Dynamic behavior of magnetic liquid drop on a solid base subject to magnetic field and vertical vibration

Sudo, Seiichi; Ohaba, Motoyoshi; Katagiri, Kazunari; Hashimoto, Hiroyuki

doi:10.1016/0304-8853(93)91084-k

Cited by 29 publications

(6 citation statements)

References 3 publications

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“…Ferrofluids are colloidal suspensions of magnetic monodomains in a non-magnetic carrier liquid [1]. They behave like a super-paramagnetic substance, which allows for a wide range of applications [2], and a peculiar flow behavior under the influence of external magnetic fields [3][4][5]. In general the hydrodynamics of polarizable fluids is an interesting and non-trivial topic which includes such subtle effects as counter propagation of free surfaces under the influence of external magnetic fields [6,7].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of a single ferrofluid-peak in an oscillating magnetic field

Mahr

Rehberg

1998

Physica D: Nonlinear Phenomena

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If a magnetic field normal to the surface of a magnetic fluid is increased beyond a critical value a spontaneous deformation of the surface arises (normal field instability). The instability is subcritical and leads to peaks of a characteristic shape. We investigate the neighborhood of this instability experimentally under the influence of a temporal modulation of the magnetic field. We use a small vessel, where only one peak arises. The modulation can either be stabilizing or destabilizing, depending on the frequency and amplitude. We observe a cascade of odd-numbered response-periods up to period 11, and also a domain of even-numbered periods. We propose a minimal model involving a cutoff-condition which captures the essence of the experimental observations.

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Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of a single ferrofluid-peak in an oscillating magnetic field

Mahr

Rehberg

1998

Physica D: Nonlinear Phenomena

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“…The free-surface oscillations of a magnetic liquid were studied in Refs. [375][376][377][378]. The parametric excitation of weakly nonlinear surface waves in a magnetic fluid subject to a periodically oscillating magnetic field was examined by Pursi and Malik [379].…”

Section: Faraday Waves Of Other Mediamentioning

confidence: 99%

Recent Advances in Physics of Fluid Parametric Sloshing and Related Problems

Ibrahim

2015

Journal of Fluids Engineering

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Liquid parametric sloshing, known also as Faraday waves, has been a long standing subject of interest. The development of the theory of Faraday waves has witnessed a number of controversies regarding the analytical treatment of sloshing modal equations and modes competition. One of the significant contributions is that the energy is transferred from lower to higher harmonics and the nonlinear coupling generated static components in the temporal Fourier spectrum, leading to a contribution of a nonoscillating permanent sinusoidal deformed surface state. This article presents an overview of different problems of Faraday waves. These include the boundary value problem of liquid parametric sloshing, the influence of damping and surfactants on the stability and response of the free surface, the weakly nonlinear parametric and autoparametric sloshing dynamics, and breaking waves under high parametric excitation level. An overview of the physics of Faraday wave competition together with pattern formation under single-, two-, three-, and multifrequency parametric excitation will be presented. Significant effort was made in order to understand and predict the pattern selection using analytical and numerical tools. Mechanisms for selecting the main frequency responses that are different from the first subharmonic one were identified in the literature. Nontraditional sources of parametric excitation and Faraday waves of ferromagnetic films and ferrofluids will be briefly discussed. Under random parametric excitation and g-jitter, the behavior of Faraday waves is described in terms of stochastic stability modes and spectral density function.

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“…などの溶媒中に高密度に分散させたコロイド溶液であり，磁性と流動性を合わせ持つ人工流体である (Rosensweig, 1985) ．磁性流体の自由表面は磁場の作用によってさまざまな界面現象を示す．たとえば，磁性流体プールが界面に垂直な方向の磁場の作用を受けると Rosensweig 不安定性が誘起され，界面に多数のスパイクが生成される (Cowley and Rosensweig, 1967) ．疑似的な 2 次元矩形容器内の磁性流体が磁場の作用を受けると，界面は櫛形不安定性を呈する (Sudo, et al, 1987) ．また，磁性流体液滴が磁場の作用を受けると，磁場の方向に伸長する (Sudo, et al, 1989, Afkhami, et al, 2010) ．さらに，平板上の磁性流体液滴が静磁場および鉛直方向の振動場を受けると，ボンド数，振動ボンド数および磁気ボンド数に応じた動的な伸縮応答を示す (Sudo, et al, 1993)．一方，磁性流体の吸着した小さな永久磁石が外部から交流磁場を受けると，永久磁石に磁気トルクが作用し，磁性流体-永久磁石の素子系にさまざまな運動が誘起される．著者らは，この磁気トルクを利用した幾つかのマイクロ磁性流体デバイスを提案してきた．たとえば，小さな円柱状永久磁石に磁性流体を吸着させた素子系に交流磁場を印加することによって，往復運動を行う磁性流体デバイスや回転運動を行うマイクロ磁性流体モータなどの基本原理と駆動特性を報告した (Sudo, et al, 2005, Sudo, et al, 2012a) ．また，小さな球状永久磁石に磁性流体を吸着させた素子系に交流磁場を印加し，平板上で振り子振動を行なうスウィング型アクチュエータの駆動特性についても報告した (Sudo, et al, 2007) 本報では， (Rosensweig, 1985) ．著者らも，小さな円柱形状の永久磁石(直径 4 mm，高さ 5 mm，表面磁束密度 430 mT の NdFeB 磁石)に磁性流体を吸着させ，外部から 5 mT 以下の小さな強さの交流磁場を印加し，磁性流体の界面応答を調べ，その周波数特性を報告した (Sudo, et al, 2012b) ．図 1 は，そのような磁石-磁性流体素子に交流磁場が作用した場合の磁性流体界面の応答挙動の一例を示している．図 1 における実験 Fig. 16 Response of magnetic fluid hole in the pipe subject to alternating magnetic field (V m = 1 × 10 -7 m 3 , f 0 = 80 Hz, E 0 = 60 V).…”

Section: 磁性流体は，マグネタイト，鉄，コバルト，ニッケルなどの強磁性体の微粒子を，水，炭化水素，ジエステルunclassified

Development of micro diaphragm mechanism using surface phenomenon of magnetic fluid

Sudo

Nakanishi

Shinozaki

et al. 2015

Transactions of the JSME (In Japanese)

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This paper is concerned with the development of magnetic fluid micro devices. Liquid responses of a magnetic fluid adsorbed on a ring-shaped permanent magnet subject to alternating magnetic fields were investigated. The magnetic fluid adsorbed on the permanent magnet forms a hole, and the diameter of magnetic hole may be changed by external magnetic fields. Frequency characteristics of micro diaphragm mechanism based on the magnetic fluid-permanent magnet element system were examined experimentally. Liquid surface responses of the magnetic fluid were examined over the wide frequency range. It was revealed that the frequency of the liquid surface motion corresponds to the frequency of external alternating magnetic field. The magnetic field distributions around the element system were also measured, and relations between the magnetic field distribution and magnetic fluid surface motion were discussed. Furthermore, the improved model of the magnet-magnetic fluid element was produced, and its driving characteristics were obtained experimentally.

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Dynamic behavior of magnetic liquid drop on a solid base subject to magnetic field and vertical vibration

Cited by 29 publications

References 3 publications

Nonlinear dynamics of a single ferrofluid-peak in an oscillating magnetic field

Nonlinear dynamics of a single ferrofluid-peak in an oscillating magnetic field

Recent Advances in Physics of Fluid Parametric Sloshing and Related Problems

Development of micro diaphragm mechanism using surface phenomenon of magnetic fluid

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