430
S. Banerjee and R. Ganguly
Mn K ≈ 10.21, Sn L ≈ 0.01. For relatively weak magnetic field strengths, this
splitting-up leads to the formation of other smaller vortices. The number of secondary
vortices increases with rising values of magnetic field strength. For relatively strong
magnetic fields, the increased number of vortices results in the reduction of flowfield velocities in close vicinity of the bottom plate. The application of the applied
(magnetic) field gradient sets up strong circulation near the bottom plate, as evidenced
by the two secondary, counter-rotating vortices. The primary vortex is largely influenced by the flow disturbance induced by the sliding top plate of the cavity, and to a
lesser extent by the presence of the magnetic dipole.
References
Banerjee S, Mukhopadhyay A, Sen S et al (2008) Optimizing thermomagnetic convection for
electronics cooling. Numer Heat Transfer Part A 53:1231–1255
Bashtovoy VG, Berkovsky BM, Vislovich AN (1988) Introduction to thermomechanics of magnetic
fluids. Springer, Berlin
Carlton JMR, Yowell CA, Sturrock KA et al (2001) Bio-magnetic separation of contaminating host
leukocytes from Plasmodium-infected erythrocytes. Exp Parasitol 97:111–114
Davidson PA (2001) An introduction to magnetohydrodynamics. Cambridge University Press,
Cambridge
Farahbakhsh I, Ghassemi H (2010) Numerical investigation of the Lorentz force effect on the vortex
transfiguration in a two-dimensional lid-driven cavity. Proc Inst Mech Eng Part C 224:1217–1230
Fuh CB, Lin LY, Lai MH (2000) Analytical magnetophoresis of magnetically susceptible particles.
J Chromatogr A 874:131–142
Haik Y, Pai V, Chen CJ (1999) Development of magnetic device for cell separation. J Magn Magn
Mater 194:254–261
Higashi T, Yamagishi A, Takeuchi T et al (1993) Orientation of erythrocytes in a strong static
magnetic field. J Blood 82:1328–1334
Jaspard F, Nadi M (2002) Dielectric properties of blood: an investigation of temperature dependence.
Physiol Meas 23:547–554
Kalion VA, Kazachkov IV, Shmakov YI (2004) Rheology of complex fluids. Div. Heat Power Tech.,
KTH Press, Stockholm, Sweden
Li XL, Yao KL, Liu ZL (2008) CFD study on the magnetic fluid delivering in the vessel in highgradient magnetic field. J Magn Magn Mater 320:1753–1758
Patankar SV (1980) Numerical heat transfer and fluid flow. McGraw-Hill, New York
Plavins J, Lauva M (1993) Study of colloidal magnetite binding erythrocytes: prospects for cell
separation. J Magn Magn Mater 122:349–353
Rosensweig RE (1985) Ferrohydrodynamics. Cambridge University Press, Cambridge
Tzirtzilakis EE (2005) A mathematical model for blood flow in magnetic field. Phys Fluids
17(077103):1–15
Tzirtzilakis EE, Xenos MA (2012) Biomagnetic fluid flow in a driven cavity. Meccanica 48:187–200
Voltairas PA, Fotiadis DI, Michalis LK (2000) Hydrodynamics of magnetic drug targeting. J
Biomech 35:813–821
S. Banerjee and R. Ganguly
Mn K ≈ 10.21, Sn L ≈ 0.01. For relatively weak magnetic field strengths, this
splitting-up leads to the formation of other smaller vortices. The number of secondary
vortices increases with rising values of magnetic field strength. For relatively strong
magnetic fields, the increased number of vortices results in the reduction of flowfield velocities in close vicinity of the bottom plate. The application of the applied
(magnetic) field gradient sets up strong circulation near the bottom plate, as evidenced
by the two secondary, counter-rotating vortices. The primary vortex is largely influenced by the flow disturbance induced by the sliding top plate of the cavity, and to a
lesser extent by the presence of the magnetic dipole.
References
Banerjee S, Mukhopadhyay A, Sen S et al (2008) Optimizing thermomagnetic convection for
electronics cooling. Numer Heat Transfer Part A 53:1231–1255
Bashtovoy VG, Berkovsky BM, Vislovich AN (1988) Introduction to thermomechanics of magnetic
fluids. Springer, Berlin
Carlton JMR, Yowell CA, Sturrock KA et al (2001) Bio-magnetic separation of contaminating host
leukocytes from Plasmodium-infected erythrocytes. Exp Parasitol 97:111–114
Davidson PA (2001) An introduction to magnetohydrodynamics. Cambridge University Press,
Cambridge
Farahbakhsh I, Ghassemi H (2010) Numerical investigation of the Lorentz force effect on the vortex
transfiguration in a two-dimensional lid-driven cavity. Proc Inst Mech Eng Part C 224:1217–1230
Fuh CB, Lin LY, Lai MH (2000) Analytical magnetophoresis of magnetically susceptible particles.
J Chromatogr A 874:131–142
Haik Y, Pai V, Chen CJ (1999) Development of magnetic device for cell separation. J Magn Magn
Mater 194:254–261
Higashi T, Yamagishi A, Takeuchi T et al (1993) Orientation of erythrocytes in a strong static
magnetic field. J Blood 82:1328–1334
Jaspard F, Nadi M (2002) Dielectric properties of blood: an investigation of temperature dependence.
Physiol Meas 23:547–554
Kalion VA, Kazachkov IV, Shmakov YI (2004) Rheology of complex fluids. Div. Heat Power Tech.,
KTH Press, Stockholm, Sweden
Li XL, Yao KL, Liu ZL (2008) CFD study on the magnetic fluid delivering in the vessel in highgradient magnetic field. J Magn Magn Mater 320:1753–1758
Patankar SV (1980) Numerical heat transfer and fluid flow. McGraw-Hill, New York
Plavins J, Lauva M (1993) Study of colloidal magnetite binding erythrocytes: prospects for cell
separation. J Magn Magn Mater 122:349–353
Rosensweig RE (1985) Ferrohydrodynamics. Cambridge University Press, Cambridge
Tzirtzilakis EE (2005) A mathematical model for blood flow in magnetic field. Phys Fluids
17(077103):1–15
Tzirtzilakis EE, Xenos MA (2012) Biomagnetic fluid flow in a driven cavity. Meccanica 48:187–200
Voltairas PA, Fotiadis DI, Michalis LK (2000) Hydrodynamics of magnetic drug targeting. J
Biomech 35:813–821