### Abstract

Biomagnetic fluid dynamics is the study of the interaction of biological fluids such as blood with an applied steady magnetic field. Biomagnetic fluid dynamics differs from magneto-fluid dynamics in that it deals with virtually no electric current and the flow is mainly affected by the magnetization of the fluid in the magnetic field. Experimental results have shown that the human blood behaves as a diamagnetic material when oxygenated and as a paramagnetic material when deoxygenated. Due to its weak magnetic susceptibility, human blood is coupled with magnetic particles for applications such as cell separation and drug delivery. In this study, a mathematical model based on a modified Stokes' principle is presented. The mathematical model is then solved numerically using the finite analytic method. Numerical simulations of the behavior of biomagnetic fluid in a three-dimensional square duct are also presented.

Original language | English |
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Title of host publication | Proceedings of the 1999 3rd ASME/JSME Joint Fluids Engineering Conference, FEDSM'99, San Francisco, California, USA, 18-23 July 1999 (CD-ROM) |

Publisher | American Society of Mechanical Engineers |

Pages | 1 |

Number of pages | 1 |

ISBN (Print) | 0791819612 |

Publication status | Published - 1999 |

Externally published | Yes |

### Fingerprint

### Keywords

- Biomagnetic
- Fluid
- Mathematical model
- Numerical
- Simulation

### ASJC Scopus subject areas

- Earth and Planetary Sciences(all)
- Engineering(all)
- Environmental Science(all)

### Cite this

*Proceedings of the 1999 3rd ASME/JSME Joint Fluids Engineering Conference, FEDSM'99, San Francisco, California, USA, 18-23 July 1999 (CD-ROM)*(pp. 1). American Society of Mechanical Engineers.

**Numerical simulations of biomagnetic fluid dynamics.** / Haik, Yousef; Chen, C. J.; Pai, V. M.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Proceedings of the 1999 3rd ASME/JSME Joint Fluids Engineering Conference, FEDSM'99, San Francisco, California, USA, 18-23 July 1999 (CD-ROM).*American Society of Mechanical Engineers, pp. 1.

}

TY - CHAP

T1 - Numerical simulations of biomagnetic fluid dynamics

AU - Haik, Yousef

AU - Chen, C. J.

AU - Pai, V. M.

PY - 1999

Y1 - 1999

N2 - Biomagnetic fluid dynamics is the study of the interaction of biological fluids such as blood with an applied steady magnetic field. Biomagnetic fluid dynamics differs from magneto-fluid dynamics in that it deals with virtually no electric current and the flow is mainly affected by the magnetization of the fluid in the magnetic field. Experimental results have shown that the human blood behaves as a diamagnetic material when oxygenated and as a paramagnetic material when deoxygenated. Due to its weak magnetic susceptibility, human blood is coupled with magnetic particles for applications such as cell separation and drug delivery. In this study, a mathematical model based on a modified Stokes' principle is presented. The mathematical model is then solved numerically using the finite analytic method. Numerical simulations of the behavior of biomagnetic fluid in a three-dimensional square duct are also presented.

AB - Biomagnetic fluid dynamics is the study of the interaction of biological fluids such as blood with an applied steady magnetic field. Biomagnetic fluid dynamics differs from magneto-fluid dynamics in that it deals with virtually no electric current and the flow is mainly affected by the magnetization of the fluid in the magnetic field. Experimental results have shown that the human blood behaves as a diamagnetic material when oxygenated and as a paramagnetic material when deoxygenated. Due to its weak magnetic susceptibility, human blood is coupled with magnetic particles for applications such as cell separation and drug delivery. In this study, a mathematical model based on a modified Stokes' principle is presented. The mathematical model is then solved numerically using the finite analytic method. Numerical simulations of the behavior of biomagnetic fluid in a three-dimensional square duct are also presented.

KW - Biomagnetic

KW - Fluid

KW - Mathematical model

KW - Numerical

KW - Simulation

UR - http://www.scopus.com/inward/record.url?scp=0033381858&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033381858&partnerID=8YFLogxK

M3 - Chapter

SN - 0791819612

SP - 1

BT - Proceedings of the 1999 3rd ASME/JSME Joint Fluids Engineering Conference, FEDSM'99, San Francisco, California, USA, 18-23 July 1999 (CD-ROM)

PB - American Society of Mechanical Engineers

ER -