scholarly journals Instability of a magnetic fluid drop in a capillary: a numerical study

2008 ◽  
Vol 44 (2) ◽  
pp. 183-190 ◽  
Author(s):  
O. Lavrova ◽  
V. Polevikov ◽  
L. Tobiska
Keyword(s):  
Magnetic Fluid ◽  
Numerical Study ◽  
Fluid Drop

A numerical study on the effect of static magnetic field on the hemodynamics of magnetic fluid in biological porous media

2020 ◽  
Vol 141 (5) ◽  
pp. 1543-1558
Author(s):  
Seyed Mahdi Hosseinikhah ◽  
Borhan Beigzadeh ◽  
Majid Siavashi ◽  
Mahdi Halabian
Keyword(s):  
Magnetic Field ◽  
Porous Media ◽  
Static Magnetic Field ◽  
Magnetic Fluid ◽  
Numerical Study

Labyrinthine and secondary wave instabilities of a miscible magnetic fluid drop in a Hele-Shaw cell

2017 ◽  
Vol 836 ◽  
pp. 374-396 ◽  
Author(s):  
Huanhao Li ◽  
Chun-Yi Kao ◽  
Chih-Yung Wen
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Flow Regime ◽  
Magnetic Fluid ◽  
Early Period ◽  
Secondary Wave ◽  
Initial Growth ◽  
Experimental Conditions ◽  
Fluid Drop ◽  
Hele Shaw Cell

A comprehensive experimental study is presented to analyse the instabilities of a magnetic fluid drop surrounded by miscible fluid confined in a Hele-Shaw cell. The experimental conditions include different magnetic fields (by varying the maximum pre-set magnetic field strengths,$H$, and sweep rates,$SR=\text{d}H_{t}/\text{d}t$, where$H_{t}$is the instant magnetic field strength), gap spans,$h$, and magnetic fluid samples, and are further coupled into a modified Péclect number$Pe^{\prime }$to evaluate the instabilities. Two distinct instabilities are induced by the external magnetic fields with different sweep rates: (i) a labyrinthine fingering instability, where small fingerings emerge around the initial circular interface in the early period, and (ii) secondary waves in the later period. Based on 81 sets of experimental conditions, the initial growth rate of the interfacial length,$\unicode[STIX]{x1D6FC}$, of the magnetic drop is found to increase linearly with$Pe^{\prime }$, indicating that$\unicode[STIX]{x1D6FC}$is proportional to the square root of the$SR$and$h^{3/2}$at the onset of the labyrinthine instability. In addition, secondary waves, which are characterised by the dimensionless wavelength$\unicode[STIX]{x1D6EC}=\unicode[STIX]{x1D706}/h$, can only be triggered when the three-dimensional magnetic microconvection is strong enough to make$Pe^{\prime }$exceed a critical value, i.e.$Pe^{\prime }>19\,000$, where$\unicode[STIX]{x1D706}$is the wavelength of the secondary wave. In this flow regime of high$Pe^{\prime }$, the length scale of the secondary wave instability is found to be$\unicode[STIX]{x1D6EC}=7\pm 1$, corresponding to the Stokes regime; meanwhile, in the flow regime of low$Pe^{\prime }$, the flow corresponds to the Hele-Shaw regime introduced by Fernandezet al.(J. Fluid Mech., vol. 451, 2002, pp. 239–260).

scholarly journals Impact between a magnetic fluid drop and a liquid free surface.

1991 ◽  
Vol 57 (536) ◽  
pp. 1277-1283 ◽  
Author(s):  
Seiichi SUDO ◽  
Hiroyuki HASHIMOTO ◽  
Kazunari KATAGIRI
Keyword(s):  
Free Surface ◽  
Magnetic Fluid ◽  
Liquid Free Surface ◽  
Fluid Drop

Influence of apex angles of limiting conic surfaces on the hysteresis of the shape of a magnetic fluid drop on a line conductor

2013 ◽  
Vol 49 (3-4) ◽  
pp. 350-354 ◽  
Author(s):  
A. S. Vinogradova ◽  
V. A. Naletova ◽  
V. A. Turkov ◽  
A. G. Reks
Keyword(s):  
Magnetic Fluid ◽  
Fluid Drop
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