Numerical Investigation of Ferrofluid Sloshing by Applying MHD Magnetic Field: Using Level Set Method
DOI:
https://doi.org/10.13052/ejcm1958-5829.2844Keywords:
Sloshing, Ferrofluid, MHD, pressure, Level set method.Abstract
The sloshing phenomenon has exceptional significance due to its occurrence in various processes as well as its application. This phenomenon occurs when a vessel is partly filled with a fluid and under the influence of external forces the free surface of the liquid moves and exchanges forces with the wall of the vessel. In this research, numerical modeling is used to study the behavior of ferrofluid in sloshing phenomenon in a rectangular container with a specified length and width of 10 cm × 5 cm respectively. The force that moves the vessel is the oscillatory motion in the x-axis direction. Applying a uniform magnetic force, which creates additional modules in the governing equations, such as the momentum equation, has effects on this phenomenon and fluid motion. The main aim of this research is to study the effects of the uniform MHD field in different directions and angles on the ferrofluid sloshing. By studying the results of some factors (such as; the pressure of the ferrofluid to the specific points on the vessel wall, the maximum surface at any time, and the analysis of the surface situation at different times) the impact of the magnetic field with different angles has been identified on the ferrofluid sloshing. The results showed that in the absence of an external magnetic field, the sloshing behavior of water and ferrofluid were approximately the same. Applying the MHDmagnetic field caused a 14.5%, 25% and 36% decrease in the maximum height of the fluid level at angles 0◦, 45◦ and 90◦ of magnetic field respectively. Therefore, these results indicate the influence of the magnetic field direction on the behavior of the ferrofluid sloshing.
Downloads
References
G. N. Mikishev and B. I. Rabinovich, “Dynamics of solid body with
caverns partly filled with fluid (in Russian). Mashinostroenie, Moscow,”
E. O˜nate, S. R. Idelsohn, and R. Aubry, “Possibilities of the particle
finite element method for fluid-structure interaction problems
with free surface waves Possibilities of the particle finite element
method for fluid-structure interaction problems with free surface
waves,” Rev. Eur. des ´ El´ements, no. October 2014, pp. 37–41, 2012.
http://dx.doi.org/10.3166/reef.13.637-666
V. Singal, J. Bajaj, N. Awalgaonkar, and S. Tibdewal, “CFD analysis of
a kerosene fuel tank to reduce liquid sloshing,” Procedia Eng., vol. 69,
pp. 1365–1371, 2014. https://doi.org/10.1016/j.proeng.2014.03.130
S. Ali, M. A. Kamran, and S. Khan, “Effect of baffle size and orientation
on lateral sloshing of partially filled containers: a numerical
study,” Eur. J. Comput. Mech., vol. 7179, no. October, pp. 1–25, 2017.
http://dx.doi.org/10.1080/17797179.2017.1386023
D. Takabatake, S. Sawada, N. Yoneyama, and M. Miura, “Sloshing
Reduction Effect Of Splitting Wall In Cylindrical Tank,” 14th World
Conf. Earthq. Eng., 2008.
R. A. Uras, “Sloshing analysis of viscous liquidstorage tanks,” Fluid-
Sloshing Fluid-Structure Interact.ASMEPress.Vessel. Pip. Conf, pp. 63–
, 1995. https://www.osti.gov/biblio/79730
D. Lu, X. Zeng, J. Dang, and Y. Liu, “A calculation method for the
sloshing impact pressure imposed on the roof of a passive water storage
tank of AP1000,” Sci. Technol. Nucl. Install., vol. 2016, 2016.
http://dx.doi.org/10.1155/2016/1613989
T. Sawada, Y. Ohira, and H. Houda, “Sloshing motion of a magnetic
fluid in a cylindrical container due to horizontal oscillation,”
Energy Convers. Manag., vol. 43, no. 3, pp. 299–308, 2002.
https://doi.org/10.1016/S0196-8904(01)00103-0
A. Bibo, R. Masana, A. King, G. Li, and M. F. Daqaq, “Electromagnetic
ferrofluid-based energy harvester,” Phys. Lett. Sect. A Gen.
