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Technical Brief

Ferrohydrodynamic Capillary Convection

[+] Author and Article Information
Francisco J. Arias

Department of Fluid Mechanics,
University of Catalonia,
ESEIAAT C/Colom 11,
Barcelona 08222, Spain
e-mail: francisco.javier.arias@upc.edu

Salvador A. De Las Heras

Department of Fluid Mechanics,
University of Catalonia,
ESEIAAT C/Colom 11,
Barcelona 08222, Spain

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received March 4, 2018; final manuscript received September 19, 2018; published online December 5, 2018. Assoc. Editor: Mohamed S. El-Genk.

J. Thermal Sci. Eng. Appl 11(2), 024503 (Dec 05, 2018) (4 pages) Paper No: TSEA-18-1116; doi: 10.1115/1.4041636 History: Received March 04, 2018; Revised September 19, 2018

In this work, consideration is given to capillary convection on ferrofluids from the concentration gradient induced when a nonhomogeneous magnetic field is applied. It is known that mass transfer along an interface between two fluids can appear due to a gradient of the surface tension in the so-called Marangoni effect (or Gibbs–Marangoni effect). Because the surface tension is both thermal and concentration dependent, Marangoni convection can be induced by either a thermal or a concentration gradient, where in the former case, it is generally referred as thermocapillary convection. Now, it has been theoretically and experimentally demonstrated that a ferrofluid under the action of a non-homogeneous magnetic field can induce a concentration gradient of suspended magnetic nanoparticles, and also the effect of Fe3O4 nanoparticles on the surface tension has been measured. Therefore, by deductive reasoning and taking into account the above mentioned facts, it is permissible to infer ferrohydrodynamic capillary convection on magnetic fluids under the presence of a magnetic gradient field. Utilizing a simplified physical model, the phenomenon was investigated and it was found that ferrohydrodynamic-Marangoni convection could be induced with particle size in the range up to 10 nm, which is the range of magnetic fluids to escape magnetic agglomeration.

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References

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Figures

Grahic Jump Location
Fig. 1

Physical model of the considered problem

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Fig. 2

Plot of c(x) as a function of (x/l) and some diameters of the nanoparticles

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Fig. 3

Plot of (dσ/dx) as a function of the particle size for magnetic fluids with a container length l = 0.05 m a bulk concentration cb = 0.15 and for some typical values of the temperature

Grahic Jump Location
Fig. 4

Plot of (dσ/dx) as a function of the particle size for magnetic fluids with a container length l = 0.05 m a temperature T = 300 K and for some typical values of bulk concentration

Grahic Jump Location
Fig. 5

Plot of (dσ/dx) as a function of the difference of temperature for the thermocapillary analysis, and with a container length l = 0.05 m

Tables

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