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Effect of non-uniform magnetic field on mixing index of a sinusoidal micromixer

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Abstract

Magnetic fluid micromixers are widely used in medical diagnostic processes, food processing, and biochemical engineering. In the present study, a two-dimensional combined active/passive micromixer was designed and evaluated to perform experimental investigation for 0.1<Re<0.7. The microchannel walls are sinusoidal and a neodymium magnet is placed close to the microchannel. The results demonstrate that the magnetic field improves the mixing quality by 17.5%. It is concluded that the performance of the micromixer with sinusoidal walls is 1.16 times higher than one with a straight channel. The results show that as the volume fraction of magnetic nanoparticles is enhanced, the mixing index is intensified. For instance, the degree of mixing is increased by 24% when the volume fraction enhances from 0.015% to 0.06%. Besides, as the magnet is placed closer to the microchannel, the mixing index is enhanced. The maximum mixing index occurs when the magnet is 13.75 mm from the inlets.

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Abbreviations

a:

horizontal distance of magnets [m]

B:

magnetic flux density distribution [W/m2]

C:

concentration [mol/l]

d:

vertical distance of magnets [m]

dnp :

diameter of nanoparticle [m]

D:

diffusivity coefficient [m2/s]

Dh :

hydraulic diameter [m]

\({\overrightarrow {\rm{F}} _{ext}}\) :

external force [N/m3]

\({\overrightarrow {\rm{F}} _{mag,\,np}}\) :

magnetic force applied to the particle [N/m3]

h:

microchannel height [m]

H:

magnetic field distribution [A/m]

L:

microchannel length [m]

m:

moment on the particle

M:

magnetization

P:

pressure [Pa]

r:

radius [m]

Rnp :

the net rate of production of species

T:

temperature [K]

u:

velocity [m/s]

Uin :

inlet velocity [m/s]

Vp :

volume of the nanoparticle

x:

horizontal coordinate

y:

vertical coordinates

PDMS:

polydimethylsiloxane

η :

mixing efficiency [%]

φ :

volume fraction of nanoparticles

μ :

dynamic viscosity [Pa·s]

χ :

susceptibility

ρ :

density [kg/m3]

μ r :

relative permeability

μ 0 :

vacuum permeability

f:

fluid

g:

gravity

ff:

ferrofluid

nf:

nanofluid

p:

particle

m:

magnetic force

mag:

magnitude

st:

surface tension

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Authors and Affiliations

  1. Engineering Faculty, Shahrekord University, Shahrekord, Iran

    Dariush Bahrami, Afshin Ahmadi Nadooshan & Morteza Bayareh

Authors
  1. Dariush Bahrami
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  2. Afshin Ahmadi Nadooshan
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  3. Morteza Bayareh
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Correspondence to Afshin Ahmadi Nadooshan.

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Bahrami, D., Nadooshan, A.A. & Bayareh, M. Effect of non-uniform magnetic field on mixing index of a sinusoidal micromixer. Korean J. Chem. Eng. 39, 316–327 (2022). https://doi.org/10.1007/s11814-021-0932-z

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  • DOI: https://doi.org/10.1007/s11814-021-0932-z

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