At. Solid State Phys., vol. 376, no. 32, pp. 2163–2166, 2012.
https://doi.org/10.1016/j.physleta.2012.05.033
S. Alazmi,Y. Xu, and M. F. Daqaq, “Harvesting energy from the sloshing
motion of ferrofluids in an externally excited container: Analytical
modeling and experimental validation,” Phys. Fluids, vol. 28, no. 7, 2016.
https://doi.org/10.1063/1.4954787
Q. Liu, S. F. Alazemi, M. F. Daqaq, and G. Li, “A ferrofluid based
energy harvester: Computational modeling, analysis, and experimental
validation,” J. Magn. Magn. Mater., vol. 449, pp. 105–118, 2018.
https://doi.org/10.1016/j.jmmm.2017.09.064
M. Hatami, K. Hosseinzadeh, G. Domairry, and M. T. Behnamfar,
“Numerical study of MHD two-phase Couette flow analysis for fluidparticle
suspension between moving parallel plates,” J. Taiwan Inst.
Chem. Eng., 2014. https://doi.org/10.1016/j.jtice.2014.05.018
K. Hosseinzadeh,A.Asadi,A. R. Mogharrebi, J. Khalesi, S. Mousavisani,
and D. D. Ganji, “Entropy generation analysis of (CH2OH)2 containing
CNTs nano fluid flow under effect of MHD and thermal radiation,”
vol. 14, no. May, 2019. https://doi.org/10.1016/j.csite.2019.100482
S. S. Ghadikolaei, K. Hosseinzadeh, and D. D. Ganji, “Numerical
study on magnetohydrodynic CNTs-water nanofluids as a
micropolar dusty fluid influenced by non-linear thermal radiation
and joule heating effect,” Powder Technol., pp. 389–399, 2018.
https://doi.org/10.1016/j.powtec.2018.09.023
M. R. Zangooee, K. Hosseinzadeh, and D. D. Ganji, “Hydrothermal
analysis of MHD nano fluid (TiO2-GO) flow between two radiative
stretchable rotating disks usingAGM,” Case Study Therm. Eng., vol. 14,
no. May, p. 100460, 2019. https://doi.org/10.1016/j.csite.2019.100460
S. S. Ghadikolaei, K. Hosseinzadeh, M. Hatami, and D. D. Ganji, “MHD
boundary layer analysis for micropolar dusty fluid containing Hybrid
nanoparticles (Cu-Al2O3) over a porous medium,” J. Mol. Liq., pp. 813–
, 2018. https://doi.org/10.1016/j.molliq.2018.07.105
K. Hosseinzadeh, A. J. Amiri, S. S. Ardahaie, and D. D. Ganji, “Effect
of variable lorentz forces on nanofluid flow in movable parallel plates
utilizing analytical method,” vol. 10, no. March, pp. 595–610, 2017.
https://doi.org/10.1016/j.csite.2017.11.001
H.Aminfar, M. Mohammadpourfard, and R. Maroofiazar, “Experimental
study on the effect of magnetic field on critical heat flux of ferrofluid flow
boiling in a vertical annulus,” Exp. Therm. Fluid Sci., vol. 58, pp. 156–
, 2014. https://doi.org/10.1016/j.expthermflusci.2014.06.023
M. Gholinia, S. Gholinia, K. Hosseinzadeh, and D. D. Ganji, “Investigation
on ethylene glycol Nano fluid flow over a vertical permeable circular
cylinder under effect of magnetic field,” vol. 9, no. May, pp. 1525–1533,
https://doi.org/10.1016/j.rinp.2018.04.070
S. S. Ghadikolaei, K. Hosseinzadeh, M. Hatami, D. D. Ganji, and
M.Armin, “Investigation for squeezingflowof ethylene glycol (C2H6O2)
carbon nanotubes (CNTs) in rotating stretching channel with nonlinear
thermal radiation,” J. Mol. Liq., no. 2017, pp. 10–21, 2018.
