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Research Papers: Thermal Systems

Derivation for Electric Current Regulation Equation of a Gradient Magnetic Field to Control Suspending Magnetic Particles Inside Dialysate Solution

[+] Author and Article Information
Junfeng Lu

Key Laboratory of Cryogenics,
Technical Institute of Physics and Chemistry,
Chinese Academy of Sciences,
29 Zhongguancun East Road,
Haidian District,
Beijing 100190, China
e-mail: junfenglu@mail.ipc.ac.cn

Wen-Qiang Lu

School of Engineering Sciences,
University of Chinese Academy of Sciences,
Beijing 100049, China
e-mail: luwq@ucas.ac.cn

1Corresponding author.

Presented at the 5th ASME 2016 Micro/Nanoscale Heat & Mass Transfer International Conference. Paper No. MNHMT2016-6331.Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 21, 2016; final manuscript received February 6, 2017; published online August 16, 2017. Assoc. Editor: Chun Yang.

J. Heat Transfer 140(1), 012801 (Aug 16, 2017) (4 pages) Paper No: HT-16-1288; doi: 10.1115/1.4037337 History: Received May 21, 2016; Revised February 06, 2017

To design a better adsorption performance in a novel magnetic adsorption device used for hemodialysis (HD), the mechanical properties of magnetic absorbents trapped inside a two-phase system are studied in this paper. A gradient magnetic coil field is assumed to produce the magnetic driving force that balances other hydraulic forces for the adsorbents. For this field, a related winding equation for the solenoid coil is obtained in our previous work; and a complement practical form of the winding equation is derived in this paper. Case studies are also described in this paper to explore the design aspects of the field.

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References

Larcan, A. , 2012, “ History of Acute Kidney Injury, the Early Development of Hemodialysis in France,” Nephrol. Ther., 8(4), pp. 240–245. [CrossRef] [PubMed]
Himmelfarb, J. , and Alp Ikizler, T. , 2010, “ Hemodialysis,” N. Engl. J. Med., 363(19), pp. 1833–1845. [CrossRef] [PubMed]
Jacobs, C. , 2009, “ Renal Replacement Therapy by Hemodialysis: An Overview,” Nephrol. Ther., 5(4), pp. 306–312. [CrossRef] [PubMed]
Liao, Z. J. , Klein, E. , Poh, C. K. , Huang, Z. P. , Lu, J. F. , Hardy, P. A. , Clark, W. R. , and Gao, D. Y. , 2005, “ Measurement of Hollow Fiber Membrane Transport Properties in Hemodialyzers,” J. Membr. Sci., 256(1–2), pp. 176–183.
Huang, Z. P. , Gao, D. Y. , and Letteri, J. J. , 2009, “ Blood-Membrane Interactions During Dialysis,” Sem. Dial., 22(6), pp. 623–628. [CrossRef]
Poh, C. K. , Lu, J. F. , Clark, W. R. , and Gao, D. Y. , 2008, “ Kidney, Artificial,” Encyclopedia of Biomaterials and Biomedical Engineering, G. E. Wnek and G. L. Bowlin , eds., CRC Press, Boca Raton, FL, pp. 1576–1596. [CrossRef]
Lu, J. F. , and Lu, W. Q. , 2010, “ Blood Flow Velocity and Ultra-Filtration Velocity Measured by CT Imaging System Inside a Densely Bundled Hollow Fiber Dialyzer,” Int. J. Heat Mass Transfer, 53(9–10), pp. 1844–1850. [CrossRef]
Lu, J. F. , and Lu, W. Q. , 2010, “ A Numerical Simulation for Mass Transfer Through the Porous Membrane of Parallel Straight Channels,” Int. J. Heat Mass Transfer, 53(11–12), pp. 2404–2413. [CrossRef]
Lu, J. F. , and Lu, W. Q. , 2008, “ An Approximate Analytic Solution for Ultra-Filtration Profile in a Hemodialysis Process Between Parallel Porous Plates,” Chin. Sci. Bull., 53, pp. 3402–3408. [CrossRef]
Li, L. , Tao, X. Z. , Yang, G. M. , and Zhang, P. , 2000, “ Amino-Acid Concentration Variations After Hemodialysis,” Med. J. Natl. Defending Forces North China, 12(1), pp. 52–53.
Lu, J. F. , Zhang, H. , and Lu, W. Q. , 2014, “ A Computational Design of a Magnetic Field Applied to Control Magnetic Adsorbent Used in Liquid/Gas Adsorption Processes,” Int. Commun. Heat Mass Transfer, 53, pp. 18–25. [CrossRef]
Fox, R. W. , and McDonald, A. T. , 1992, Introduction to Fluid Mechanics, 4th ed., Wiley, New York, p. 337.
Lu, W. Q. , 2010, Lecture Notes for Two-Phase Thermal Physics, University of Chinese Academy of Sciences, Beijing, China.

Figures

Grahic Jump Location
Fig. 1

The diagram of “re-absorption” dialyzer

Grahic Jump Location
Fig. 2

A suspended magnetic particle under equilibrium condition

Grahic Jump Location
Fig. 3

z∝n0I curves under different mean flow velocities (u¯f) (n0=10 k and I:1⇒10 A)

Grahic Jump Location
Fig. 4

z∝n0I curves under different particle sizes (n0=10 k,I:1⇒10 A, and u¯f=100 ml/min)

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