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Technical Briefs

Hydrodynamic Modeling of Targeted Magnetic-Particle Delivery in a Blood Vessel

[+] Author and Article Information
Huei Chu Weng

Department of Mechanical Engineering,
Chung Yuan Christian University,
Chungli 32023, Taiwan, ROC
e-mail: hcweng@cycu.edu.tw

1Corresponding author.

Contributed by the Bioengineering Division of ASME for publication in the Journal of Biomechanical Engineering. Manuscript received September 16, 2012; final manuscript received November 26, 2012; accepted manuscript posted December 13, 2012; published online February 11, 2013. Assoc. Editor: Dalin Tang.

J Biomech Eng 135(3), 034504 (Feb 11, 2013) (5 pages) Paper No: BIO-12-1411; doi: 10.1115/1.4023137 History: Received September 16, 2012; Revised November 26, 2012; Accepted December 13, 2012

Since the flow of a magnetic fluid could easily be influenced by an external magnetic field, its hydrodynamic modeling promises to be useful for magnetically controllable delivery systems. It is desirable to understand the flow fields and characteristics before targeted magnetic particles arrive at their destination. In this study, we perform an analysis for the effects of particles and a magnetic field on biomedical magnetic fluid flow to study the targeted magnetic-particle delivery in a blood vessel. The fully developed solutions of velocity, flow rate, and flow drag are derived analytically and presented for blood with magnetite nanoparticles at body temperature. Results reveal that in the presence of magnetic nanoparticles, a minimum magnetic field gradient (yield gradient) is required to initiate the delivery. A magnetic driving force leads to the increase in velocity and has enhancing effects on flow rate and flow drag. Such a magnetic driving effect can be magnified by increasing the particle volume fraction.

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Figures

Grahic Jump Location
Fig. 1

Model geometry; he=(0,0,he(z))

Grahic Jump Location
Fig. 2

Velocity distribution for (a) different values of ϕ⌢ with ϕ=0.06 and (b) different values of ϕ with ϕ⌢=0.46; ΔH=0

Grahic Jump Location
Fig. 3

Velocity distribution for (a) different values of ϕ⌢ with ϕ=0.06 and (b) different values of ϕ with ϕ⌢=0.46; ΔH=10

Grahic Jump Location
Fig. 4

Volume flow rate versus ΔH for (a) different values of ϕ⌢ with ϕ=0.06 and (b) different values of ϕ with ϕ⌢=0.46

Grahic Jump Location
Fig. 5

Flow drag versus ΔH for different values of ϕ

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