https://doi.org/10.1016/j.molliq.2018.04.141
S. S. Ghadikolaei, K. Hosseinzadeh, and D. D. Ganji, “Investigation
on ethylene glycol-water mixture fluid suspend by hybrid
nanoparticles (TiO2-CuO) over rotating cone with considering
nanoparticles shape factor,” J. Mol. Liq., pp. 226–236, 2018.
https://doi.org/10.1016/j.molliq.2018.09.084
E. Castillo, J. Baiges, and R. Codina, “Approximation of the
two-fluid flow problem for viscoelastic fluids using the level
set method and pressure enriched finite element shape functions,”
J. Nonnewton. Fluid Mech., vol. 225, pp. 37–53, 2015.
https://doi.org/10.1016/j.jnnfm.2015.09.004
D. H. Kang and Y. B. Lee, “Summary report of sloshing model test for
rectangular model,” Daewoo Shipbuild. Mar. Eng. Co., Ltd.
J. Zhang, W. Wu, and J. Hu, “A numerical study of the effects
of the longitudinal baffle on nickel ore slurry sloshing in a prismatic
cargo hold,” Mar. Struct., vol. 46, pp. 149–166, 2016.
https://doi.org/10.1016/j.marstruc.2016.01.003
P. J. Oliveira, F. T. Pinho, and G. A. Pinto, “Numerical simulation
of non-linear elastic flows with a general collocated finite-volume
method,” J. Nonnewton. Fluid Mech., vol. 79, no. 1, pp. 1–43, 1998.
https://doi.org/10.1016/S0377-0257(98)00082-2
M. Sheikholeslami, K. Vajravelu, and M. Mehdi, “Forced convection
heat transfer in a semi annulus under the influence of a variable
magnetic field,” HEAT MASS Transf., vol. 92, pp. 339–348, 2016.
https://doi.org/10.1016/j.ijheatmasstransfer.2015.08.066
M. Sheikholeslami and M. M. Rashidi, “Ferrofluid heat transfer treatment
in the presence of variable magnetic field,” The European Physical
Journal Plus 2015. https://doi.org/10.1140/epjp/i
M. Sheikholeslami et al., “Effect of a Magnetic Field on Mixed Convection
of a Nanofluid in a Square Cavity,” vol. 18, no. 3, pp. 321–325,
https://doi.org/10.4283/JMAG.2013.18.3.321
D. D. Ganji. M. Sheikholeslami, M. M. Rashidi, “Effect of nonuniform
magnetic field on forced convection heat transfer of
Fe3O4-water nanofluid,” Comput. Methods Appl. Mech. Eng., 2015.
https://doi.org/10.1016/j.cma.2015.06.010
M. Sussman, P. Smereka, and S. Osher, “A Level Set Approach for Computing
Solutions to Incompressible Two-Phase Flow,” J. Comput. Phys.,
vol. 114, no. 1, pp. 146–159, 1994. https://doi.org/10.1006/jcph.1994.
S. Osher and J.A. Sethian, “Fronts propagating with curvature-dependent
speed: Algorithms based on Hamilton-Jacobi formulations,” J. Comput.
Phys., vol. 79, no. 1, pp. 12–49, 1988. https://doi.org/10.1016/0021-
(88)90002-2
Y. Lin, L. Zheng, and X. Zhang, “Radiation effects on Marangoni convection
flow and heat transfer in pseudo-plastic non-Newtonian nanofluids
with variable thermal conductivity,” Int. J. Heat Mass Transf., vol. 77,
pp. 708–716, 2014. https://doi.org/10.1016/j.ijheatmasstransfer.2014.
028
