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Motion of Miscible Magnetic Fluids in a Vertical Capillary Tube

Published online by Cambridge University Press:  05 May 2011

C.-Y. Chen ,
H.-C. Lin ,
W.-K. Tsai  and
C.-H. Lin
C.-Y. Chen*
Affiliation:
Department of Mechanical Engineering, National Chiao Tung University, Hsinchu, Taiwan 30010, R.O.C.
H.-C. Lin*
Affiliation:
Department of Mechanical Engineering, National Yunlin University of Science and Technology, Yunlin, Taiwan 64002, R.O.C.
W.-K. Tsai*
Affiliation:
Department of Mechanical Engineering, National Yunlin University of Science and Technology, Yunlin, Taiwan 64002, R.O.C.
C.-H. Lin*
Affiliation:
Department of Fashion Design and Management, Tainan University of Technology, Tainan, Taiwan 71002, R.O.C.
*
* Professor, corresponding author
** Graduate student
** Graduate student
*** Lecturer
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Abstract

An experimental study of miscible magnetic fluid motion in a vertical capillary tube is presented. Transporting ferrofluids is dominated by a dimensionless magnetic number Ma, which characterizes the ratio of upward magnetic force to the downward gravity. Two distinct stages of motion, referred to as the sub-critical mode of finite lift and the effective transportation, are identified. These two modes are determined by the values of the sub-critical magnetic number Masub and critical magnetic number Macr respectively. For the cases of sub-critical mode (Masub < Ma < Macr), the ferrofluids are lifted to quasiequilibrium heights, which are nearly proportional to the magnetic number Ma. As for the situations of effective transportation (Ma > Macr), a penetrating finger of ferrofluids is formed similar to the conventional miscible displacements. A dimensionless proportionality of fingertip velocity ν, magnetic number Ma and field distribution profile fz is obtained as ν ∼ Ma1/2fz by scaling arguments. This proportional correlation shows a good agreement with the experiments.

Keywords

Miscible ferrofluidCapillary tube
Type
Articles
Information
Journal of Mechanics , Volume 24 , Issue 4 , December 2008 , pp. 311 - 317
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2008

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