexei P.\} and Shliomis, \{Mark I.\} and Shinichi Kamiyama",

note = "Funding Information: A.P.K. and M.I.S. thank the hospitality of the University of Bayreuth and acknowledge the financial support of INTAS (Grant No. 03-51-6064). The work of M.I.S. was also supported by the Israeli Science Foundation (Grant No. 272∕03) and the Meitner–Humboldt research award of the Alexander von Humboldt Foundation.",

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AU - Krekhov, Alexei P.

AU - Shliomis, Mark I.

AU - Kamiyama, Shinichi

N1 - Funding Information: A.P.K. and M.I.S. thank the hospitality of the University of Bayreuth and acknowledge the financial support of INTAS (Grant No. 03-51-6064). The work of M.I.S. was also supported by the Israeli Science Foundation (Grant No. 272∕03) and the Meitner–Humboldt research award of the Alexander von Humboldt Foundation.

PY - 2005/1/1

Y1 - 2005/1/1

N2 - Ferrofluid pipe flow in an oscillating magnetic field along the pipe axis is studied theoretically in a wide range of the flow rate. The field-dependent part of viscosity (it can be positive or negative) reveals significant dependence on the flow vorticity, i.e., ferrofluids exhibit non-Newtonian behavior. This is manifested in an alteration of the velocity profile-it ceases to be parabolic-and deviation of the flow rate from the value prescribed by Poiseuille's formula. The presented model based on the conventional ferrohydrodynamic equations and an assumption of the ferrofluid structure fits well experimental data recently obtained by Schumacher, Sellien, Konke, Cader, and Finlayson ["Experiment and simulation of laminar and turbulent ferrofluid pipe flow in an oscillating magnetic field," Phys. Rev. E 67, 026308 (2003)].

AB - Ferrofluid pipe flow in an oscillating magnetic field along the pipe axis is studied theoretically in a wide range of the flow rate. The field-dependent part of viscosity (it can be positive or negative) reveals significant dependence on the flow vorticity, i.e., ferrofluids exhibit non-Newtonian behavior. This is manifested in an alteration of the velocity profile-it ceases to be parabolic-and deviation of the flow rate from the value prescribed by Poiseuille's formula. The presented model based on the conventional ferrohydrodynamic equations and an assumption of the ferrofluid structure fits well experimental data recently obtained by Schumacher, Sellien, Konke, Cader, and Finlayson ["Experiment and simulation of laminar and turbulent ferrofluid pipe flow in an oscillating magnetic field," Phys. Rev. E 67, 026308 (2003)].

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Ferrofluid pipe flow in an oscillating magnetic field

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