### Abstract

In the present paper, the flow in a square cavity, filled with a magnetic fluid, to which a magnetic field is applied parallel to the moving wall, is numerically analyzed by the finite element method on the basis of governing equations for magnetic fluids with internal rotation. The effects of a magnetic field and some dimensionless parameters characterizing magnetic fluid flow are discussed in detail. The results obtained here are: (1) The GSMAC method has been developed for magnetic fluid algorithm in a homogeneous magnetic field. (2) The flow remarkably expresses a non-Newtonian property due to the micropolar effect when the magnetic field is not applied. (3) When a moderate magnetic field is applied, the flow of the magnetic fluid is similar to that of a Newtonian fluid.

Original language | English |
---|---|

Pages (from-to) | 2414-2422 |

Number of pages | 9 |

Journal | Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B |

Volume | 53 |

Issue number | 492 |

Publication status | Published - 1987 Aug |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mechanical Engineering

### Cite this

*Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B*,

*53*(492), 2414-2422.

**NUMERICAL ANALYSIS OF MAGNETIC FLUID FLOW IN A SQUARE CAVITY (GSMAC FINITE ELEMENT METHOD OF MAGNETIC FLUID).** / Okanaga, Hiroo; Shizawa, Kazuyuki; Yashima, Noboru; Tanahashi, Takahiko.

Research output: Contribution to journal › Article

*Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B*, vol. 53, no. 492, pp. 2414-2422.

}

TY - JOUR

T1 - NUMERICAL ANALYSIS OF MAGNETIC FLUID FLOW IN A SQUARE CAVITY (GSMAC FINITE ELEMENT METHOD OF MAGNETIC FLUID).

AU - Okanaga, Hiroo

AU - Shizawa, Kazuyuki

AU - Yashima, Noboru

AU - Tanahashi, Takahiko

PY - 1987/8

Y1 - 1987/8

N2 - In the present paper, the flow in a square cavity, filled with a magnetic fluid, to which a magnetic field is applied parallel to the moving wall, is numerically analyzed by the finite element method on the basis of governing equations for magnetic fluids with internal rotation. The effects of a magnetic field and some dimensionless parameters characterizing magnetic fluid flow are discussed in detail. The results obtained here are: (1) The GSMAC method has been developed for magnetic fluid algorithm in a homogeneous magnetic field. (2) The flow remarkably expresses a non-Newtonian property due to the micropolar effect when the magnetic field is not applied. (3) When a moderate magnetic field is applied, the flow of the magnetic fluid is similar to that of a Newtonian fluid.

AB - In the present paper, the flow in a square cavity, filled with a magnetic fluid, to which a magnetic field is applied parallel to the moving wall, is numerically analyzed by the finite element method on the basis of governing equations for magnetic fluids with internal rotation. The effects of a magnetic field and some dimensionless parameters characterizing magnetic fluid flow are discussed in detail. The results obtained here are: (1) The GSMAC method has been developed for magnetic fluid algorithm in a homogeneous magnetic field. (2) The flow remarkably expresses a non-Newtonian property due to the micropolar effect when the magnetic field is not applied. (3) When a moderate magnetic field is applied, the flow of the magnetic fluid is similar to that of a Newtonian fluid.

UR - http://www.scopus.com/inward/record.url?scp=0023397985&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023397985&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0023397985

VL - 53

SP - 2414

EP - 2422

JO - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

JF - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

SN - 0387-5016

IS - 492

ER -