NOTE ON THE ANALYTICAL TREATMENT IN FERROHYDRODYNAMICS.

Takahiko Tanahashi; Tatsuo Sawada; Tsuneyo Ando; Motoichi Iga; Hiroyuki Torii

doi:10.1299/jsme1958.26.1509

NOTE ON THE ANALYTICAL TREATMENT IN FERROHYDRODYNAMICS.

Takahiko Tanahashi, Tatsuo Sawada, Tsuneyo Ando, Motoichi Iga, Hiroyuki Torii

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

7 Citations (Scopus)

Abstract

A new complete set of basic equations for magnetic suspensions is derived on the theory of micropolar fluids developed by Eringen and a solution to these basic equations is obtained analytically for a steady motion of magnetic suspensions in a circular pipe which is placed in a homogeneous magnetic field parallel to the flow direction. A phenomenological treatment is given for the specification of material constants of a micropolar fluid, which are vortex viscosity and spin viscosity. In order to clarify the dynamical flow characteristics in the presence of a magnetic field, six dimensionless parameters to show the magnetic effect, polar effect, wall surface effect and so on are introduced into the solution for the rotational Peclet number.

Original language	English
Pages (from-to)	1509-1517
Number of pages	9
Journal	Bulletin of the JSME
Volume	26
Issue number	219
DOIs	https://doi.org/10.1299/jsme1958.26.1509
Publication status	Published - 1983
Externally published	Yes

ASJC Scopus subject areas

Engineering(all)

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abstract = "A new complete set of basic equations for magnetic suspensions is derived on the theory of micropolar fluids developed by Eringen and a solution to these basic equations is obtained analytically for a steady motion of magnetic suspensions in a circular pipe which is placed in a homogeneous magnetic field parallel to the flow direction. A phenomenological treatment is given for the specification of material constants of a micropolar fluid, which are vortex viscosity and spin viscosity. In order to clarify the dynamical flow characteristics in the presence of a magnetic field, six dimensionless parameters to show the magnetic effect, polar effect, wall surface effect and so on are introduced into the solution for the rotational Peclet number.",

author = "Takahiko Tanahashi and Tatsuo Sawada and Tsuneyo Ando and Motoichi Iga and Hiroyuki Torii",

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AU - Tanahashi, Takahiko

AU - Sawada, Tatsuo

AU - Ando, Tsuneyo

AU - Iga, Motoichi

AU - Torii, Hiroyuki

PY - 1983

Y1 - 1983

N2 - A new complete set of basic equations for magnetic suspensions is derived on the theory of micropolar fluids developed by Eringen and a solution to these basic equations is obtained analytically for a steady motion of magnetic suspensions in a circular pipe which is placed in a homogeneous magnetic field parallel to the flow direction. A phenomenological treatment is given for the specification of material constants of a micropolar fluid, which are vortex viscosity and spin viscosity. In order to clarify the dynamical flow characteristics in the presence of a magnetic field, six dimensionless parameters to show the magnetic effect, polar effect, wall surface effect and so on are introduced into the solution for the rotational Peclet number.

AB - A new complete set of basic equations for magnetic suspensions is derived on the theory of micropolar fluids developed by Eringen and a solution to these basic equations is obtained analytically for a steady motion of magnetic suspensions in a circular pipe which is placed in a homogeneous magnetic field parallel to the flow direction. A phenomenological treatment is given for the specification of material constants of a micropolar fluid, which are vortex viscosity and spin viscosity. In order to clarify the dynamical flow characteristics in the presence of a magnetic field, six dimensionless parameters to show the magnetic effect, polar effect, wall surface effect and so on are introduced into the solution for the rotational Peclet number.

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JO - Bulletin of the JSME

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NOTE ON THE ANALYTICAL TREATMENT IN FERROHYDRODYNAMICS.

Abstract

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